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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Met. Alloy</journal-id>
<journal-title>Frontiers in Metals and Alloys</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Met. Alloy</abbrev-journal-title>
<issn pub-type="epub">2813-2459</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1238835</article-id>
<article-id pub-id-type="doi">10.3389/ftmal.2023.1238835</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Metals and Alloys</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Comparative analysis of process-induced strain glass states in austenitic and martensitic NiTi shape memory alloy plates</article-title>
<alt-title alt-title-type="left-running-head">John et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/ftmal.2023.1238835">10.3389/ftmal.2023.1238835</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>John</surname>
<given-names>Neha S.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2299868/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ashmore</surname>
<given-names>Bailey</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wall</surname>
<given-names>Michael T.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wheeler</surname>
<given-names>Robert W.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2406732/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Young</surname>
<given-names>Marcus L.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Giri</surname>
<given-names>Anit K.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Material Sciences and Engineering</institution>, <institution>University of North Texas</institution>, <addr-line>Denton</addr-line>, <addr-line>TX</addr-line>, <country>United States</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Army Research Directorate</institution>, <institution>DEVCOM Army Research Laboratory</institution>, <institution>APG</institution>, <addr-line>Adelphi</addr-line>, <addr-line>MD</addr-line>, <country>United States</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1665144/overview">S. K. Panigrahi</ext-link>, Defence Institute of Advanced Technology (DIAT), India</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2265781/overview">Abhishek Pandey</ext-link>, Council of Scientific and Industrial Research (CSIR), India</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2352806/overview">Tingkun Liu</ext-link>, Pacific Northwest National Laboratory (DOE), United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Neha S. John, <email>nehasjohn@gmail.com</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>06</day>
<month>09</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>2</volume>
<elocation-id>1238835</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>06</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>08</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 John, Ashmore, Wall, Wheeler, Young and Giri.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>John, Ashmore, Wall, Wheeler, Young and Giri</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Strain glass alloys (SGAs) are metallic alloys with glassy martensitic nanodomains within a crystalline material that occur from compositionally or processing-induced strain. SGAs originate from shape memory alloys (SMAs) and exhibit similar shape memory properties and high actuation densities. The transition from SMA to SGA is relatively unexplored, and although there are similarities to amorphous SMAs and cold-worked SMAs, SGAs should be distinguished as a separate grouping. The transition occurs by interrupting the long-range martensitic order, which in turn disrupts the martensitic transformation, resulting in short-range martensitic order. A glassy martensitic phase is produced that exhibits enhanced structural and load-bearing abilities, functional stresses, and recoverability. In this study, the transformation from SMA to SGA is explored in two common commercially available SMAs, Ni<sub>49.5</sub>Ti<sub>50.5</sub> and Ni<sub>50.8</sub>Ti<sub>49.2</sub> (at. %), to compare martensitic versus austenitic SGAs, respectively. SMA plates were cold worked in 5% increments until a strain glass transition occurred. Characterizations of the samples at various stages of cold work were examined via differential scanning calorimetry (DSC), Vickers hardness, transmission electron microscopy (TEM), and synchrotron radiation X-ray diffraction (SR-XRD). Some prominent characteristics between the two plates, such as enthalpy peaks, twin size reduction, and crystallographic structure, were examined and compared to improve the understanding of the SMA to SGA transition.</p>
</abstract>
<kwd-group>
<kwd>strain glass alloys</kwd>
<kwd>process-induced strain</kwd>
<kwd>shape memory alloy</kwd>
<kwd>cold work</kwd>
<kwd>martensitic transformation</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Physical Metallurgy</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>The discovery of SMAs was monumental, affecting multiple industries such as aerospace, automotive, biomedical, and civil engineering (<xref ref-type="bibr" rid="B25">Stoeckel, 1990</xref>; <xref ref-type="bibr" rid="B6">Hartl and Lagoudas, 2007</xref>; <xref ref-type="bibr" rid="B10">Kapoor, 2017</xref>). This material group has extensively impacted the fields of active and elastocaloric materials, due to desired thermal and mechanical properties, cyclical abilities, while being lightweight and elementally diverse. The quintessential characteristics of SMAs are the shape memory effect, martensitic transformation, pseudoelastic effect, and actuation response due to exhibiting high actuation densities (<xref ref-type="bibr" rid="B19">Otsuka and Wayman, 1998</xref>; <xref ref-type="bibr" rid="B7">Hartl and Lagoudas, 2008</xref>). The shape memory effect is defined by the recoverability hysteresis that shows the phase transformations that occur from thermal cycling and/or applying load. The martensitic transformation is a sharp single-step transformation that occurs when the material shifts from austenite to twinned martensite. It is a solid&#x2013;solid, diffusionless transformation resulting from a change in crystal structure but no diffusion of atoms. The pseudoelastic effect is defined by the complete shape recovery that occurs when the material is loaded in the high-temperature austenitic phase. A phase transformation from austenite to martensite occurs when loaded, which appears as additional elasticity, that is, &#x201c;pseudoelasticity.&#x201d; The material transforms back to the austenite phase upon unloading, allowing for a repeatable and fully recoverable shift between the two phases (<xref ref-type="bibr" rid="B26">Tadaki et al., 1988</xref>). While SMAs have been studied extensively (<xref ref-type="bibr" rid="B26">Tadaki et al., 1988</xref>; <xref ref-type="bibr" rid="B25">Stoeckel, 1990</xref>; <xref ref-type="bibr" rid="B19">Otsuka and Wayman, 1998</xref>; <xref ref-type="bibr" rid="B17">Miller and Lagoudas, 2001</xref>; <xref ref-type="bibr" rid="B18">Otsuka and Ren, 2005</xref>; <xref ref-type="bibr" rid="B6">Hartl and Lagoudas, 2007</xref>; <xref ref-type="bibr" rid="B7">Hartl and Lagoudas, 2008</xref>; <xref ref-type="bibr" rid="B16">Lobo et al., 2015</xref>; <xref ref-type="bibr" rid="B10">Kapoor, 2017</xref>; <xref ref-type="bibr" rid="B12">Ko et al., 2021</xref>), the effect of restricting the martensitic transformation (B2&#x2192;B19&#x2032; transformation) to nanodomains has remained relatively unexplored. This group of SMAs are called strain glass alloys (SGAs) (<xref ref-type="bibr" rid="B23">Sarkar et al., 2005</xref>; <xref ref-type="bibr" rid="B33">Wheeler et al., 2018a</xref>).</p>
<p>SGAs are a recently discovered group of active metallic alloys derived from SMAs. Unlike SMAs, SGAs do not show any phase transformation from thermal cycling; however, a phase transformation occurs via mechanical loading (<xref ref-type="bibr" rid="B33">Wheeler et al., 2018a</xref>). Some of the improved functional properties of SGAs are operational stresses, dimensional stability, and higher actuation densities (<xref ref-type="bibr" rid="B31">Wheeler et al., 2019</xref>). SGAs represent a new method of processing SMAs to obtain desired characteristics with multifunctional properties.</p>
<p>The transformation from SMA to SGA occurs when the martensitic transformation is disrupted, and glass-like martensitic nanodomains are produced via induced strain. The martensitic transformation noticed in SMAs, which is a single-step sharp transition, is replaced by the continuous strain glass transition, along with highly strained austenite (<xref ref-type="bibr" rid="B32">Wheeler et al., 2018b</xref>; <xref ref-type="bibr" rid="B28">Wang M. et al., 2022</xref>). This disruption can occur by compositionally or processing-induced strain. A precise amount of strain is necessary in both types of SGAs, causing the interruption of the transformation and making the alloy harder. The increase in hardness inhibits the thermal phase transformation and increases the actuation stresses of the alloy, which ultimately increases the work output of the SGA (<xref ref-type="bibr" rid="B32">Wheeler et al., 2018b</xref>).</p>
<p>SGAs have been mostly studied in near-equiatomic NiTi systems (<xref ref-type="bibr" rid="B23">Sarkar et al., 2005</xref>; <xref ref-type="bibr" rid="B35">Zhang et al., 2010</xref>; <xref ref-type="bibr" rid="B21">Qin et al., 2017</xref>; <xref ref-type="bibr" rid="B33">Wheeler et al., 2018a</xref>; <xref ref-type="bibr" rid="B32">Wheeler et al., 2018b</xref>; <xref ref-type="bibr" rid="B2">Bag et al., 2019</xref>; <xref ref-type="bibr" rid="B31">Wheeler et al., 2019</xref>; <xref ref-type="bibr" rid="B14">Liang et al., 2022</xref>). Compositionally induced strain occurs from altering the alloy composition and/or incorporating additional elements to SMAs, causing lattice distortions. These lattice distortions break up the long-range order (LRO) martensitic twins noticed in SMAs and result in short-range order (SRO) martensite that forms amorphous nanodomains (<xref ref-type="bibr" rid="B22">Ren, 2011</xref>). Whenever the alloy system is above a critical concentration, the thermal phase transformation is no longer observed. Elemental additions in NiTi-based SMA systems such as Fe (<xref ref-type="bibr" rid="B27">Wang et al., 2010</xref>; <xref ref-type="bibr" rid="B8">Hou, 2012</xref>), Cu (<xref ref-type="bibr" rid="B5">Hao et al., 2019</xref>; <xref ref-type="bibr" rid="B29">Wang W. et al., 2022</xref>), Co, Cr, and Mn (<xref ref-type="bibr" rid="B36">Zhou et al., 2010</xref>) have also proven to have a strain glass transition at specific concentrations. Most studied SGA systems are compositionally induced (<xref ref-type="bibr" rid="B23">Sarkar et al., 2005</xref>; <xref ref-type="bibr" rid="B27">Wang et al., 2010</xref>; <xref ref-type="bibr" rid="B35">Zhang et al., 2010</xref>; <xref ref-type="bibr" rid="B36">Zhou et al., 2010</xref>; <xref ref-type="bibr" rid="B8">Hou, 2012</xref>; <xref ref-type="bibr" rid="B21">Qin et al., 2017</xref>; <xref ref-type="bibr" rid="B5">Hao et al., 2019</xref>; <xref ref-type="bibr" rid="B4">Chen et al., 2020</xref>; <xref ref-type="bibr" rid="B34">Xu et al., 2021</xref>; <xref ref-type="bibr" rid="B29">Wang W. et al., 2022</xref>); however, another method of achieving strain glass states called processing-induced SGAs was recently identified (<xref ref-type="bibr" rid="B33">Wheeler et al., 2018a</xref>; <xref ref-type="bibr" rid="B32">Wheeler et al., 2018b</xref>; <xref ref-type="bibr" rid="B31">Wheeler et al., 2019</xref>; <xref ref-type="bibr" rid="B14">Liang et al., 2022</xref>). In compositionally and processing-induced SGAs, strain is introduced into the lattice in the form of atomic size mismatch or dislocations, respectively. As the concentration of these strain-inducing defects increases, the domain size of martensite decreases (<xref ref-type="bibr" rid="B28">Wang M. et al., 2022</xref>). When the defect concentration surpasses a critical value, there is a transformation in microstructure from twinned LRO domains to fragmented nanodomains.</p>
<p>This study focuses on processing-induced SGAs, which are produced by introducing dislocations into SMAs via cold working. These dislocations disturb the periodic distribution of atoms, which disrupts the martensitic transformation and causes glassy SRO martensite by finely fragmenting the martensitic twins. For processing-induced SGAs, an initial SMA composition is cold worked in steps, or rolling passes, to the point at which the thermal response is fully suppressed. One unique aspect of processing-induced SGAs, as compared to compositionally induced SGAs, is that the transformation temperatures can remain fixed.</p>
<p>It is important to distinguish processing-induced SGAs from cold-worked SMAs (<xref ref-type="bibr" rid="B17">Miller and Lagoudas, 2001</xref>; <xref ref-type="bibr" rid="B11">Khelfaoui and Gu&#xe9;nin, 2003</xref>; <xref ref-type="bibr" rid="B3">Chang et al., 2017</xref>) and amorphous SMAs (<xref ref-type="bibr" rid="B13">Koike et al., 1990</xref>; <xref ref-type="bibr" rid="B24">Sergueeva et al., 2003</xref>; <xref ref-type="bibr" rid="B20">Peterlechner et al., 2010</xref>; <xref ref-type="bibr" rid="B9">Jiang et al., 2013</xref>). Cold-working SMAs is a method of hardening the material that is commonly employed for processing and to obtain amorphous NiTi SMAs. While processing-induced SGAs may seem synonymous with cold-worked or amorphous NiTi SMAs, there are key characteristics that distinguish the three groups of alloys. SGAs are comprised of a crystalline matrix with amorphous nanodomains (<xref ref-type="bibr" rid="B33">Wheeler et al., 2018a</xref>), while amorphous SMAs are comprised of an amorphous matrix with a nanocrystalline phase (<xref ref-type="bibr" rid="B13">Koike et al., 1990</xref>). Generally, the intent with cold-worked SMAs is to create finer grains and introduce some dislocations into the material, which improves the ease of transformation (<xref ref-type="bibr" rid="B17">Miller and Lagoudas, 2001</xref>). Cold-worked SMAs tend to still exhibit thermal-phase transformation and recoverability (<xref ref-type="bibr" rid="B3">Chang et al., 2017</xref>). In contrast, amorphous SMAs are cold worked with the intent of achieving total SRO and exhibit degraded pseudoelastic behavior and shape memory effect, meaning the alloy shows very low or no recoverability but exhibits an increase in elasticity and strength (<xref ref-type="bibr" rid="B12">Ko et al., 2021</xref>). Conversely, SGAs show nearly linear pseudoelastic behavior (<xref ref-type="bibr" rid="B30">Wang et al., 2006</xref>). Complete amorphization, or merely cold working the material, is not the aim with processing-induced SGAs. Rather, the aim is to obtain the precise amount of strain required to suppress the thermal phase transformation and provide enhanced mechanical properties. One of the key distinctions of processing-induced SGAs is recognizing when the thermal transformation has been fully suppressed, meaning the martensite has become thoroughly distributed as amorphous nanodomains in a strained austenitic crystalline matrix. Beyond this critical point, the material becomes more amorphous and mechanically brittle, while below this critical point, the material still shows some LRO and only exhibits a strained thermal transformation. The enhanced mechanical properties of SGAs are a result of precisely controlling the amount of input strain, that is, dislocations worked into the material. The introduction of dislocations makes the material harder to transform, which in turn increases the amount of work generated by the SGA. The purpose and importance of SGAs, as compared to cold-worked and amorphous SMAs, lies in the ability of the material to have shape memory-like behavior with a fully suppressed thermal response and an enhanced mechanical response.</p>
<p>The aim of this study is to investigate and compare the two compositions of the commercially available SMA plates and explore where the SGA transition occurs. This was achieved by cold-working sections of the Ni<sub>49.5</sub>Ti<sub>50.5</sub> and Ni<sub>50.8</sub>Ti<sub>49.2</sub> (at. %) SMA plates in 5% increments until the thermal response was fully repressed. Differential scanning calorimetry (DSC) was performed on the cold-rolled samples to determine the critical amount of strain necessary to fully suppress the thermal transformation that indicates when a potential SGA has been created. Vickers hardness testing provided an elementary method to determine the heightened resistance to plastic deformation that is characteristic of potential SGAs. Both DSC and Vickers hardness testing served as preliminary characterization techniques to prove a potential SGA was achieved by showing the suppressed thermal transformation and proving an increase in resistance to plastic deformation. Transmission electron microscopy (TEM) and synchrotron radiation X-ray diffraction (SR-XRD) were further performed to determine the strain glass transition for both plates and provide detail regarding the micro- and nano-structural characteristics. This testing allows further elucidation of processing-induced SGAs and their associated properties.</p>
</sec>
<sec id="s2">
<title>Material selection</title>
<p>SMA plates of Ni<sub>49.5</sub>Ti<sub>50.5</sub> (SM495) and Ni<sub>50.8</sub>Ti<sub>49.2</sub> (SE508) were supplied by ATI Specialty Alloys &#x26; Components. These compositions were specifically investigated for four reasons: a) highly researched; their behavior and properties are well-known, b) commercial availability, c) binary compositions make it easier to isolate the effects of cold work, and d) the presence of different phases result in different properties at room temperature. At room temperature, Ni<sub>49.5</sub>Ti<sub>50.5</sub> is fully martensitic, while Ni<sub>50.8</sub>Ti<sub>49.2</sub> is fully austenitic.</p>
<p>Although the compositions seem analogous, the 1.3 at. % Ni difference has a large impact on the transformation temperatures and associated properties. The Ni<sub>49.5</sub>Ti<sub>50.5</sub> SMA plate is a Ni-lean NiTi composition that is known for its shape memory effect at room temperature, along with being in the martensitic phase. In similar studies by <xref ref-type="bibr" rid="B33">Wheeler et al. (2018a</xref>), <xref ref-type="bibr" rid="B32">Wheeler et al. (2018b</xref>), and <xref ref-type="bibr" rid="B31">Wheeler et al. (2019</xref>), a Ni<sub>49.5</sub>Ti<sub>50.5</sub> SMA rod was cold worked to discover that the processing-induced strain glass state in this material occurred at a 44% thickness reduction. An in-depth analysis of the same Ni<sub>49.5</sub>Ti<sub>50.5</sub> material via SR-XRD characterization was conducted by <xref ref-type="bibr" rid="B1">Ashmore et al. (2023</xref>). The Ni<sub>50.8</sub>Ti<sub>49.2</sub> SMA plate is a Ni-rich NiTi composition that is known for its pseudoelasticity at room temperature as well as being in the austenitic phase.</p>
<p>The objective of this research is to further identify the critical defect concentration to induce a strain glass transition in existing SMA NiTi systems. Studies have shown that both Ni<sub>49.5</sub>Ti<sub>50.5</sub> (<xref ref-type="bibr" rid="B33">Wheeler et al., 2018a</xref>; <xref ref-type="bibr" rid="B32">Wheeler et al., 2018b</xref>; <xref ref-type="bibr" rid="B31">Wheeler et al., 2019</xref>; <xref ref-type="bibr" rid="B1">Ashmore et al., 2023</xref>) and Ni<sub>50.8</sub>Ti<sub>49.2</sub> (<xref ref-type="bibr" rid="B14">Liang et al., 2022</xref>) have a strain glass transition. These two SMA plates were chosen for this study to further investigate and compare the effects of disrupting the martensitic transformation on the material that starts in either martensite or austenite at room temperature.</p>
</sec>
<sec id="s3">
<title>Experimental methods</title>
<p>The as-received SMA state (0% cold rolled) was fully characterized for comparison with SGA samples and to estimate the amount of cold rolling necessary to suppress the martensitic transformation.</p>
<p>Rolling in linear passes at room temperature was conducted using a Durston Rolling Mill to ensure a precisely controlled amount of input strain. DSC samples were prepared by cutting a small sample section, weighing between 14&#xa0;mg and 25&#xa0;mg, with a low-speed diamond saw. The sample was then placed and sealed in an Al crucible before being programmed and tested using a Netzsch DSC 204 F1 Phoenix. The samples were tested using a temperature profile between &#x2212;100&#xb0;C and 200&#xb0;C at a heating rate of 10&#xb0;C/min. The process of cold rolling in 5% increments and performing DSC continued in steps until the transformation temperatures were constant, meaning there was no associated enthalpy peak detected for both Ni<sub>49.5</sub>Ti<sub>50.5</sub> and Ni<sub>50.8</sub>Ti<sub>49.2</sub>. The previous 5% increment samples were then revisited and rolled in smaller 1% increments to verify exactly when the SGA state was reached, that is, the precise amount of rolling required to completely remove the thermal response, or enthalpy peaks. Further characterization was employed and necessary to prove a strain glass transition.</p>
<p>Vickers hardness was performed to test the alloy&#x2019;s ability to resist plastic deformation as it was processed. Samples were prepared for each 5% increment by cold mounting and polishing to a mirror finish. Ten indents, arranged in a 5 &#xd7; 2 array with 0.5&#xa0;mm spacing, were programmed using an automatic Vickers hardness tester at 0.5&#xa0;HV. The resulting hardness values were averaged for each increment and graphed.</p>
<p>TEM was performed to visualize the nanostructure and nanodomains between the as-received SMA and cold-rolled SGA states. TEM samples were prepared using a focused ion beam (FIB) lift-out technique with an FEI Nova FIB/SEM. TEM was performed using an FEI Tecnai G2 F20S-Twin S/TEM operating at 200&#xa0;keV. High-resolution TEM micrographs were collected in the high-angle annular dark field and bright-field Z-contrast configuration.</p>
<p>The as-received state, two intermediate cold-rolled states, and the potential SGA state were further characterized using SR-XRD to collect wide-angle X-ray scattering (WAXS) diffraction patterns and d-spacing plots. High-energy SR-XRD measurements were collected at the Sector 6-ID-D beamline of the Advanced Photon Source (APS) at Argonne National Laboratories. A beam energy of 60&#xa0;keV and a beam size of 400 &#xd7; 200&#xa0;&#x3bc;m<sup>2</sup> were used. Samples were aligned with the long axis of the sample in the vertical direction normal to the beam. Each <italic>ex situ</italic> diffraction pattern represents 100 summed, 0.1&#xa0;s exposures, for a total of 10&#xa0;s per diffraction image. Full Debye&#x2013;Scherrer diffraction rings were collected using a PerkinElmer amorphous Si detector at a distance of 36&#xa0;cm from the sample and calibrated using a CeO<sub>2</sub> standard.</p>
</sec>
<sec sec-type="results|discussion" id="s4">
<title>Results and discussion</title>
<sec id="s4-1">
<title>Differential scanning calorimetry</title>
<p>The stacked experimental DSC results of four processing conditions (as-received, two intermediate, and potential strain glass states) are presented in <xref ref-type="fig" rid="F1">Figures 1A,B</xref> for Ni<sub>49.5</sub>Ti<sub>50.5</sub> and Ni<sub>50.8</sub>Ti<sub>49.2</sub>, respectively. The conversion from a sharp single-step martensitic transformation to a continuous strain glass transition as the amount of cold working increased is shown by both alloys. The shift corresponds to the decrease in the enthalpy peak area until the martensitic transformation thermal response is suppressed. For both alloys, the magnitude of the DSC enthalpy peaks decreased with an increased amount of cold rolling and input dislocations. These dislocations induced lattice mismatch and shifted the materials from LRO toward SRO, thus interrupting the characteristic SMA enthalpy peak of the B2&#x2192;B19&#x2032; transformation. An important point to reiterate is that this characterization method does not fully prove that a process-induced SGA was fabricated.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Heat flow versus temperature as a function of percent rolling for <bold>(A)</bold> Ni<sub>49.5</sub>Ti<sub>50.5</sub> and <bold>(B)</bold> Ni<sub>50.8</sub>Ti<sub>49.2</sub> plates.</p>
</caption>
<graphic xlink:href="ftmal-02-1238835-g001.tif"/>
</fig>
<p>Ni<sub>49.5</sub>Ti<sub>50.5</sub> was subjected to a 33% cross-sectional reduction before the thermal phase transformation was fully suppressed, as shown in <xref ref-type="fig" rid="F1">Figure 1A</xref>. The intermediate processing samples for this alloy are the 11% and 22% cold-rolled states. Cold rolling from 0% to 11% had the largest reduction in the enthalpy peak area compared to when the sample was further rolled to the 22% and 33% states.</p>
<p>For the Ni<sub>50.8</sub>Ti<sub>49.2</sub> alloy in <xref ref-type="fig" rid="F1">Figure 1B</xref>, a 24% thickness reduction was required to suppress the enthalpy peak. The intermediate processing samples of this alloy are the 10% and 15% cold-rolled states. A secondary peak is noticed, which is the R phase. The R phase generally arises from the presence of finer grains, which occurs during the cold-rolling process. However, because the resulting potential SGA state has a fixed transformation temperature, the presence of the R phase contributes little to the study. A lower amount of cold rolling was necessary to reach the potential strain glass state for this alloy due to the higher content of Ni compared to the Ni<sub>49.5</sub>Ti<sub>50.5</sub> alloy.</p>
<p>Transformation temperatures for process-induced SGAs remain fixed, unlike peak shifting, which occurs in compositionally induced SGAs. It is noticed in both alloys that even as the enthalpy peak area decreases, the hysteresis transformation temperatures are fixed until the potential SGA state, where there is no detected temperature transformation. Because one of the main attributes of SGAs compared to SMAs is the absence of a thermal phase transformation, DSC is often the first method of characterization to indicate potential SGAs and determine the state of transition. However, this characterization method gives no information about the martensitic nanodomains of the material where the fundamental methodology of the strain glass transition occurs.</p>
</sec>
<sec id="s4-2">
<title>Vickers hardness</title>
<p>The averaged hardness values and overall trend as the amount of cold rolling increases are shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. As previously stated, the determined SGA mechanical characteristics are dimensional stability, enhanced structural and load-bearing abilities, functional stresses, and recoverability. Vickers hardness testing in this study posed as a rudimentary method to prove a non-linear peak in hardness value at the potential SGA state. There was a relatively linear increase in hardness until the potential SGA state. A peak in hardness was detected at the potential strain glass state, which was 33% for the Ni<sub>49.5</sub>Ti<sub>50.5</sub> alloy with a value of 455.86 HV. This trend is anticipated, as cold rolling is a method of strain-hardening metals. The alloy was further rolled to the 35% cold-rolled state before it plastically deformed, and a decrease in hardness occurred, falling to 430.46 HV. Peak hardness at the strain glass state is expected because adding dislocations makes a phase transformation difficult and increases the actuation stresses of the alloy, ultimately getting more work out of the alloy. A similar, but less pronounced, trend occurred for the Ni<sub>50.8</sub>Ti<sub>49.2</sub> alloy, with a peak hardness of 367.38 HV recorded at the 24% state. Further hardness testing beyond the 24% state did not occur due to the alloy cracking when rolled beyond 25%. This clarifies how small the strain glass &#x201c;window&#x201d; is and further proves that processing-induced SGAs require a very specific amount of input strain to reach this state.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Vickers hardness values as a function of percent rolling for Ni<sub>49.5</sub>Ti<sub>50.5</sub> and Ni<sub>50.8</sub>Ti<sub>49.2</sub>.</p>
</caption>
<graphic xlink:href="ftmal-02-1238835-g002.tif"/>
</fig>
<p>Further mechanical testing can and should be employed. Specifically, three-point bend testing, uniaxial tensile testing, and dynamic mechanical analysis can generate a more conclusive understanding regarding the thermo-mechanical properties. The previous Ni<sub>49.5</sub>Ti<sub>50.5</sub> rod study by <xref ref-type="bibr" rid="B32">Wheeler et al. (2018b</xref>) showed the cycling and recoverability capabilities of SGAs when loading and unloading, which were enhanced when compared to the as-received SMA sample. The two considerable mechanical improvements of SGAs compared to SMAs found in this study were: i) SGAs had substantially lower irrecoverable deformation after six loading and stress-free cycles than the SMAs and ii) 60% more energy density from the recoverable transformation was damped out by the SGA compared to the SMA. In this study, both the as-received SMA and the process-induced SGA (at the 45% cold-rolled state) initiated and completed recovery approximately at 70&#xb0;C and 110&#xb0;C, respectively. The enhanced thermo-mechanical abilities of SGAs contribute to and explain the core concepts of increased dimensional stability and higher operational stresses when comparing SGAs to SMAs.</p>
</sec>
<sec id="s4-3">
<title>Transmission electron microscopy</title>
<p>TEM results present the first nano-characterization method in this study that visualizes the local structures of the samples, that is, the SRO martensitic nanodomains of SGAs compared to the LRO martensitic twins in SMAs. The previous characterization methods, DSC and Vickers hardness, established the necessary amount of cold rolling required to indicate potential SGA states for both alloys. In bright-field TEM, dislocations, as a perturbation of the lattice, scatter the electrons resulting in a lower signal in the region. An increase in dislocations increases the number of scattering centers for conduction electrons, resulting in images appearing darker. A higher density in the deformed areas indicates that it is more difficult for electrons to pass through.</p>
<p>A full depiction of the nanostructure evolution across the top, middle, and bottom of the samples due to input strain is shown in <xref ref-type="fig" rid="F3">Figures 3A,B</xref> and <xref ref-type="fig" rid="F4">Figures 4A,B</xref> for Ni<sub>49.5</sub>Ti<sub>50.5</sub> and Ni<sub>50.8</sub>Ti<sub>49.2</sub>, respectively. For the Ni<sub>49.5</sub>Ti<sub>50.5</sub> alloy in <xref ref-type="fig" rid="F3">Figures 3A,B</xref>, the crystalline martensitic lathes of SMAs versus the amorphous martensitic nanodomains of SGAs are noticed. A variance of nanostructure is observed across the SMA sample, such as twin orientation and a triple point, as shown in <xref ref-type="fig" rid="F3">Figure 3A</xref>. Because this alloy is Ni-lean and martensitic at room temperature, the martensitic twins are visible and give the characteristic microstructure as imaged. Distinct lathes, such as those in <xref ref-type="fig" rid="F3">Figure 3A</xref> (showing the bottom of the SMA sample), measured to be approximately 200&#xa0;nm in thickness. The lathes noticed in the SMA sample were crushed via cold rolling, resulting in the microstructure present for the SGA shown in <xref ref-type="fig" rid="F3">Figure 3B</xref>. Some lathes from the crystalline matrix are still noticed, such as those seen in <xref ref-type="fig" rid="F3">Figure 3B</xref>, taken from the bottom of the SGA sample, which measured approximately 50&#xa0;nm&#x2013;100&#xa0;nm in length. This is because martensite has both LRO and SRO. However, the fragmented SRO nanodomains are more evident upon further magnification, such as those shown in <xref ref-type="fig" rid="F3">Figure 3B</xref>, which were taken from the middle of the SGA sample.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Bright-field TEM images from the top, middle, and bottom of the <bold>(A)</bold> SMA (top row) and <bold>(B)</bold> SGA (bottom row) of the Ni<sub>49.5</sub>Ti<sub>50.5</sub> plates.</p>
</caption>
<graphic xlink:href="ftmal-02-1238835-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Bright-field TEM images from the top, middle, and bottom of the <bold>(A)</bold> SMA (top row) and <bold>(B)</bold> SGA (bottom row) for the Ni<sub>50.8</sub>Ti<sub>49.2</sub> plates.</p>
</caption>
<graphic xlink:href="ftmal-02-1238835-g004.tif"/>
</fig>
<p>For the Ni<sub>50.8</sub>Ti<sub>49.2</sub> shown in <xref ref-type="fig" rid="F4">Figures 4A,B</xref>, the sample was in the austenitic phase at room temperature, resulting in the presence of large austenitic grains when TEM was conducted. Across the sample shown in <xref ref-type="fig" rid="F4">Figure 4A</xref>, a mixed matrix was present toward the top, and striations appeared from the middle down. For the images from the middle and bottom of the SMA sample, striations were measured to range from 100&#xa0;nm&#x2013;400&#xa0;nm in length. The resulting SGA microstructure in <xref ref-type="fig" rid="F4">Figure 4B</xref> also differed from that in <xref ref-type="fig" rid="F3">Figure 3B</xref>. One reason could be that the sample had to be thinned twice in preparation for TEM imaging because these samples proved to be difficult to mill to the thickness required for TEM. However, with the dominant phase being an austenitic matrix with martensitic nanodomains, a difference in microstructure between the two alloys is expected.</p>
<p>The microstructural transition from crystalline lathes and LRO at the as-received SMA state to nano-sized restricted twins within a crushed matrix of SRO at the SGA state, that is, 33% for Ni<sub>49.5</sub>Ti<sub>50.5</sub> and 24% for Ni<sub>50.8</sub>Ti<sub>49.2</sub>, correlated with the absence of enthalpy peaks from DSC in <xref ref-type="fig" rid="F1">Figures 1A,B</xref>.</p>
</sec>
<sec id="s4-4">
<title>Synchrotron radiation X-ray diffraction</title>
<p>High-intensity SR-XRD was conducted for the four processing conditions (as-received, two intermediate, and SGA states) in <xref ref-type="fig" rid="F5">Figures 5A&#x2013;E</xref> and <xref ref-type="fig" rid="F6">Figures 6A&#x2013;E</xref> for Ni<sub>49.5</sub>Ti<sub>50.5</sub> and Ni<sub>50.8</sub>Ti<sub>49.2</sub>, respectively. The Debye&#x2013;Scherrer 2D diffraction patterns in <xref ref-type="fig" rid="F5">Figures 5A&#x2013;D</xref> and <xref ref-type="fig" rid="F6">Figures 6A&#x2013;D</xref> show a difference in average structure and an increased amount of texturing as a response to the increased amount of input strain from cold working. This indicates that the twins become preferentially oriented. The as-received SMA states in <xref ref-type="fig" rid="F5">Figure 5A</xref> and <xref ref-type="fig" rid="F6">Figure 6A</xref> show relatively untextured and homogeneously distributed microstructure in the diffraction pattern. In comparison, <xref ref-type="fig" rid="F5">Figure 5D</xref> and <xref ref-type="fig" rid="F6">Figure 6D</xref> show the cold-rolled SGA states for Ni<sub>49.5</sub>Ti<sub>50.5</sub> and Ni<sub>50.8</sub>Ti<sub>49.2</sub>, respectively, and it is at this state where the glass-like SRO phase appears. The in-between cold-rolled states, that is, 11% and 22% for Ni<sub>49.5</sub>Ti<sub>50.5</sub> and 10% and 15% Ni<sub>50.8</sub>Ti<sub>49.2</sub>, show the transition states, increased amount of texture, and shift toward strong grain alignment. This was indicated by the nonuniform size and intensity distribution of the diffraction pattern rings. In <xref ref-type="fig" rid="F5">Figure 5E</xref> for Ni<sub>49.5</sub>Ti<sub>50.5</sub> and <xref ref-type="fig" rid="F6">Figure 6E</xref> for Ni<sub>50.8</sub>Ti<sub>49.2</sub>, the glass-like SRO phases from the d-spacing plots show that the peaks became broader as the amount of processing increased. Peak broadening is a common trend from large amounts of applied strain, which results in plastic deformation. It was noticed along the (111)<sub>M</sub> and (001)<sub>M</sub> for <xref ref-type="fig" rid="F5">Figure 5E</xref> and (110)<sub>A</sub> and (211)<sub>A</sub> for <xref ref-type="fig" rid="F6">Figure 6E</xref>. This is a standard trend for transitioning from crystalline states toward more glass-like states. A gradual increase in peak area was observed as the amount of cold rolling increased. This is true and noticed for both Ni<sub>49.5</sub>Ti<sub>50.5</sub> and Ni<sub>50.8</sub>Ti<sub>49.2</sub> alloys. The large amounts of induced plastic deformation resulted in lattice mismatch and distortion, which were shown by peak broadening and blurring of B2 and B19&#x2032; at the SGA state. An increase in peak intensity of the B2 austenitic phase, especially in <xref ref-type="fig" rid="F5">Figure 5E</xref> for Ni<sub>49.5</sub>Ti<sub>50.5</sub>, indicated retained austenite with the martensitic phase still present. While peak broadening and blurring alone cannot determine that a transition from crystalline to glass-like states occurred, it is a contributing factor to elucidating the effect of a specific amount of input dislocations on the lattice and the B2&#x2192;B19&#x2032; phase transition.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>One-quarter of full Debye&#x2013;Scherer diffraction patterns for the <bold>(A)</bold> as-received, <bold>(B)</bold> 11%, <bold>(C)</bold> 22%, and <bold>(D)</bold> 33% cold-rolled states from a Ni<sub>49.5</sub>Ti<sub>50.5</sub> sample. <bold>(E)</bold> Integrated normalized intensity versus d-spacing plots.</p>
</caption>
<graphic xlink:href="ftmal-02-1238835-g005.tif"/>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>One-quarter of full Debye&#x2013;Scherer diffraction patterns for the <bold>(A)</bold> as-received, <bold>(B)</bold> 10%, <bold>(C)</bold> 15%, and <bold>(D)</bold> 24% cold-rolled states from a Ni<sub>50.8</sub>Ti<sub>49.2</sub> sample. <bold>(E)</bold> Integrated normalized intensity versus d-spacing plots.</p>
</caption>
<graphic xlink:href="ftmal-02-1238835-g006.tif"/>
</fig>
<p>The 1D SR-XRD stacked patterns shown in <xref ref-type="fig" rid="F7">Figures 7A,B</xref> for Ni<sub>49.5</sub>Ti<sub>50.5</sub> and in <xref ref-type="fig" rid="F8">Figures 8A,B</xref> for Ni<sub>50.8</sub>Ti<sub>49.2</sub> indicate that SGAs are consistent across different temperature profiles and multiple cycles. The cyclical thermal transformation behavior of the as-received SMA and determined SGA states can be correlated to the conducted DSC experiments in <xref ref-type="fig" rid="F1">Figures 1A,B</xref>. It also serves as another visualization of the martensitic transition from being a sharp single step to a continuous transition. The as-received state for Ni<sub>49.5</sub>Ti<sub>50.5</sub> shown in <xref ref-type="fig" rid="F7">Figure 7A</xref> displays standard SMA thermal cycling behavior. The full forward transition from martensite to austenite occurs approximately 65&#xb0;C, confirmed by the appearance of the distinct (110)<sub>A</sub> peak. Similarly, the reverse transformation of austenite to martensite occurs at approximately 80&#xb0;C, which was determined either by the disappearance of the aforementioned (110)<sub>A</sub> peak or by the appearance of the (021)<sub>M</sub> peak. These transformation temperatures were validated by the DSC data presented in <xref ref-type="fig" rid="F1">Figure 1A</xref>. Similarly, for the Ni<sub>50.8</sub>Ti<sub>49.2</sub> SMA state in <xref ref-type="fig" rid="F8">Figure 8A</xref>, the full forward and reverse transformations can be identified by the appearance and disappearance of the (110)<sub>A</sub> and (021)<sub>M</sub> peaks. In contrast, the SGA states in <xref ref-type="fig" rid="F7">Figure 7B</xref> and <xref ref-type="fig" rid="F8">Figure 8B</xref> have a much less evident phase transformation. These figures provide glimpses of retained austenite and suppressed martensitic phases resulting from the strain glass transition. Retained austenite is evident throughout cycling by the consistent (110)<sub>A</sub> peak across heating and cooling cycles. Comparison of the distinct (021)<sub>M</sub> peak in the SMA state to the very broad peak in the SGA state proves the suppressed martensitic phase for SGA samples. The observed trends and comparisons between the as-received state and the cold-worked state for both alloys validate the transition from SMA toward the glass-like SGA state via process-induced strain.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Ni<sub>49.5</sub>Ti<sub>50.5</sub> 1D stacked SR-XRD patterns for the <bold>(A)</bold> as-received SMA and <bold>(B)</bold> cold-worked SGA states. All austenite and martensite (hkl) diffraction planes are labeled on the top.</p>
</caption>
<graphic xlink:href="ftmal-02-1238835-g007.tif"/>
</fig>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Ni<sub>50.8</sub>Ti<sub>49.2</sub> 1D stacked SR-XRD patterns for the <bold>(A)</bold> as-received SMA and <bold>(B)</bold> cold-worked SGA states. All austenite and martensite (hkl) diffraction planes are labeled on the top.</p>
</caption>
<graphic xlink:href="ftmal-02-1238835-g008.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>Conclusion</title>
<p>A recent method of processing SMAs was utilized to understand the effect of disrupting the martensitic LRO and forming amorphous nanodomains with martensitic SRO. Based on the obtained results, SGA states were analyzed and confirmed using various characterization methods to determine trends and compare Ni<sub>49.5</sub>Ti<sub>50.5</sub> and Ni<sub>50.8</sub>Ti<sub>49.2</sub>. For Ni<sub>49.5</sub>Ti<sub>50.5</sub>, a 33% thickness reduction was required to obtain a cold work-induced strain glass state, while a 24% reduction was required for Ni<sub>50.8</sub>Ti<sub>49.2</sub>. This percentage difference is due to the dissimilar amounts of Ni and the resulting parent phase. Various characterization methods provided in-depth analysis and further evaluated the trends for obtaining these strain glass states, as well as the effect of having different parent phases for the starting as-received material.</p>
<p>DSC was the initial characterization method employed to ascertain the amount of cold rolling required for potential SGA states. These potential states were determined by the absence of an enthalpy peak, indicating fixed and constant transformation temperatures. A quintessential characteristic of SGAs is the absence of a thermal phase transformation, which is why DSC tends to be the preliminary characterization method. Vickers hardness testing was conducted to display the enhanced mechanical abilities of potential SGAs compared to SMAs in a straightforward manner. A relatively linear increase with the amount of cold rolling occurs until the SGA state, where the Vickers hardness peaks. The incorporated strain enhances the work output of the material. TEM was the first nano-characterization method to visualize the strain glass transition and verify potential SGA states. A variation in micro-/nano-structure was noticed across the SMA samples, such as lathes, triple points, and striations. Specifically, martensitic twins were noted for the Ni<sub>49.5</sub>Ti<sub>50.5</sub> alloy, and large austenitic grains were present for the Ni<sub>50.8</sub>Ti<sub>49.2</sub> alloy. A rather consistent profile of martensitic nanodomains is observed across the SGA samples. Different parent phases also resulted in microstructural differences between the two alloys. SR-XRD Debye&#x2013;Scherrer 2D diffraction patterns further clarified the strain glass transition of these samples based on the increased amount of texture, a shift toward strong grain alignment, and nonuniform size and intensity distribution of the diffraction pattern rings. Peak broadening was a trend noticed for both d-spacing plots and 1D SR-XRD plots and is a common trend for the transition toward more amorphous-like states from a crystalline state; however, it is only a contributing factor for detecting the stain glass transition. The 1D SR-XRD data showed SGAs to be consistent across temperature profiles, which correlated with the obtained DSC data that indicated a retained austenitic phase and a suppressed martensitic phase.</p>
<p>Analysis using these techniques validated the potential strain glass state obtained from DSC and further defined the transition from SMA to SGA using process-induced methods while providing a comparative analysis of using alloys of differing parent phases. The evolution of mechanical ability, microstructure, and crystallographic features was observed under increasing strain.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>NJ wrote the manuscript and interpreted the provided data, as well as performed/analyzed DSC and Vickers hardness measurements. BA and RW measured and analyzed SR-XRD data. MW performed and analyzed TEM images. RW provided preliminary research and critical input. MY served as the supervisor of the project, revised the manuscript, and provided critical input. AG was the project funder/supervisor from Army Research Laboratory and provided approval for publication. RW, MY, AG, and NJ contributed to the conception and design of the study. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This work was performed under a cooperative agreement between the DEVCOM Army Research Laboratory and the University of North Texas (&#x23;W911NF-13-2-0018). ATI Specialty Alloys and Components supplied the Ni<sub>49.5</sub>Ti<sub>50.5</sub> and Ni<sub>50.8</sub>Ti<sub>49.2</sub> (at. %) plates. Beamline scientists Yang Ren and Chris Benmore helped with the experiments at Advanced Photon Source (APS). This research used resources of the APS, a U.S. Department of Energy (DoE) Office of Science User Facility operated for the DoE Office of Science by Argonne National Laboratory under contract no. DE-AC02-06CH11357. The Materials Research Facility (MRF) at the University of North Texas provided access to equipment. Lastly, MY&#x2019;s Research Group provided advice and assistance with experiments.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
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