International Journal of Plasticity最新文献

{"title":"Unraveling Deformation Mechanisms in CP-Ti via Crystal Plasticity: Direction-Dependent Surface Roughness Evolution","authors":"Kyung Mun Min, Jung Yun Won, Xiaohua Hu, Hyuk Jong Bong","doi":"10.1016/j.ijplas.2025.104503","DOIUrl":"https://doi.org/10.1016/j.ijplas.2025.104503","url":null,"abstract":"This study investigates the evolution of surface roughness and the underlying deformation mechanisms in ultra-thin commercially pure titanium (CP-Ti) sheets, which are attracting increasing attention as candidate materials for metallic bipolar plates in fuel cells. Under uniaxial tension along the rolling direction (RD), the sheets developed markedly rough surfaces with pronounced creases aligned with the loading direction. In contrast, loading along the transverse direction (TD) produced lower roughness and a more uniform, nearly isotropic surface morphology. Crystal plasticity finite element modeling reproduced these observations and attributed the direction-dependent roughness evolution to differences in the activation of slip and twinning systems. Tensile loading along RD was dominated by prismatic ⟨a⟩ slip, restricting through-thickness deformation. Conversely, tensile loading along TD activated multiple deformation systems, enabling more distributed deformation in multiple directions. These mechanisms were further supported by deformation microstructures revealed through electron backscatter diffraction. Taken together, these findings clarify the origin of direction-dependent roughening and provide mechanistic insight into heterogeneous through-thickness deformation behavior and its role in surface roughness evolution.","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"9 1","pages":""},"PeriodicalIF":9.8,"publicationDate":"2025-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145260719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Experimental study and micromechanics-based general constitutive theoretical framework for cold-region rocks under triaxial compression","authors":"Wenlin Wu, Yuanming Lai, Mingyi Zhang, Xiangtian Xu, Wansheng Pei, Ruiqiang Bai, Jing Zhang, Yanyan Chen","doi":"10.1016/j.ijplas.2025.104499","DOIUrl":"https://doi.org/10.1016/j.ijplas.2025.104499","url":null,"abstract":"This study establishes a general multiscale constitutive model by integrating micromechanics, thermodynamics, and fractional calculus theory for cold-region rocks under triaxial compression. Conventional triaxial compression tests are conducted on frozen and freeze-thawed rock samples to investigate the macroscopic mechanical properties under the influence of freezing temperature and freeze-thaw (F-T) cycles. Additionally, scanning electron microscopy (SEM) and nuclear magnetic resonance (NMR) analyses provide deeper insights into the intrinsic microscale physical mechanisms. Experimental observations reveal that, at the mesoscale, cold-region rocks can be conceptualized as a composite medium composed of a porous matrix interspersed with cracks. At the microscale, the porous matrix itself consists of mineral grains, pore ice, and unfrozen pore water. By quantitatively characterizing the relevant microstructural variables, a two-step homogenization procedure is employed to derive the effective elastic properties of rocks: the self-consistent scheme (SCS) at the microscale and the Mori–Tanaka (M-T) method at the mesoscale. After rigorously deducing the system’s free energy and corresponding state equations, we systematically establish specific criteria of the model: the loading damage evolution associated with crack initiation and propagation, state-dependent friction-cohesive-type yielding induced plastic distortion, and open cracks closure deformation caused nonlinear and Poisson effect. To accurately capture the characteristics of plastic deformation, the non-orthogonal plastic flow rule (NPFR) formulated via fractional differential calculus is adopted. For efficient numerical implementation, a robust stress integration algorithm is developed by combining the line search method (LSM) with conventional return mapping (RM) algorithm. The predictive performance of the proposed model is thoroughly validated through the frozen and F-T red sandstone and granite.","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"2 1","pages":""},"PeriodicalIF":9.8,"publicationDate":"2025-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145255205","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Modeling framework and discussion of microstructural effects on the formation of Cu–Cu bonding interfaces in semiconductor stacking","authors":"Jae-Uk Lee, Hyun-Dong Lee, Sung-Hyun Oh, Young-Dae Shim, Sukkyung Kang, Sanha Kim, Hoo-Jeong Lee, Eun-Ho Lee","doi":"10.1016/j.ijplas.2025.104501","DOIUrl":"https://doi.org/10.1016/j.ijplas.2025.104501","url":null,"abstract":"As computational costs increase with the increasing use of artificial intelligence, improving the performance and efficiency of semiconductor systems has become an unavoidable challenge. Bumpless bonding is considered an emerging technology for semiconductor stacking to increase input/output density. Some studies have aimed at precisely controlling the bonding temperature and pressure to achieve a reliable Cu–Cu bonding interface. Nevertheless, considerable variations in the interface have been observed, even under identical conditions, which are attributed to the influence of the Cu microstructure. Controlling the microstructure of Cu during bonding still faces many technical challenges, and insufficient research has been conducted. Although some experimental studies exist, they have not fully analyzed the complete mechanism of the microstructural effect, and studies on numerical analysis are lacking. This study developed a modeling framework and simulated the behavior occurring in Cu–Cu bonding by considering microstructural effects. To achieve this, the microstructural vector theory has been extended to consider the distortion of the atomic lattice caused by atomic flux and slip. The model was then implemented using the finite element method (FEM) through the ABAQUS user-defined material subroutine (UMAT). The numerical analysis results showed that the voids at the interface are more significantly affected by pressure than by temperature, and the combination of grains at the interface has a significant impact on interface formation. These simulation results were first used to mechanically analyze and discuss the experimental observations previously reported for Cu–Cu bonding. Furthermore, additional experiments and inverse pole figure (IPF) observations of the Cu–Cu bonding interface were conducted, and the results were found to be consistent with the trends predicted by the model. The research findings demonstrate that the microstructure has a significant impact on the bonding interface formation and confirm the potential for controlling the bonding interface through microstructural control.","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"13 1","pages":""},"PeriodicalIF":9.8,"publicationDate":"2025-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145255206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Critical role of L21 and L12 phase in deformation behaviors of additively manufactured FeCrNiAlTi alloy","authors":"Xiaopei Wang, Yan Wang, Wu Gong, Wenhua Wu, Youyou Zhang, Stefanus Harjo, Zhigang Yang, Hao Chen","doi":"10.1016/j.ijplas.2025.104502","DOIUrl":"https://doi.org/10.1016/j.ijplas.2025.104502","url":null,"abstract":"Precipitation hardening is a widely used strategy to enhance the strength of face-centered cubic (FCC) alloys, but it often comes at the expense of ductility. However, the precipitates may also influence the deformation behaviors of the FCC matrix, such as strain induced stacking faults and twins, which could potentially mitigate or eliminate the loss in ductility caused by the increase in strength. In this work, we fabricated an FeCrNiAlTi FCC alloy via laser additive manufacturing, in which high density incoherent L2₁ phase and coherent L1₂ phase were introduced at cell walls and within cells respectively. An excellent balance between strength and ductility was achieved at both ambient and cryogenic temperatures by controlling the precipitation of intermetallic phases. It was found that the high density precipitates not only provide substantial strengthening but also promote deformation-induced stacking faults (SFs) and twinning, thereby enhancing work hardening through the creation of strain heterogeneity. In-situ neutron diffraction results reveal that the lattice strain after the yielding of the alloy is the predominant factors governing the formation of SFs and twins. Numerical simulation results exhibit that the large interfacial misfit of the incoherent L2₁ phase with the FCC matrix significantly enhances the local strain. Additionally, the combination of larger size and greater spacing of the L1₂ phase increases the local strain. Both L2₁ phase and L1₂ phase contribute to the enlarged local strain heterogeneity, thereby enhancing the stacking fault probability and promoting the formation of nano SFs and twins. This study presents the critical role of precipitates in tailoring deformation behaviors, thereby providing a new insight for designing strong yet ductile FCC alloys via engineering high density precipitates.","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"114 1","pages":""},"PeriodicalIF":9.8,"publicationDate":"2025-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145255204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Achieving superior strength in high modulus Mg-Li matrix composites via rotary swaging with interfacial precipitation-induced strain compatibility","authors":"Jiawei Sun, Yuchuan Huang, Yangyang Xu, Jiaxin Yu, Zhihong Ye, Youjie Guo, Fangzhou Qi, Gaoming Zhu, Jie Wang, Guohua Wu, Hezhou Liu, Wencai Liu","doi":"10.1016/j.ijplas.2025.104498","DOIUrl":"https://doi.org/10.1016/j.ijplas.2025.104498","url":null,"abstract":"The inherently low Young’s modulus and limited strength of Mg-Li alloys have long restricted their structural application potential. In this study, we developed a modulus-oriented TiB₂/LAZ532 composite via rotary swaging, integrating particle reinforcement, severe plastic deformation, and interface engineering. Rotary swaging refined the grain structure to the submicron scale and introduced a high density of dislocation substructures, thereby enabling substantial strength improvement. Meanwhile, Li(Al, Zn) precipitates were observed to form at TiB₂/matrix interfaces, as confirmed by TEM, phase-field simulations, FEA, and in-situ synchrotron XRD. These interfacial precipitates acted as middle layer reducing stress concentration and enhancing strain transfer across particle/matrix boundaries, thus achieving improved deformation compatibility. Owing to the dual contribution of matrix grain refinement/dislocation hardening and interfacial strain accommodation, the composite achieved an ultimate tensile strength of 455 MPa, Young’s modulus of 61 GPa, and a low density of 1.75 g/cm³. This unique combination of ultra-light weight and mechanical robustness highlights a functionally partitioned strengthening strategy, wherein reinforcement, processing, and interface design contribute complementary roles. The approach provides a generalizable pathway for designing next-generation lightweight Mg-Li structural materials.","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"90 1","pages":""},"PeriodicalIF":9.8,"publicationDate":"2025-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145255207","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A Physics-Informed Intelligent Constitutive Approach for Predicting Creep Deformation Considering Polycrystalline Microstructure Evolution","authors":"Wei Liu, Huanbo Weng, Xiang Zhang, Weilin Liao, Yanwei Dai, Yinghua Liu","doi":"10.1016/j.ijplas.2025.104500","DOIUrl":"https://doi.org/10.1016/j.ijplas.2025.104500","url":null,"abstract":"Crystal plasticity finite element (CPFE) modeling has emerged as a leading mesoscopic modeling approach by integrating fully resolved microstructures and physics-based microscale deformation mechanisms into the constitutive modeling of crystal materials. However, this approach demands substantial computational resources, which limits its application for complex polycrystalline microstructures subjected to extreme loadings such as creep. In this study, a physics-informed intelligent constitutive model is proposed to accelerate the simulation of the creep response and life of polycrystalline microstructures and applied to nickel alloy Inconel 617. The model is trained with physical constraints and creep data generated by CPFE simulations that explicitly consider the interaction between dislocation glide and climb, grain boundary sliding and opening, and various grain orientations. To address the computational challenges and data redundancy issues associated with polycrystalline representative volume elements, two dimensionality reduction methods, namely principal component analysis and homogenized fabric tensor condensation, are proposed and studied. An autoregressive physics-informed neural network model is then developed using initial state and loading conditions as input, while creep time, evolution of creep strain, and grain orientation are the outputs. The model is trained using CPFE modeling data to predict the high-temperature creep behavior of Inconel 617. The latter demonstrates better predictive performance and delivers six orders of higher efficiency compared to direct numerical simulation using CPFE. The developed model is further used to study the rapid construction of intelligent constitutive and texture description, which shows improved efficiency and accuracy in predicting the creep behavior. The effect of texture description is further studied by using the proposed model. The fabric tensor is demonstrated to be an effective microstructural indicator.","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"56 1","pages":""},"PeriodicalIF":9.8,"publicationDate":"2025-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145247434","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"River-like dislocation channel unleashes high tensile ductility in as-cast refractory multi-principal element alloys","authors":"Dingcong Cui ,&nbsp;Bojing Guo ,&nbsp;Bo Xiao ,&nbsp;Qingfeng Wu ,&nbsp;Zhijun Wang ,&nbsp;Junjie Li ,&nbsp;Lei Wang ,&nbsp;Ji-jung Kai ,&nbsp;Qiuming Wei ,&nbsp;Jincheng Wang ,&nbsp;Feng He","doi":"10.1016/j.ijplas.2025.104497","DOIUrl":"10.1016/j.ijplas.2025.104497","url":null,"abstract":"<div><div>Dislocations govern the plastic deformability of structural alloys. However, this beneficial role is compromised in refractory multi-principal element alloys (RMPEAs), where tensile ductility degrades owing to plastic strain localization via planar slip and dislocation channeling. We proposed a ductilization concept based on engineered dislocation channels to divert and dredge dislocations, achieving a notable tensile ductility of 21 % and a yield strength exceeding the gigapascal mark in the as-cast RMPEA. To test the hypothesis that enhanced lattice distortion and chemical fluctuations act as dislocation diverters, we designed Ti₅₃V₁₅Hf₃₂ (V15) and Ti₄₁V₂₇Hf₃₂ (V27) RMPEAs with distinct volume misfit and Warren-Cowley parameters. In-situ synchrotron high-energy X-ray diffraction and transmission electron microscopy analyses revealed that increasing the volume misfit facilitates a transition in dislocation character from edge-based (V15) to screw-based (V27) under tensile loading. Atom probe tomography and high-angle annular dark-field scanning transmission electron microscopy characterizations further demonstrated that elevated V content engenders pronounced chemical fluctuations, inducing diversion of dislocation slip and the formation of river-like dislocation channels. These dislocation channels, on one hand, promoted dynamic strain hardening through dense intersections of the channel boundaries. On the other hand, they prevented premature necking and failure by enabling dislocations to proliferate and cross-slip within channels. Consequently, the river-like dislocation channels delayed plastic instability at ultrahigh yield strength, thereby enabling the RMPEA to unleash exceptional tensile ductility. These findings provide a dislocation-harnessing pathway for pursuing strength-ductility synergy in RMPEAs.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"194 ","pages":"Article 104497"},"PeriodicalIF":12.8,"publicationDate":"2025-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145229358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Precipitation-induced thermal-athermal shift in dislocation plasticity of a Mg alloy","authors":"X.Y. Xu ,&nbsp;Y.Z. Li ,&nbsp;C.P. Huang ,&nbsp;Chen Hu ,&nbsp;M. Wang ,&nbsp;Hui-Yuan Wang ,&nbsp;M.X. Huang","doi":"10.1016/j.ijplas.2025.104496","DOIUrl":"10.1016/j.ijplas.2025.104496","url":null,"abstract":"<div><div>Precipitation hardening is key to strengthening magnesium (Mg) alloys, yet its impact on dislocation-mediated plasticity requires further exploration. To clarify how precipitates alter dislocation mechanisms, we conducted tensile testing across a wide strain-rate range (10^–4 s^-1 to 800 s^-1) on solid-solution and aged samples. Our study reveals, possibly for the first time, that precipitates trigger a fundamental mechanistic shift in dislocation behavior throughout tensile plastic deformation, evidenced by distinct strain-rate dependencies in both yielding and work hardening. At yielding, aging-induced formation of basal nano-precipitates lead to an unusually large activation volume and rate-insensitive yield stress. This signifies a mechanistic transition in 〈<em>a</em>〉 dislocation glide—from thermally activated cutting of Ca clusters in the solution-treated state to an athermal Orowan bypass of Al₂Ca nano-precipitates in the aged state. During work hardening, precipitation alters the hardening response from rate-insensitive (solution-treated) to rate-sensitive (aged), primarily attributed to a change from cluster-controlled, fixed activation volume to forest-controlled, strain-dependent activation volume. These results establish direct mechanistic links between obstacle characteristics and strain-rate-dependent plasticity in Mg alloys.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"194 ","pages":"Article 104496"},"PeriodicalIF":12.8,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145209723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Enhancing strain hardening and strength-plasticity synergy upon dynamic loads in refractory high-entropy alloys via B2 ordering and spinodal decomposition","authors":"Ruixin Wang ,&nbsp;Yijing Fan ,&nbsp;Rong Chen ,&nbsp;Yan Fang ,&nbsp;Yujie Chen ,&nbsp;Peng Wang ,&nbsp;Hui Wang ,&nbsp;Yu Tang ,&nbsp;Shuxin Bai","doi":"10.1016/j.ijplas.2025.104482","DOIUrl":"10.1016/j.ijplas.2025.104482","url":null,"abstract":"<div><div>Refractory high-entropy alloys (RHEAs) demonstrate significant future for high-strain-rate applications. However, thermal softening-induced loss of strain hardening generally causes post-yield plastic instability and catastrophic failure in conventional RHEAs. Here, we utilize spinodal decomposition indued by Al addition to develop a TiZrNbTaAl_0.3 RHEA featuring a coherent BCC+B2 basket-weave. The ordered B2 frameworks and disordered BCC cuboidal phases architecture exhibits strong resistance for dislocation shearing and adiabatic temperature rise then provides strong dislocation pinning forces during dynamic deformation. The promoted multidirectional dislocation interactions through dislocation loop expansion mechanisms and <em>in</em>-<em>situ</em> grain refinement via deformation-induced substructure segmentation enhance the dislocation multiplication. Consequently, TiZrNbTaAl_0.3 RHEA achieves unprecedented strain hardening capacity (Δ<em>σ</em> = <em>σ</em>_U-tru - <em>σ</em>_Y-tru = 912 MPa) at 5400 s⁻¹, ultimately delivering simultaneous enhancements in strength (<em>σ</em>_Y-eng = 1813 ± 15 MPa, <em>σ</em>_U-eng = 3753 ± 21 MPa) and plasticity (<em>ε</em>_U &gt;40% with uniform strain ∼30%). This study provided valuable insights for optimizing the dynamic mechanical properties of RHEAs.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"194 ","pages":"Article 104482"},"PeriodicalIF":12.8,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145216176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"General statistical mechanics theory for fluctuating dislocation resistances in complex concentrated alloys","authors":"Wei Li, Shuang Lyu, Yuanhang Xia, Yue Chen, Alfonso H.W. Ngan","doi":"10.1016/j.ijplas.2025.104495","DOIUrl":"https://doi.org/10.1016/j.ijplas.2025.104495","url":null,"abstract":"Dislocations have wavy shapes in solute-solution alloys from solute interactions and thermal agitations at finite temperatures. From dislocation shapes simulated by molecular dynamics at different temperatures, the Fourier harmonics of the dislocation shapes are found to follow two trends: while the energies of long wave-length harmonics obey power-law distribution characteristic of random-walk, self-affine shapes, the energies of short-wavelength harmonics follow an exponential law corresponding to maximum entropy with mean energy &lt;span&gt;&lt;span&gt;&lt;math&gt;&lt;mrow is=\"true\"&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mo is=\"true\" linebreak=\"goodbreak\"&gt;/&lt;/mo&gt;&lt;mi is=\"true\"&gt;β&lt;/mi&gt;&lt;mo is=\"true\" linebreak=\"goodbreak\"&gt;=&lt;/mo&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mo is=\"true\" linebreak=\"goodbreak\"&gt;/&lt;/mo&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;β&lt;/mi&gt;&lt;mi is=\"true\"&gt;T&lt;/mi&gt;&lt;/msub&gt;&lt;mo is=\"true\" linebreak=\"goodbreak\"&gt;+&lt;/mo&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mo is=\"true\" linebreak=\"goodbreak\"&gt;/&lt;/mo&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;β&lt;/mi&gt;&lt;mi is=\"true\"&gt;M&lt;/mi&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;&lt;script type=\"math/mml\"&gt;&lt;math&gt;&lt;mrow is=\"true\"&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mo linebreak=\"goodbreak\" is=\"true\"&gt;/&lt;/mo&gt;&lt;mi is=\"true\"&gt;β&lt;/mi&gt;&lt;mo linebreak=\"goodbreak\" is=\"true\"&gt;=&lt;/mo&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mo linebreak=\"goodbreak\" is=\"true\"&gt;/&lt;/mo&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;β&lt;/mi&gt;&lt;mi is=\"true\"&gt;T&lt;/mi&gt;&lt;/msub&gt;&lt;mo linebreak=\"goodbreak\" is=\"true\"&gt;+&lt;/mo&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mo linebreak=\"goodbreak\" is=\"true\"&gt;/&lt;/mo&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;β&lt;/mi&gt;&lt;mi is=\"true\"&gt;M&lt;/mi&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/script&gt;&lt;/span&gt; comprising a thermal component &lt;span&gt;&lt;span&gt;&lt;math&gt;&lt;mrow is=\"true\"&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mo is=\"true\" linebreak=\"goodbreak\"&gt;/&lt;/mo&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;β&lt;/mi&gt;&lt;mi is=\"true\"&gt;T&lt;/mi&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;&lt;script type=\"math/mml\"&gt;&lt;math&gt;&lt;mrow is=\"true\"&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mo linebreak=\"goodbreak\" is=\"true\"&gt;/&lt;/mo&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;β&lt;/mi&gt;&lt;mi is=\"true\"&gt;T&lt;/mi&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/script&gt;&lt;/span&gt; and a mechanical component &lt;span&gt;&lt;span&gt;&lt;math&gt;&lt;mrow is=\"true\"&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mo is=\"true\" linebreak=\"goodbreak\"&gt;/&lt;/mo&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;β&lt;/mi&gt;&lt;mi is=\"true\"&gt;M&lt;/mi&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;&lt;script type=\"math/mml\"&gt;&lt;math&gt;&lt;mrow is=\"true\"&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mo linebreak=\"goodbreak\" is=\"true\"&gt;/&lt;/mo&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;β&lt;/mi&gt;&lt;mi is=\"true\"&gt;M&lt;/mi&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/script&gt;&lt;/span&gt;. The mechanical beta &lt;span&gt;&lt;span&gt;&lt;math&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;β&lt;/mi&gt;&lt;mi is=\"true\"&gt;M&lt;/mi&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;&lt;script type=\"math/mml\"&gt;&lt;math&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;β&lt;/mi&gt;&lt;mi is=\"true\"&gt;M&lt;/mi&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/script&gt;&lt;/span&gt; is a key indicator for dislocation-solute interactions: Fe&lt;sub&gt;70&lt;/sub&gt;Ni&lt;sub&gt;11&lt;/sub&gt;Cr&lt;sub&gt;19&lt;/sub&gt; with weak interactions has low and weakly temperature-dependent &lt;span&gt;&lt;span&gt;&lt;math&gt;&lt;mrow is=\"true\"&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mo is=\"true\" linebreak=\"goodbreak\"&gt;/&lt;/mo&gt;&lt;msub is=\"true\"&gt;&lt;mi is=\"true\"&gt;β&lt;/mi&gt;&lt;mi is=\"true\"&gt;M&lt;/mi&gt;&lt;/msub&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;&lt;script type=\"math/mml\"&gt;&lt;math&gt;&lt;mrow is=\"true\"&gt;&lt;mn is=\"true\"&gt;1&lt;/mn&gt;&lt;mo linebreak=\"goodbreak\" is=\"t","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"7 1","pages":""},"PeriodicalIF":9.8,"publicationDate":"2025-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145203338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}