Zuoliang Ning , Xiaofan Lv , Shouwen Shi , Xiang Guo , Shengkun Wang , Bin Xu , Gang Chen
{"title":"A kinematic hardening constitutive model for anomalous multiaxial ratcheting behaviors of zirconium alloy tubes under combined cyclic axial load and internal pressure at 648 K","authors":"Zuoliang Ning , Xiaofan Lv , Shouwen Shi , Xiang Guo , Shengkun Wang , Bin Xu , Gang Chen","doi":"10.1016/j.ijplas.2024.104202","DOIUrl":"10.1016/j.ijplas.2024.104202","url":null,"abstract":"<div><div>Uniaxial and multiaxial ratcheting tests of zirconium cladding tubes with constant internal pressure and cyclic axial loading were conducted at 648 K, aiming to investigate the influences of axial mean stress, stress amplitude, and inner pressure. Anomalous ratcheting behaviors were observed, including negative axial ratcheting strain accumulation under symmetric uniaxial cyclic loading conditions and significant changes in axial ratcheting strain direction under certain multiaxial loading conditions. A general formulation of kinematic hardening models was proposed to decouple asymmetry and anisotropy of the kinematic hardening rule from that of the initial yielding. On this basis, a phenomenological model incorporating the effects of the <span><math><mrow><mo>{</mo><mn>10</mn><mover><mn>1</mn><mo>¯</mo></mover><mn>2</mn><mo>}</mo></mrow></math></span> twinning-detwinning mechanism on cyclic plasticity was formulated to simulate the observed anomalous ratcheting behaviors. The predictions of the proposed model show acceptable agreement with the test results.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"184 ","pages":"Article 104202"},"PeriodicalIF":9.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142804677","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":"Intrinsic characteristics of grain boundary elimination induced by plastic deformation in front of intergranular microcracks in bcc iron","authors":"Zhifu Zhao , Yueguang Wei","doi":"10.1016/j.ijplas.2024.104208","DOIUrl":"10.1016/j.ijplas.2024.104208","url":null,"abstract":"<div><div>Additive grain boundary (GB) engineering holds significant potential for developing materials and structures with excellent mechanical properties by precisely controlling GB structure. The GBs that can be eliminated by plastic behavior activities prior to crack cleavage are ideal special ones for resisting intergranular fracture. Through molecular dynamics simulation, this work constructs special boundaries and studies the intrinsic characteristics of GB elimination. The results show that GB elimination phenomenon significantly depends on crack growth direction and GB plane. The classical theory developed by Rice fails to identify the mechanisms of two dependent characteristics. According to shear forces on atoms at crack tip, this work finds that the dependence of GB elimination on crack growth direction is attributed to the change of atomic slip characteristics. GB elimination occurs in specific growth directions where atomic slip is driven by the system of <span><math><mrow><mrow><mo>(</mo><mn>1</mn><mover><mn>1</mn><mo>¯</mo></mover><mn>2</mn><mo>)</mo></mrow><mrow><mo>[</mo><mover><mn>1</mn><mo>¯</mo></mover><mn>11</mn><mo>]</mo></mrow></mrow></math></span>. By considering <em>T</em> stress effect, GB elimination and its dependence on GB plane are well explained. The dependence of GB elimination on GB plane is attributed to the complex changes in critical stress intensity factors for twinning formation, perfect dislocation nucleation, and cleavage. GB elimination occurs on specific GBs where <em>T</em> stress makes the critical stress intensity factors for twinning and dislocation nucleation significantly lower than that for cleavage. The identified intrinsic characteristics of GB elimination provide references for GB design.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"184 ","pages":"Article 104208"},"PeriodicalIF":9.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142841236","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}
Daegun You , Orcun Koray Celebi , Ahmed Sameer Khan Mohammed , Ashley Bucsek , Huseyin Sehitoglu
{"title":"The derivation of CRSS in pure Ti and Ti-Al alloys","authors":"Daegun You , Orcun Koray Celebi , Ahmed Sameer Khan Mohammed , Ashley Bucsek , Huseyin Sehitoglu","doi":"10.1016/j.ijplas.2024.104187","DOIUrl":"10.1016/j.ijplas.2024.104187","url":null,"abstract":"<div><div>The work focuses on the determination of the critical resolved shear stress (CRSS) in titanium (Ti) and titanium-aluminum (Ti-Al) alloys, influenced by an array of factors such as non-symmetric fault energies and minimum energy paths, dislocation core-widths, short-range order (SRO) effects which alter the local atomic environment, and tension-compression (T-C) asymmetry affected by intermittent slip motion. To address these multifaceted complexities, an advanced theory has been developed, offering an in-depth understanding of the mechanisms underlying slip behavior. The active slip systems in these materials are basal, prismatic, and pyramidal planes, with the latter involving both <span><math><mrow><mo>〈</mo><mi>a</mi><mo>〉</mo></mrow></math></span> and <span><math><mrow><mo>〈</mo><mrow><mi>c</mi><mo>+</mo><mi>a</mi></mrow><mo>〉</mo></mrow></math></span> dislocations. Each slip system is characterized by distinct Wigner-Seitz cell configurations for misfit energy calculations, varying partial dislocation separation distances, and unique dislocation trajectories—all critical to precise CRSS calculations. The theoretical CRSS results were validated against a comprehensive range of experimental data, demonstrating a strong agreement and underscoring the model's efficacy.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"184 ","pages":"Article 104187"},"PeriodicalIF":9.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142718502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Simultaneously enhanced strength and ductility of W-Cu bimetallic composites assisted by continuous cellular dislocation structure","authors":"Peng-Cheng Cai, Guo-Hua Zhang, Kuo-Chih Chou","doi":"10.1016/j.ijplas.2024.104188","DOIUrl":"10.1016/j.ijplas.2024.104188","url":null,"abstract":"<div><div>W-Cu bimetallic composites are commonly employed in a wide range of critical fields due to their exceptional comprehensive performance. However, the weak interfacial bonding between two distinctive phases results in challenges such as easy deformation, poor mechanical performance, and short lifespan. In present work, by adopting thermo-mechanical processing (TMP) treatment, the W and Cu phases, connected by the nano-diffusion layer, underwent a cooperative deformation process. Meanwhile, the pre-existing nanoclusters anchored the accumulated dislocations during TMP, forming a unique continuous cellular dislocation structure (CC-D) with the nanoscale size of approximately 40 nm during the subsequent recovery annealing process. The CC-D dominated plastic deformation mechanism dynamically refined the grains by forming a multiscale network of stacking faults and deformation twins (SFs-DTs). Moreover, the slip transfer and twinning originating from the W/Cu interface were stimulated to alleviate interfacial stress accumulation. Thus, the ensuing strengthening and strain-hardening mechanisms maintained stable tensile flow, resulting in an exceptional strength-ductility combination (965 MPa, 14.8 %). Moreover, the high density of twins within the Cu grains, with numerous coherent twin boundaries, reduced electron scattering and maintained a considerable electrical conductivity (30 %IACS) for the bimetallic composites.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"184 ","pages":"Article 104188"},"PeriodicalIF":9.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142735517","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}
Jian Tao , Zhi-Jie Wen , Yu-Jun Zuo , Chen Wang , Jun Wang , Xing-Guo Yang
{"title":"A fully coupled rate- and temperature-dependent viscoplastic damage model for rock-like materials within the consistency framework","authors":"Jian Tao , Zhi-Jie Wen , Yu-Jun Zuo , Chen Wang , Jun Wang , Xing-Guo Yang","doi":"10.1016/j.ijplas.2024.104211","DOIUrl":"10.1016/j.ijplas.2024.104211","url":null,"abstract":"<div><div>Civil structures in the deep lithosphere are frequently exposed to thermal environments resulting from geothermal gradients and dynamic disturbances caused by blasting, rockbursts, and earthquakes during construction and operation. In this paper, a novel thermo-viscoplastic damage model is proposed within the consistency framework to capture the rate- and temperature-dependent behavior of rock-like materials. By rationally designing the free energy and dissipation potential functions, all the constitutive formulations relating the coupled thermo-elasto-viscoplastic-damage processes can be derived following the thermodynamic principle. The main innovation of our study lies primarily in deriving a fully coupled Lagrange multiplier satisfying the classical form of rate-independent plasticity while still retaining the rate-dependent characteristics, thus enabling a consistent solution for the viscoplastic strain, temperature, and damage variables. To better improve the usability of our model, a hierarchical procedure is formulated for identifying all model parameters based on conventional laboratory experiments. By reproducing a series of uniaxial/triaxial compression, SHPB tests, and large-scale impact tests across a broad range of pressures, strain rates, and temperatures, the proposed consistency thermo-viscoplastic damage model is proven able to characterize realistically the coupled dynamic and thermal responses, as well as corresponding failure patterns of rock-like materials. Our calculations show that greater thermal damage intensifies the strain rate sensitivity of dynamic rock strength. Moreover, we have newly discovered the competitive relations among different dissipation processes during inelastic material deformation, highlighting the potential application of our model in predicting the temperature evolution in geological fault zones associated with distributed rock fracturing and pulverization.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"184 ","pages":"Article 104211"},"PeriodicalIF":9.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142816015","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}
Yuhao Jia , Qingfeng Wu , Feng He , Zhongsheng Yang , Linxiang Liu , Xin Liu , Xiaoyu Bai , Bojing Guo , Hyoung Seop Kim , Junjie Li , Jincheng Wang , Zhijun Wang
{"title":"Promoting strength–ductility synergy by mitigating heterogeneity in precipitation-strengthened FCC/B2 dual-phase high-entropy alloy","authors":"Yuhao Jia , Qingfeng Wu , Feng He , Zhongsheng Yang , Linxiang Liu , Xin Liu , Xiaoyu Bai , Bojing Guo , Hyoung Seop Kim , Junjie Li , Jincheng Wang , Zhijun Wang","doi":"10.1016/j.ijplas.2024.104213","DOIUrl":"10.1016/j.ijplas.2024.104213","url":null,"abstract":"<div><div>This study introduces a novel heterogeneity-mitigating strategy to enhance the strength-ductility synergy in precipitation-strengthened FCC/B2 dual-phase high-entropy alloys (DP-HEAs), addressing the challenge of strain localization and interfacial cracking between phases. While traditional FCC/B2 DP-HEAs benefit from heterogeneous deformation-induced effects, increased strength in precipitation-strengthened FCC/B2 DP-HEAs often leads to premature failure due to strain localization. Traditional approaches, such as microstructure refinement and morphological regulation, often fall short, especially in alloys with significant phase volume fraction differences and precipitation. By employing precise microstructural regulation, the heterogeneity-mitigating strategy achieves a twofold increase in ductility and a significant enhancement in strength. The micro-digital image correlation technique elucidates the role of dual-phase heterogeneity in interfacial strain partitioning, while nanoindentation and simulations reveal the intrinsic link between reduced heterogeneity and improved deformation compatibility. This approach overcomes the limitations of existing methods, offering a new pathway for the synergistic enhancement of strength and ductility in precipitation-strengthened FCC/B2 DP-HEAs with differing phase properties and volume fractions.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"184 ","pages":"Article 104213"},"PeriodicalIF":9.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142823101","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}
Jiachen Xu , Xinbao Zhao , Jishan Chen , Pengfei Wang , Hao Liu , Wanshun Xia , Quanzhao Yue , Yuefeng Gu , Ze Zhang
{"title":"Temperature-dependent microscopic deformation mechanisms and performance enhancement prospects in high-cycle fatigue of nickel-based single crystal superalloys","authors":"Jiachen Xu , Xinbao Zhao , Jishan Chen , Pengfei Wang , Hao Liu , Wanshun Xia , Quanzhao Yue , Yuefeng Gu , Ze Zhang","doi":"10.1016/j.ijplas.2024.104207","DOIUrl":"10.1016/j.ijplas.2024.104207","url":null,"abstract":"<div><div>Given the limited systematic analysis of microstructural deformation mechanisms in high-cycle fatigue, this study investigates the high-cycle fatigue failure of a fourth-generation nickel-based single crystal superalloy across temperatures of 700 °C, 850 °C, and 980 °C. The results indicate that the alloy exhibits optimal performance at 980 °C, followed by 700 °C and then 850 °C. At 700 °C, stacking fault locks and Lomer-Cottrell dislocations were identified, whereas, at 850 °C, elongated stacking fault shearing and typical cross-slip were observed. Notably, at 980 °C, intense dislocation activity was detected, including Kear-Wilsdorf locks, dislocation pile-up, and entanglement. The observed changes in microstructural mechanisms with increasing temperature are attributed to elevated stacking fault energy and critical shear stress, alongside reduced critical stress for various dislocation movements. Furthermore, the types of Lomer-Cottrell dislocation and Kear-Wilsdorf lock were accurately identified. In conclusion, the dominant micro-deformation mechanisms—stacking fault locks, Lomer-Cottrell dislocations, and dislocation hardening behaviors such as Kear-Wilsdorf locks—significantly enhance high-cycle fatigue performance. This research addresses the scarcity of studies on microscopic deformation mechanisms in single crystal high-cycle fatigue and provides valuable insights for optimizing the high-cycle fatigue performance of nickel-based superalloys.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"184 ","pages":"Article 104207"},"PeriodicalIF":9.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142793231","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}
Jiangzhou Mei , Gang Ma , Wanda Cao , Ting Wu , Wei Zhou
{"title":"Graph neural network unveils the spatiotemporal evolution of structural defects in sheared granular materials","authors":"Jiangzhou Mei , Gang Ma , Wanda Cao , Ting Wu , Wei Zhou","doi":"10.1016/j.ijplas.2024.104218","DOIUrl":"10.1016/j.ijplas.2024.104218","url":null,"abstract":"<div><div>The disordered nature of granular materials poses great difficulty to the accurate characterization of microscopic structures. Despite numerous handcrafted structural indicators, the relationship between particle-scale structure and dynamics, as well as the structural origins of complex constitutive behaviors, remain subjects of debate. In this paper, we utilize a Graph Convolutional Neural Network (GCNN) to establish the structure-property relationship within granular materials. The GCNN model effectively identifies active particles exhibiting intense nonaffine activities based solely on initial particle positions, without relying on handcrafted features. Additionally, we derive a structural indicator called susceptibility from the GCNN output, which quantifies the fragility of local structures to external stimuli and enables the characterization of structural evolution during the shearing process. We demonstrate that structural defects with high susceptibility tend to form spatial clusters, and the distinct failure modes in dense and loose granular assemblies are driven by the differing spatiotemporal evolution of these defect clusters. Our findings suggest that the structural origin of macroscopic yielding in dense granular materials lies in the formation of system-spanning defect clusters, which facilitates the percolation of high-mobility zones and the development of shear bands. Finally, our study indicates that graph-based neural networks are well-suited for modeling and predicting the complex behaviors of granular materials, providing a powerful approach to uncovering underlying mechanisms and deepening our understanding of these materials.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"184 ","pages":"Article 104218"},"PeriodicalIF":9.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142857914","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}
Meng-Chong Ren , Yu-Fei Nie , Han-Qing Wang , Yue Yuan , Fan Feng , You-Yun Lian , Hao Yin , Long Cheng , Duo-Qi Shi , Guang-Hong Lu
{"title":"Role of thermal stress-driven dislocation and low-angle grain boundary migration in surface plastic deformation and grain orientation evolution of tungsten under thermal shock","authors":"Meng-Chong Ren , Yu-Fei Nie , Han-Qing Wang , Yue Yuan , Fan Feng , You-Yun Lian , Hao Yin , Long Cheng , Duo-Qi Shi , Guang-Hong Lu","doi":"10.1016/j.ijplas.2024.104205","DOIUrl":"10.1016/j.ijplas.2024.104205","url":null,"abstract":"<div><div>This study reveals that thermal fatigue loading (transient thermal shock), similar to that in fusion environments, can serve as a surface processing technique for BCC metals. Regions with a {110} grain orientation can be selectively achieved in varying sizes and locations on the sample surface. Furthermore, our experiments confirm that the specific localized orientation transformation obtained through this method exhibits certain high-temperature stability at 1573 K (above the recrystallization temperature of tungsten). The experiment employed a 0.25 GW/m² high-energy pulsed electron beam for 1 ms to cyclically load the tungsten surface, simulating edge localized mode events in fusion conditions. It was found that tungsten exhibited significant surface grain orientation transformation (distinct {110} grain orientation) under low strain (∼ 1 %) after transient thermal shocks, a phenomenon rarely mentioned in studies of thermal shock on fusion reactor divertor materials. Microstructure characterization results suggest that this localized orientation transformation, induced by minor surface damage, primarily results from the generation, movement, and evolution of dislocations into subgrain and low-angle grain boundaries. The cyclic accumulation of the migration of kink-like subgrain/low-angle grain boundaries under transient thermal stress at high temperatures drives this process. Subsequently, crystal plasticity finite element method simulations based on dislocation slip were conducted to study the surface grain orientation transformation of tungsten under compressive thermal stress. This predictive capability provides valuable guidance for understanding the service conditions of fusion reactor divertor materials. Furthermore, we propose that cyclic transient thermal shocks can serve as an effective surface processing technique for metals, enabling the formation of specific localized grain orientations.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"184 ","pages":"Article 104205"},"PeriodicalIF":9.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142793228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Wenbin Zhang , Miao Jin , Shuo Hao , Mingshuai Huo , Zhenyi Huang , Lei Chen , Wenzhen Xia
{"title":"The interfacial damage of the deformation heterogeneity in the transformation-induced plasticity (TRIP)-assisted duplex stainless steel","authors":"Wenbin Zhang , Miao Jin , Shuo Hao , Mingshuai Huo , Zhenyi Huang , Lei Chen , Wenzhen Xia","doi":"10.1016/j.ijplas.2024.104209","DOIUrl":"10.1016/j.ijplas.2024.104209","url":null,"abstract":"<div><div>The characteristic of differences in material properties between phases gives rise to significant deformation heterogeneity in dual-phase or multi-phase materials, consequently resulting in complex damage laws. In this study, the microcracks characteristics of transformation-induced plasticity (TRIP)-assisted duplex stainless steel were observed after large deformation (engineering strain up to 55%). It has been determined that microcracks invariably occur at interface locations, including the phase boundary between original austenite and ferrite, the grain boundary of original austenite, and the grain boundary of ferrite. The deformation heterogeneity of various types of interfaces is analyzed by using crystal plasticity finite element method (CPFEM). Deformation degree coordination parameter <span><math><msub><mi>k</mi><mi>l</mi></msub></math></span> and slip transfer parameter <span><math><msub><mi>k</mi><mrow><mi>t</mi><mi>f</mi></mrow></msub></math></span> are established, based on the velocity gradient tensor <span><math><msub><mi>L</mi><mi>p</mi></msub></math></span> and the slipping rate <span><math><mover><mi>γ</mi><mi>˙</mi></mover></math></span> of activated slip system in CPFEM, to analyze the multi-slip heterogeneous deformation behavior of grains on both sides of the interface. A novel interfacial damage model considering the slip transfer parameter <span><math><msub><mi>k</mi><mrow><mi>t</mi><mi>f</mi></mrow></msub></math></span> is established, which reveals the correlation between deformation heterogeneity and damage mechanism, to provide a criterion for various types of interfacial failure behaviors. The interfacial damage model based on deformation heterogeneity can stand as an invaluable instrument for exploring the damage behaviors of two-phase or multi-phase materials.</div></div>","PeriodicalId":340,"journal":{"name":"International Journal of Plasticity","volume":"184 ","pages":"Article 104209"},"PeriodicalIF":9.4,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142809424","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}