Journal of The Mechanics and Physics of Solids最新文献

{"title":"Nonlinearity tunes crack dynamics in soft materials","authors":"Fucheng Tian ,&nbsp;Jian Ping Gong","doi":"10.1016/j.jmps.2025.106191","DOIUrl":"10.1016/j.jmps.2025.106191","url":null,"abstract":"<div><div>Cracks in soft materials exhibit diverse dynamic patterns, involving straight, oscillation, branching, and supershear fracture. Here, we successfully reproduce these crack morphologies in a two-dimensional pre-strained fracture scenario and establish crack stability phase diagrams for three distinct nonlinear materials using a fracture phase field model. The contrasting phase diagrams highlight the crucial role of nonlinearity in regulating crack dynamics. In strain-softening materials, crack branching prevails, limiting the cracks to sub-Rayleigh states. Yet strain-stiffening stabilizes crack propagation, allowing for the presence of supershear fracture. The intriguing crack oscillations are verified to be a universal instability closely tied to the local wave speed, as manifested by its onset speed scaling linearly with the characteristic shear wave speed. The wavelength of such instability is shown to be a bilinear function of the nonlinear scale and crack driving force, with a minimum length scale associated with the dissipative zone. Moreover, our findings suggest that the increase in local wave speed near the crack tip can account for the transition of cracks from sub-Rayleigh to supershear regimes in homogeneous materials.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"202 ","pages":"Article 106191"},"PeriodicalIF":5.0,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144089429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Finite element modeling of porous ductile solids with non-uniform void size distributions","authors":"Lars Edvard Blystad Dæhli,&nbsp;David Morin,&nbsp;Odd Sture Hopperstad","doi":"10.1016/j.jmps.2025.106177","DOIUrl":"10.1016/j.jmps.2025.106177","url":null,"abstract":"<div><div>In this study, we use micromechanics-based modeling to investigate the effect of a non-uniform void size distribution on the plastic flow and fracture behavior of porous ductile solids. We perform 2D plane strain finite element simulations of statistical volume elements containing between 3 × 3 and 22 × 22 uniformly-spaced voids of varying sizes, using two different modeling approaches: (i) resolving the voids spatially and (ii) using a porous plasticity model and spatially varying the initial porosity. For each sample size, thirty statistical volume elements are generated through random sampling from a log-normal void size distribution to quantify the variation for a given number of voids. The macroscopic behavior and microstructural evolution are analyzed under different imposed stress states. Our findings indicate that non-uniform void sizes have negligible effects on initial yielding and behavior before peak stress, but the strain at which maximum stress is attained varies. Beyond peak stress, there is a significant variation in the macroscopic stress–strain response and void growth between the statistical volume elements. Mean failure strain decreases and scatter diminishes as sample size increases, but even large samples retain scatter in failure strain. We achieve tremendous speed-up using models with porous plasticity while producing results comparable to models with spatially resolved voids. This suggests that a cost-effective modeling approach, where the voided subregions of the model are described using a porous plasticity model and spatially varying initial porosity, facilitates simulations of 3D volume elements with a statistically representative number of voids.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"202 ","pages":"Article 106177"},"PeriodicalIF":5.0,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A thermal-mechanical coupling-inspired inelastic constitutive law for the growth and atrophy of biological soft tissues","authors":"Jike Han ,&nbsp;Yuka Yokoyama ,&nbsp;Taiji Adachi ,&nbsp;Shinji Nishiwaki","doi":"10.1016/j.jmps.2025.106159","DOIUrl":"10.1016/j.jmps.2025.106159","url":null,"abstract":"<div><div>This study proposes a thermal-mechanical coupling-inspired inelastic constitutive law for the growth and atrophy (for the increase and decrease of volume and mass) of biological soft tissues. The thermal-mechanical coupling-inspired formulation realizes the multiphysics modeling between the mechanical field and a scalar field, say the nutrition field, that represents the transportations of the nutrition source inside of the body and the nutrition flux on the surface. Accordingly, biological soft tissues can exhibit growth and atrophy without any displacement or force loadings, which is analogous to thermal strain. On the other hand, the inelastic constitutive modeling decomposes the deformation gradient tensor into the elastic and growth components, and the evolution laws for the growth and atrophy are derived as the stationary conditions from the dissipation optimization problem, whose mathematical manipulation is the same as the standard elastoplastic material modeling. Thanks to the proposed formulation, several characteristic material responses that are seen in natural organisms are imitated. In particular, it is successfully realized that the growth and atrophy of biological soft tissues are not exclusively determined by the value of the mean stress, and can occur even under a constant compression/tension state. Also, when biological soft tissues are subjected to repeated growth and atrophy, the cellular aging-like material response occurs due to the accumulation of hardening variables, by which biological soft tissues become insensitive to external factors that encourage growth and atrophy. Two single-element level numerical examples are presented to demonstrate the basic material responses of the proposed formulation, and two structural numerical examples are prepared to show a few characteristic growth and atrophy trends that are determined by both states of the mechanical and nutrition fields.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"202 ","pages":"Article 106159"},"PeriodicalIF":5.0,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144072698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dynamic interplay of dendrite growth and cracking in lithium metal solid-state batteries","authors":"Dingchuan Xue ,&nbsp;Cole Fincher ,&nbsp;Ruyue Fang ,&nbsp;Brian W. Sheldon ,&nbsp;Long-Qing Chen ,&nbsp;Sulin Zhang","doi":"10.1016/j.jmps.2025.106197","DOIUrl":"10.1016/j.jmps.2025.106197","url":null,"abstract":"<div><div>All-solid-state batteries (ASSBs) represent a significant leap forward compared to conventional liquid-electrolyte based batteries, offering enhanced energy density, improved safety, extended cycle longevity, and reduced environmental footprint. However, the persistent challenge of uncontrollable dendrite growth within solid electrolytes (SEs) has posed substantial obstacles to the realization of Li metal ASSBs. This study develops a phase field model to unveil a dynamic interplay between Li dendrite growth and crack propagation in the polycrystalline Li₇La₃Zr₂O₁₂ (LLZO) solid electrolyte. Our modeling highlights distinct nucleation sites for Li electrodeposition, localized in proximity to the electrode/SE interface, a phenomenon sensitive to cell geometry. Li deposition initiates local stress accumulation that wedges the SE to cracking, and fracture induced stress relaxation facilitates further Li electrodeposition. Remarkably, a reciprocal relationship emerges between Li dendrite growth and crack propagation, each process reinforcing the other in an alternating manner. The dynamic interplay unveils a characteristic “wait-and-go” temporal sequence, where the progression of Li dendrites consistently trails behind the crack tip, aligning with the previous experimental observations. Drawing from the reciprocal dynamics, we identify practical stress-engineering strategies to mitigate catastrophic cell failure by simultaneously retarding Li dendrite growth and redirecting the crack propagation paths. Our findings offer electrochemo-mechanical insights in cell design and stress management, thereby opening a unique pathway towards the realization of safe and durable Li metal ASSBs.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"202 ","pages":"Article 106197"},"PeriodicalIF":5.0,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144137696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Dynamic response of clamped all-metallic corrugated core sandwich cylindrical shell under localized lateral shock loading","authors":"Zengshen Yue ,&nbsp;Zhaoshuai Fan ,&nbsp;Chunhao Ma ,&nbsp;Xiong Wei ,&nbsp;Wei Li ,&nbsp;Xin Wang ,&nbsp;Qiancheng Zhang ,&nbsp;Ruirui Chen ,&nbsp;Tian Jian Lu","doi":"10.1016/j.jmps.2025.106190","DOIUrl":"10.1016/j.jmps.2025.106190","url":null,"abstract":"<div><div>While cylindrical shells having corrugated or honeycomb sandwich walls exhibit attractive properties such as high stiffness/strength at low density and enhanced energy absorption, existing studies focused primarily on axial loading conditions. In reality, however, such sandwich cylindrical shells frequently face the threat of lateral impacts like in the case of high-speed railways and tube/pipeline systems. To explore the dynamic response of a fully-clamped sandwich cylindrical shell under lateral shock loading, a combined experimental and numerical study is carried out. Specimens of aluminum (Al) corrugated core sandwich cylindrical shells as well as thin-walled Al cylindrical shells are fabricated using the method of extrusion. Impact tests on these specimens are conducted using closed-cell Al foam projectiles launched via a light-gas gun. For each specimen, dynamic structural evolution, final deformation mode, and quantitative deflection are comprehensively measured and analyzed. Subsequently, a finite element (FE) model is established to simulate the lateral impact test, with good agreement against experimental measurements achieved. The validated FE model is then employed to quantify the effect of the number of corrugations in the core and explore energy absorption characteristics of individual components in the sandwich shell. In comparison with a thin-walled cylindrical shell of equal mass, the corrugated core sandwich cylindrical shell exhibits elevated lateral shock resistance (particularly so in the case of outer surface mid-point deflection on the impact side and inner diameter crushing), due mainly to energy absorption via core compression. However, within the studied range of impact momentum, the sandwich shell experiences consistently more significant bulging on the rear side than its thin-walled counterpart. A circumferential stress distribution map is constructed to reveal that the introduction of a corrugated core interrupts the continuous transmission path of circumferential stress along the shell’s circumferential direction. As a result, the contribution of circumferential membrane force to rear-side deformation is reduced while the influence of bending moment becomes dominant, leading to more significant bulging deformation on the rear side of the sandwich shell.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"202 ","pages":"Article 106190"},"PeriodicalIF":5.0,"publicationDate":"2025-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144170723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Shear-lag model of laminated films with alternating stiff and soft layers wrinkling on soft substrates","authors":"Zheliang Wang ,&nbsp;Xinyi Lin ,&nbsp;Jia Liu ,&nbsp;Nanshu Lu","doi":"10.1016/j.jmps.2025.106172","DOIUrl":"10.1016/j.jmps.2025.106172","url":null,"abstract":"<div><div>Multilayer laminated films, consisting of alternating stiff and soft layers, are widely used in flexible electronics and photonics. The extreme modulus mismatch between these layers can induce shear-lag effects, leading to mechanical behavior distinct from conventional Euler–Bernoulli beam theory. Compared to three-point bending, wrinkling on a soft substrate is an easier-to-implement approach for probing the elasticity of ultrathin films. In this work, we introduce a wrinkle-based metrology for directly measuring the equivalent flexural rigidity of laminated beams with shear-lag. An analytical framework is developed, demonstrating good agreement with experimental results. We systematically investigate the effects of the number of layers and layer properties within the film, and substrate modulus. Additionally, we propose a criterion to determine when the wrinkle-based metrology is more suitable than the traditional three-point bending test.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"202 ","pages":"Article 106172"},"PeriodicalIF":5.0,"publicationDate":"2025-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144099456","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Pore defects’ influence on the local, near threshold fatigue crack growth behavior of additively manufactured Ti-6Al-4V","authors":"Luca Loiodice,&nbsp;Krzysztof S. Stopka,&nbsp;Michael D. Sangid","doi":"10.1016/j.jmps.2025.106173","DOIUrl":"10.1016/j.jmps.2025.106173","url":null,"abstract":"<div><div>Pore defects can exist in additively manufactured (AM) components, even with optimized process parameters and post processing techniques. Lack of fusion (LOF) defects can be detrimental to fatigue, and understanding their influence on near threshold behavior is necessary for the damage tolerant design of aerospace components. This work presents a modeling framework to predict an indicator for the near threshold, local growth of a crack in the vicinity of a pore in AM materials. Three statistically equivalent virtual microstructure (SEVM) models were generated based on the crystallographic orientation and morphology of <span><math><mi>α</mi></math></span> laths, given the prior <span><math><mi>β</mi></math></span> grain structures of AM Ti-6Al-4V. Each SEVM was simulated with a small semicircular crack, constituting the baseline case, as well as with five experimentally characterized LOF defects positioned at variable distances from the small crack. Cyclic crystal plasticity simulations were performed with several applied stress intensity factors, and a methodology based on the accumulated plastic strain energy density, <span><math><msup><mrow><mi>w</mi></mrow><mrow><mi>P</mi></mrow></msup></math></span>, was developed to postulate crack growth rates from these static simulations. Multiple simulations lead to the construction of crack growth rate curves, from which a threshold stress intensity factor, <span><math><mrow><mi>Δ</mi><msub><mrow><mi>K</mi></mrow><mrow><mi>t</mi><mi>h</mi></mrow></msub></mrow></math></span>, can be defined. The findings demonstrated that LOF morphology and crack-pore distance are the most influencing factors resulting in a decreased value of <span><math><mrow><mi>Δ</mi><msub><mrow><mi>K</mi></mrow><mrow><mi>t</mi><mi>h</mi></mrow></msub></mrow></math></span>, while crack shielding and crack blunting can increase the <span><math><mrow><mi>Δ</mi><msub><mrow><mi>K</mi></mrow><mrow><mi>t</mi><mi>h</mi></mrow></msub></mrow></math></span> value. This modeling approach and near threshold crack behavior can provide important quantification of pore influence on fatigue crack growth rates of AM Ti-6Al-4V, which can support material qualification efforts.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"202 ","pages":"Article 106173"},"PeriodicalIF":5.0,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144069249","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A variational approach to the modeling of compressible magnetoelastic materials","authors":"Barbora Benešová ,&nbsp;Šárka Nečasová ,&nbsp;Jan Scherz ,&nbsp;Anja Schlömerkemper","doi":"10.1016/j.jmps.2025.106169","DOIUrl":"10.1016/j.jmps.2025.106169","url":null,"abstract":"<div><div>We analyze a model of the evolution of a (solid) magnetoelastic material. More specifically, the model we consider describes the evolution of a compressible magnetoelastic material with a non-convex energy and coupled to a gradient flow equation for the magnetization in the quasi-static setting. The viscous dissipation considered in this model induces an extended material derivative in the magnetic force balance. We prove existence of weak solutions based on De Giorgi’s minimizing movements scheme, which allows us to deal with the non-convex energy as well as the non-convex state space for the deformation. In the application of this method we rely on the fact that the magnetic force balance in the model can be expressed in terms of the same energy and dissipation potentials as the equation of motion, allowing us to model the functional for the discrete minimization problem based on these potentials.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"201 ","pages":"Article 106169"},"PeriodicalIF":5.0,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144069342","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Strain hardening effect on ductile tearing under small scale yielding plane strain conditions","authors":"Antonio Kaniadakis ,&nbsp;Van-Dung Nguyen ,&nbsp;Jacques Besson ,&nbsp;Thomas Pardoen","doi":"10.1016/j.jmps.2025.106171","DOIUrl":"10.1016/j.jmps.2025.106171","url":null,"abstract":"&lt;div&gt;&lt;div&gt;The effect of strain-hardening on ductile crack growth is explored based on a small scale yielding finite element approach using an advanced nonlocal Gurson model. A focus is put on considering high strain hardening exponent &lt;span&gt;&lt;math&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; up to 0.5, while classical literature is often limited to &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, in order to encompass materials like stainless steels as well as several modern TRIP-TWIP alloys and high entropy alloys. First, &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;J&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; plasticity-based simulations are performed to set the static crack reference. These simulations provide a hint about the origin of the increase of fracture toughness with increasing &lt;span&gt;&lt;math&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;, connected to much smaller finite strain zones at a given loading level quantified by the value of the &lt;span&gt;&lt;math&gt;&lt;mi&gt;J&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; integral. In addition, it is found that above &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mo&gt;∼&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, the opening stress does not attain a maximum value at a distance equal to one to two crack openings but keeps increasing towards the surface of the blunted crack tip. Then, Gurson-based simulations are used to determine the &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;J&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; curve for different &lt;span&gt;&lt;math&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; and initial porosity, and associated quantities related to crack initiation such as &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;J&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;I&lt;/mi&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;, critical crack tip opening displacement &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;δ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;, and fracture process zone length. As already found in earlier studies, both &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;J&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;I&lt;/mi&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; and &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;δ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt; increase with increasing &lt;span&gt;&lt;math&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;, although the effect is much more marked on &lt;span&gt;&lt;math&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;J&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;I&lt;/mi&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;/math&gt;&lt;/span&gt;. The origin of this first-order effect is unraveled by looking at the stress triaxiality, damage, and plastic strain fields. Even though the near crack tip stress triaxiality increases with &lt;span&gt;&lt;math&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;, the associated lower plastic strain at a fixed distance to the crack front leads to much lower void growth rates and delays void coalescence. As a important side result, the simulations appear very sensitive to an accurate fine-tuning of the adjustment factors entering the Gurson model at high strain hardening, pointing towards the intrinsic limitations of the model when &lt;span&gt;&lt;math&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; is large. This study confirms the interest in developing alloys with large strain hardenin","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"202 ","pages":"Article 106171"},"PeriodicalIF":5.0,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144083643","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A homogenization-based magneto-viscoelastic constitutive model for soft magnetorheological elastomers","authors":"Jialin Wang ,&nbsp;Ben Wang ,&nbsp;Zaoyang Guo ,&nbsp;Yang Chen","doi":"10.1016/j.jmps.2025.106162","DOIUrl":"10.1016/j.jmps.2025.106162","url":null,"abstract":"<div><div>Soft magnetorheological elastomers (s-MREs) are a kind of smart composites composed of a mechanically soft viscoelastic matrix filled with soft magnetic particles. This work provides a standard two-potential framework for the constitutive model of s-MREs incorporating viscous dissipative mechanism, which rigorously adheres to the physical constrains imposed by even magneto-mechanical coupling, material frame indifference, material symmetry requirement and the second law of thermodynamics. Moreover, a numerical homogenization framework is developed to compute the macroscopic homogenized response of s-MREs. Based on the numerical homogenization results, an explicit free energy function and a dissipative potential that rely on the properties of the underlying microstructure are constructed. Only a small number of model parameters are calibrated by means of the numerically average magnetostriction responses under purely magnetic loading. The validity of the developed model is assessed by comparing the model predictions to the numerical homogenization results, under various matrix material parameters, magnetic loading rates and magneto-mechanical loading paths. The results demonstrate that the proposed model exhibits good agreement with the numerical homogenization results in all cases considered. Finally, the model is employed to solve for the magnetostriction of s-MRE specimens in the air medium. It is found that the simulation results are in excellent agreement with the experimental data reported in the literature. In addition, our research reveals that the proposed model provides a more profound insight into the underlying physical mechanisms behind the magnetostrictive behaviors of the s-MREs.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"201 ","pages":"Article 106162"},"PeriodicalIF":5.0,"publicationDate":"2025-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143923087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}