{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T02:07:39Z","timestamp":1763345259271,"version":"3.45.0"},"reference-count":92,"publisher":"Tech Science Press","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["CMC"],"published-print":{"date-parts":[[2025]]},"DOI":"10.32604\/cmc.2025.068226","type":"journal-article","created":{"date-parts":[[2025,8,4]],"date-time":"2025-08-04T08:49:50Z","timestamp":1754297390000},"page":"65-88","source":"Crossref","is-referenced-by-count":0,"title":["Phase Field Simulation of Fracture Behavior in Shape Memory Alloys and Shape Memory Ceramics: A Review"],"prefix":"10.32604","volume":"85","author":[{"given":"Junhui","family":"Hua","sequence":"first","affiliation":[]},{"given":"Junyuan","family":"Xiong","sequence":"additional","affiliation":[]},{"given":"Bo","family":"Xu","sequence":"additional","affiliation":[]},{"given":"Chong","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Qingyuan","family":"Wang","sequence":"additional","affiliation":[]}],"member":"17807","published-online":{"date-parts":[[2025]]},"reference":[{"key":"ref1","doi-asserted-by":"crossref","first-page":"7371","DOI":"10.3390\/app11167371","article-title":"Fracture mechanics\u2014theory, modeling and applications","volume":"11","author":"Rougier","year":"2021","journal-title":"Appl Sci"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"4789","DOI":"10.1007\/s00707-024-03979-y","article-title":"Fracture criteria and rheological fracture mechanism of brittle materials based on Eshelby stress","volume":"235","author":"Wang","year":"2024","journal-title":"Acta Mech"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.mattod.2023.10.002","volume":"70","author":"Nguyen","year":"2023","journal-title":"Mater Today"},{"key":"ref4","doi-asserted-by":"crossref","first-page":"11311","DOI":"10.1016\/j.ceramint.2020.01.160","article-title":"Temperature dependence of the fracture strength of porous ceramic materials","volume":"46","author":"Wang","year":"2020","journal-title":"Ceram Int"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.engfailanal.2012.11.015","article-title":"19th European conference on fracture (ECF19) fracture mechanics for durability, reliability and safety","volume":"29","author":"Goldstein","year":"2013","journal-title":"Eng Fail Anal"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"4138","DOI":"10.3390\/app11094138","article-title":"Extension of the equivalent material concept to compressive loading: combination with LEFM criteria for fracture prediction of keyhole notched polymeric samples","volume":"11","author":"Torabi","year":"2021","journal-title":"Appl Sci"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"104824","DOI":"10.1016\/j.engfailanal.2020.104824","article-title":"Fatigue analysis of a bucket wheel by using linear elastic fracture mechanics","volume":"118","author":"Barcelos","year":"2020","journal-title":"Eng Fail Anal"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1016\/0013-7944(94)00189-O","article-title":"An EPFM analysis of crack initiation, stable growth and instability","volume":"50","author":"Wang","year":"1995","journal-title":"Eng Fract Mech"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"109420","DOI":"10.1016\/j.engfailanal.2025.109420","article-title":"Study on fatigue failure behavior of 316L\/2Cr13 multilayered steel: fracture mechanism and a new method for fatigue strength prediction","volume":"172","author":"Zhou","year":"2025","journal-title":"Eng Fail Anal"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1007\/978-94-009-5123-5_2","author":"Shockey","year":"1985","journal-title":"Dynamic fracture"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"00368504231211660","DOI":"10.1177\/00368504231211660","article-title":"Numerical simulation and experimental verification of fatigue crack propagation in high-strength bolts based on fracture mechanics","volume":"106","author":"Zhang","year":"2023","journal-title":"Sci Prog"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"111843","DOI":"10.1016\/j.tws.2024.111843","article-title":"Multiscale and multifield coupled fatigue crack initiation and propagation of orthotropic steel decks","volume":"199","author":"Tang","year":"2024","journal-title":"Thin-Walled Struct"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"116706","DOI":"10.1016\/j.cma.2023.116706","article-title":"Order reduction of fracture mechanics in porous microstructures: a multiscale computing framework","volume":"420","author":"Khan","year":"2024","journal-title":"Comput Methods Appl Mech Eng"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"102445","DOI":"10.1016\/j.tafmec.2019.102445","article-title":"Time-dependent fracture of epoxy resin under mixed-mode I\/III loading","volume":"106","author":"Poapongsakorn","year":"2020","journal-title":"Theor Appl Fract Mech"},{"key":"ref15","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1016\/0013-7944(87)90021-X","article-title":"Nonequilibrium statistical theory of fatigue fracture","volume":"26","author":"Xing","year":"1987","journal-title":"Eng Fract Mech"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/j.commatsci.2016.04.009","article-title":"Abaqus implementation of monolithic and staggered schemes for quasi-static and dynamic fracture phase-field model","volume":"121","author":"Liu","year":"2016","journal-title":"Comput Mater Sci"},{"key":"ref17","doi-asserted-by":"crossref","first-page":"1022","DOI":"10.1016\/j.rinp.2018.08.022","article-title":"Analysis of quality defects in the fracture surface of fracture splitting connecting rod based on three-dimensional crack growth","volume":"10","author":"Shi","year":"2018","journal-title":"Results Phys"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"1141","DOI":"10.1007\/s00466-014-1045-x","article-title":"Phase field approximation of dynamic brittle fracture","volume":"54","author":"Schl\u00fcter","year":"2014","journal-title":"Comput Mech"},{"key":"ref19","doi-asserted-by":"crossref","first-page":"109855","DOI":"10.1016\/j.engfracmech.2024.109855","article-title":"A phase-field fatigue fracture model considering the thickness effect","volume":"296","author":"Hu","year":"2024","journal-title":"Eng Fract Mech"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"109176","DOI":"10.1016\/j.engfracmech.2023.109176","article-title":"A phase-field model for mixed-mode elastoplastic fatigue crack","volume":"282","author":"Xie","year":"2023","journal-title":"Eng Fract Mech"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"116539","DOI":"10.1016\/j.cma.2023.116539","article-title":"An adaptive phase-field simulation for hydrogen embrittlement fracture with multi-patch isogeometric method","volume":"418","author":"Si","year":"2024","journal-title":"Comput Methods Appl Mech Eng"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"112667","DOI":"10.1016\/j.rser.2022.112667","article-title":"A comprehensive review of composite phase change material based thermal management system for lithium-ion batteries","volume":"167","author":"Zhao","year":"2022","journal-title":"Renew Sustain Energy Rev"},{"key":"ref23","doi-asserted-by":"crossref","first-page":"108678","DOI":"10.1016\/j.engfracmech.2022.108678","article-title":"Mesoscopic study on fracture behavior of fully graded concrete under uniaxial tension by using the phase-field method","volume":"272","author":"Guo","year":"2022","journal-title":"Eng Fract Mech"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"5328","DOI":"10.3390\/ma14185328","article-title":"Potential phase change materials in building wall construction\u2014a review","volume":"14","author":"Kurdi","year":"2021","journal-title":"Materials"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"106752","DOI":"10.1016\/j.engfracmech.2019.106752","article-title":"Fracture modeling of brittle biomaterials by the phase-field method","volume":"224","author":"Wu","year":"2020","journal-title":"Eng Fract Mech"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"104188","DOI":"10.1016\/j.jobe.2022.104188","article-title":"Transient energy storage in phase change materials, development and simulation of a new TRNSYS component","volume":"50","author":"Abbassi","year":"2022","journal-title":"J Build Eng"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"120787","DOI":"10.1016\/j.actamat.2025.120787","article-title":"Interfacial strain concentration and relaxation along crystalline-amorphous boundaries of B2-reinforced bulk-metallic-glass-composites during loading","volume":"287","author":"Fu","year":"2025","journal-title":"Acta Mater"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"1171","DOI":"10.3390\/ma16031171","article-title":"Effect of simulated mastication on structural stability of prosthetic zirconia material after thermocycling aging","volume":"16","author":"Zi\u0119bowicz","year":"2023","journal-title":"Materials"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.engfracmech.2016.03.035","article-title":"Study of crack propagation behavior in single crystalline tetragonal zirconia with the phase field method","volume":"159","author":"Zhao","year":"2016","journal-title":"Eng Fract Mech"},{"key":"ref30","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/j.msea.2017.06.060","article-title":"Study of transformation induced intergranular microcracking in tetragonal zirconia polycrystals with the phase field method","volume":"701","author":"Zhu","year":"2017","journal-title":"Mater Sci Eng"},{"key":"ref31","doi-asserted-by":"crossref","first-page":"106011","DOI":"10.1016\/j.jmps.2024.106011","volume":"196","author":"Xu","year":"2025","journal-title":"J Mech Phys Solids"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"101364","DOI":"10.1016\/j.pmatsci.2024.101364","article-title":"Progress in phase field modeling of functional properties and fracture behavior of shape memory alloys","volume":"148","author":"Xu","year":"2025","journal-title":"Prog Mater Sci"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"759","DOI":"10.1016\/S1359-6454(96)00180-2","article-title":"Three-dimensional field model and computer modeling of martensitic transformations","volume":"45","author":"Wang","year":"1997","journal-title":"Acta Mater"},{"key":"ref34","doi-asserted-by":"crossref","first-page":"116665","DOI":"10.1016\/j.actamat.2021.116665","volume":"207","author":"Zhu","year":"2021","journal-title":"Acta Mater"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1016\/j.ijplas.2016.11.006","article-title":"Crystallographic analysis and phase field simulation of transformation plasticity in a multifunctional \u03b2-Ti alloy","volume":"89","author":"Zhu","year":"2017","journal-title":"Int J Plast"},{"key":"ref36","doi-asserted-by":"crossref","first-page":"5223","DOI":"10.1016\/j.actamat.2013.05.015","article-title":"Phase field modeling of the tetragonal-to-monoclinic phase transformation in zirconia","volume":"61","author":"Mamivand","year":"2013","journal-title":"Acta Mater"},{"key":"ref37","doi-asserted-by":"crossref","first-page":"2997","DOI":"10.1617\/s11527-014-0372-x","article-title":"Fracture failure in crack interaction of asphalt binder by using a phase field approach","volume":"48","author":"Hou","year":"2015","journal-title":"Mater Struct"},{"key":"ref38","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/j.cma.2012.01.008","article-title":"A phase-field description of dynamic brittle fracture","volume":"217","author":"Borden","year":"2012","journal-title":"Comput Methods Appl Mech Eng"},{"key":"ref39","doi-asserted-by":"crossref","first-page":"684","DOI":"10.1061\/(ASCE)MT.1943-5533.0000874","article-title":"Modeling Mode I cracking failure in asphalt binder by using nonconserved phase-field model","volume":"26","author":"Hou","year":"2014","journal-title":"J Mater Civ Eng"},{"key":"ref40","doi-asserted-by":"crossref","first-page":"1209","DOI":"10.1016\/j.jmps.2009.04.011","article-title":"Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments","volume":"57","author":"Amor","year":"2009","journal-title":"J Mech Phys Solids"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"1459","DOI":"10.1007\/s00419-014-0945-8","article-title":"A combined phase field approach for martensitic transformations and damage","volume":"85","author":"Schmitt","year":"2015","journal-title":"Arch Appl Mech"},{"key":"ref42","doi-asserted-by":"crossref","first-page":"112384","DOI":"10.1016\/j.ijsolstr.2023.112384","article-title":"Tension-compression asymmetric functional degeneration of super-elastic NiTi shape memory alloy: experimental observation and multiscale constitutive model","volume":"280","author":"Kan","year":"2023","journal-title":"Int J Solids Struct"},{"key":"ref43","doi-asserted-by":"crossref","first-page":"411","DOI":"10.4171\/ifb\/171","article-title":"Numerical implementation of the variational formulation for quasi-static brittle fracture","volume":"9","author":"Bourdin","year":"2007","journal-title":"Interfaces Free Boundaries Math Anal Comput Appl"},{"key":"ref44","doi-asserted-by":"crossref","first-page":"116677","DOI":"10.1016\/j.cma.2023.116677","article-title":"Phase-field description of fracture in NiTi single crystals","volume":"419","author":"Kavvadias","year":"2024","journal-title":"Comput Methods Appl Mech Eng"},{"key":"ref45","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.ijplas.2013.08.012","article-title":"Crystal plasticity based constitutive model of NiTi shape memory alloy considering different mechanisms of inelastic deformation","volume":"54","author":"Yu","year":"2014","journal-title":"Int J Plast"},{"key":"ref46","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1016\/S0749-6419(99)80000-X","article-title":"Micromechanical modeling of martensitic transformation induced plasticity (TRIP) in austenitic single crystals","volume":"14","author":"Cherkaoui","year":"1998","journal-title":"Int J Plast"},{"key":"ref47","doi-asserted-by":"crossref","first-page":"113504","DOI":"10.1016\/j.cma.2020.113504","article-title":"Phase field modelling of fracture and fatigue in shape memory alloys","volume":"373","author":"Simoes","year":"2021","journal-title":"Comput Methods Appl Mech Eng"},{"journal-title":"Phase-field Approaches to fatigue fracture in brittle materials and overload fracture in shape memory alloys [dissertation]","year":"2023","author":"Hasan","key":"ref48"},{"key":"ref49","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/j.engfracmech.2017.11.036","article-title":"A phenomenological approach to fatigue with a variational phase-field model: the one-dimensional case","volume":"190","author":"Alessi","year":"2018","journal-title":"Eng Fract Mech"},{"key":"ref50","doi-asserted-by":"crossref","first-page":"1243","DOI":"10.1111\/ffe.13638","article-title":"Modelling fatigue crack growth in shape memory alloys","volume":"45","author":"Simoes","year":"2022","journal-title":"Fatigue Fract Eng Mater Struct"},{"key":"ref51","doi-asserted-by":"crossref","first-page":"618","DOI":"10.1177\/1056789510386852","article-title":"Gradient damage models and their use to approximate brittle fracture","volume":"20","author":"Pham","year":"2011","journal-title":"Int J Damage Mech"},{"key":"ref52","doi-asserted-by":"crossref","first-page":"797","DOI":"10.1016\/S0022-5096(99)00028-9","article-title":"Numerical experiments in revisited brittle fracture","volume":"48","author":"Bourdin","year":"2000","journal-title":"J Mech Phys Solids"},{"key":"ref53","doi-asserted-by":"crossref","first-page":"112731","DOI":"10.1016\/j.cma.2019.112731","article-title":"A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach","volume":"361","author":"Carrara","year":"2020","journal-title":"Comput Methods Appl Mech Eng"},{"key":"ref54","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s10704-011-9664-0","article-title":"Numerical simulation of intergranular and transgranular crack propagation in ferroelectric polycrystals","volume":"174","author":"Abdollahi","year":"2012","journal-title":"Int J Fract"},{"key":"ref55","doi-asserted-by":"crossref","first-page":"110057","DOI":"10.1016\/j.commatsci.2020.110057","article-title":"Phase-field modeling of crack propagation in polycrystalline materials","volume":"186","author":"Emdadi","year":"2021","journal-title":"Comput Mater Sci"},{"key":"ref56","doi-asserted-by":"crossref","first-page":"109122","DOI":"10.1016\/j.ijmecsci.2024.109122","article-title":"A thermodynamically-consistent non-isothermal phase-field model for probing evolution of crack propagation and phase transformation","volume":"270","author":"Zhen","year":"2024","journal-title":"Int J Mech Sci"},{"key":"ref57","doi-asserted-by":"crossref","first-page":"4430","DOI":"10.3390\/ma13194430","article-title":"Study of the fracture behavior of tetragonal zirconia polycrystal with a modified phase field model","volume":"13","author":"Zhu","year":"2020","journal-title":"Materials"},{"key":"ref58","doi-asserted-by":"crossref","first-page":"107403","DOI":"10.1016\/j.engfracmech.2020.107403","article-title":"Concurrent modeling of martensitic transformation and crack growth in polycrystalline shape memory ceramics","volume":"241","author":"Moshkelgosha","year":"2021","journal-title":"Eng Fract Mech"},{"key":"ref59","doi-asserted-by":"crossref","first-page":"111844","DOI":"10.1016\/j.commatsci.2022.111844","article-title":"A phase-field model for interactive evolution of phase transformation and cracking in superelastic shape memory ceramics","volume":"216","author":"Lotfolahpour","year":"2023","journal-title":"Comput Mater Sci"},{"key":"ref60","doi-asserted-by":"crossref","first-page":"734","DOI":"10.3390\/ma16020734","volume":"16","author":"Pang","year":"2023","journal-title":"Materials"},{"key":"ref61","doi-asserted-by":"crossref","first-page":"110041","DOI":"10.1016\/j.ijmecsci.2025.110041","article-title":"Phase-field simulation on grain-size dependent fracture of cyclically loaded NiTi-SMA","volume":"289","author":"Xiong","year":"2025","journal-title":"Int J Mech Sci"},{"key":"ref62","doi-asserted-by":"crossref","first-page":"106550","DOI":"10.1016\/j.ijmecsci.2021.106550","article-title":"Three-dimensional phase field modeling of fracture in shape memory ceramics","volume":"204","author":"Moshkelgosha","year":"2021","journal-title":"Int J Mech Sci"},{"key":"ref63","doi-asserted-by":"crossref","first-page":"447","DOI":"10.1016\/j.cma.2016.01.023","article-title":"Phase field modeling and simulation of coupled fracture and twinning in single crystals and polycrystals","volume":"312","author":"Clayton","year":"2016","journal-title":"Comput Methods Appl Mech Eng"},{"key":"ref64","doi-asserted-by":"crossref","first-page":"2174","DOI":"10.1111\/ffe.14296","article-title":"Phase field simulations on the rate- and grain-size-dependent crack propagation of polycrystalline NiTi shape memory alloy","volume":"47","author":"Xiong","year":"2024","journal-title":"Fatigue Fract Eng Mat Struct"},{"key":"ref65","doi-asserted-by":"crossref","first-page":"109509","DOI":"10.1016\/j.commatsci.2019.109509","article-title":"Phase field modeling of crack propagation in shape memory ceramics\u2014application to zirconia","volume":"174","author":"Moshkelgosha","year":"2020","journal-title":"Comput Mater Sci"},{"article-title":"Anisotropic phase-field modeling of crack growth in shape memory ceramics: application to zirconia","series-title":"Proceedings of the ASME 2019 International Mechanical Engineering Congress and Exposition; 2019 Nov 11\u201314","author":"Moshkelgosha","key":"ref66"},{"key":"ref67","doi-asserted-by":"crossref","first-page":"106187","DOI":"10.1016\/j.ijmecsci.2020.106187","article-title":"On the crack onset and growth in martensitic micro-structures; a phase-field approach","volume":"194","author":"Borzabadi Farahani","year":"2021","journal-title":"Int J Mech Sci"},{"key":"ref68","doi-asserted-by":"crossref","first-page":"356","DOI":"10.1007\/s40830-022-00393-y","article-title":"A finite-strain phase-field description of thermomechanically induced fracture in shape memory alloys","volume":"8","author":"Hasan","year":"2022","journal-title":"Shap Mem Superelast"},{"key":"ref69","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1016\/j.engstruct.2019.01.049","article-title":"Superelastic NiTi SMA cables: thermal-mechanical behavior, hysteretic modelling and seismic application","volume":"183","author":"Fang","year":"2019","journal-title":"Eng Struct"},{"key":"ref70","doi-asserted-by":"crossref","first-page":"22","DOI":"10.54254\/2755-2721\/25\/20230728","article-title":"Application of SMA materials in aerospace","volume":"25","author":"Chen","year":"2023","journal-title":"Appl Comput Eng"},{"key":"ref71","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1243\/09544100JAERO211","article-title":"Aerospace applications of shape memory alloys","volume":"221","author":"Hartl","year":"2007","journal-title":"Proc Inst Mech Eng"},{"key":"ref72","doi-asserted-by":"crossref","first-page":"103001","DOI":"10.1088\/1361-665X\/acf1e8","article-title":"A review of shape memory alloy artificial muscles in bionic applications","volume":"32","author":"Du","year":"2023","journal-title":"Smart Mater Struct"},{"key":"ref73","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/j.mechatronics.2015.08.004","article-title":"Design, characterization and control of SMA springs-based multi-modal tactile display device for biomedical applications","volume":"31","author":"Mansour","year":"2015","journal-title":"Mechatronics"},{"key":"ref74","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1016\/j.ijplas.2015.05.011","article-title":"Rate-dependent cyclic deformation of super-elastic NiTi shape memory alloy: thermo-mechanical coupled and physical mechanism-based constitutive model","volume":"72","author":"Yu","year":"2015","journal-title":"Int J Plast"},{"key":"ref75","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1016\/j.jmps.2015.05.012","article-title":"A micromechanical constitutive model for anisotropic cyclic deformation of super-elastic NiTi shape memory alloy single crystals","volume":"82","author":"Yu","year":"2015","journal-title":"J Mech Phys Solids"},{"key":"ref76","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/j.ijplas.2014.10.001","article-title":"Effect of martensite reorientation and reorientation-induced plasticity on multiaxial transformation ratchetting of super-elastic NiTi shape memory alloy: new consideration in constitutive model","volume":"67","author":"Yu","year":"2015","journal-title":"Int J Plast"},{"key":"ref77","doi-asserted-by":"crossref","first-page":"106144","DOI":"10.1016\/j.ijmecsci.2020.106144","article-title":"Transformation-induced fracture toughening in CuAlBe shape memory alloys: a phase-field study","volume":"192","author":"Ciss\u00e9","year":"2021","journal-title":"Int J Mech Sci"},{"key":"ref78","doi-asserted-by":"crossref","first-page":"108585","DOI":"10.1016\/j.engfracmech.2022.108585","article-title":"Phase field simulation on the martensite transformation and reorientation toughening behaviors of single crystal NiTi shape memory alloy: effects of crystalline orientation and temperature","volume":"270","author":"Xiong","year":"2022","journal-title":"Eng Fract Mech"},{"key":"ref79","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/j.scriptamat.2015.10.036","article-title":"Grain size dependence of fracture toughness and crack-growth resistance of superelastic NiTi","volume":"113","author":"Ahadi","year":"2016","journal-title":"Scr Mater"},{"key":"ref80","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1177\/1045389X221111547","article-title":"A review on shape memory alloys and their prominence in automotive technology","volume":"34","author":"Shreekrishna","year":"2023","journal-title":"J Intell Mater Syst Struct"},{"key":"ref81","doi-asserted-by":"crossref","first-page":"4832","DOI":"10.3390\/ma16134832","article-title":"Shape memory alloys applied to automotive adaptive aerodynamics","volume":"16","author":"Battaglia","year":"2023","journal-title":"Materials"},{"key":"ref82","doi-asserted-by":"crossref","first-page":"e2505621","DOI":"10.1080\/17452759.2025.2505621","article-title":"Programmable polylactic acid-ceramics 4D printing with shape memory function","volume":"20","author":"Wu","year":"2025","journal-title":"Virtual Phys Prototyp"},{"key":"ref83","doi-asserted-by":"crossref","first-page":"11","DOI":"10.3390\/act5020011","article-title":"Antiferroelectric shape memory ceramics","volume":"5","author":"Uchino","year":"2016","journal-title":"Actuators"},{"key":"ref84","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1007\/s40830-022-00368-z","article-title":"Aerospace, energy recovery, and medical applications: shape memory alloy case studies for CASMART 3rd student design challenge","volume":"8","author":"Gantz","year":"2022","journal-title":"Shap Mem Superelasticity"},{"key":"ref85","doi-asserted-by":"crossref","first-page":"107077","DOI":"10.1016\/j.engfracmech.2020.107077","article-title":"Ferroelastic toughening of single crystalline yttria-stabilized t\u2019 zirconia: a phase field study","volume":"233","author":"Sun","year":"2020","journal-title":"Eng Fract Mech"},{"key":"ref86","doi-asserted-by":"crossref","first-page":"2465","DOI":"10.1016\/j.actamat.2006.11.041","article-title":"Phase field simulations of polarization switching-induced toughening in ferroelectric ceramics","volume":"55","author":"Wang","year":"2007","journal-title":"Acta Mater"},{"key":"ref87","doi-asserted-by":"crossref","first-page":"5172","DOI":"10.1016\/j.actamat.2012.06.023","article-title":"Phase field simulations of ferroelastic toughening: the influence of phase boundaries and domain structures","volume":"60","author":"Sluka","year":"2012","journal-title":"Acta Mater"},{"key":"ref88","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/S0921-5093(97)00106-8","article-title":"High-temperature crack growth in Y-TZP","volume":"232","author":"Alcal\u00e1","year":"1997","journal-title":"Mater Sci Eng"},{"key":"ref89","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1016\/j.jeurceramsoc.2006.04.108","article-title":"Static and cyclic crack propagation in Ce-TZP ceramics with different amounts of transformation toughening","volume":"27","author":"Attaoui","year":"2007","journal-title":"J Eur Ceram Soc"},{"key":"ref90","first-page":"563","article-title":"Crack propagation in TZP ceramics","volume":"161","author":"Chevallier","year":"1999","journal-title":"Key Eng Mater"},{"key":"ref91","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1016\/0272-8842(94)90028-0","article-title":"Surface crack initiation in 2Y-TZP ceramics by low temperature aging","volume":"20","author":"Lee","year":"1994","journal-title":"Ceram Int"},{"key":"ref92","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/j.engfracmech.2018.07.038","article-title":"A modified phase-field model for quantitative simulation of crack propagation in single-phase and multi-phase materials","volume":"200","author":"Emdadi","year":"2018","journal-title":"Eng Fract Mech"}],"container-title":["Computers, Materials &amp; Continua"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/cdn.techscience.cn\/files\/cmc\/2025\/TSP_CMC-85-1\/TSP_CMC_68226\/TSP_CMC_68226.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T02:04:20Z","timestamp":1763345060000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.techscience.com\/cmc\/v85n1\/63579"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"references-count":92,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2025]]},"published-print":{"date-parts":[[2025]]}},"URL":"https:\/\/doi.org\/10.32604\/cmc.2025.068226","relation":{},"ISSN":["1546-2226"],"issn-type":[{"type":"electronic","value":"1546-2226"}],"subject":[],"published":{"date-parts":[[2025]]}}}