Journal of The Mechanics and Physics of Solids最新文献

{"title":"A unified temporal-spatial scaling law for hydraulic fracturing in layered rock formations","authors":"Quan Wang ,&nbsp;Hao Yu ,&nbsp;Egor Dontsov ,&nbsp;YiLun Zhong ,&nbsp;XiuYuan Chen ,&nbsp;HengAn Wu","doi":"10.1016/j.jmps.2025.106367","DOIUrl":"10.1016/j.jmps.2025.106367","url":null,"abstract":"<div><div>This work presents a unified scaling law for a plane strain hydraulic fracture propagation in layered rocks, where fracturing behavior is influenced by both layer thickness and property contrasts across interfaces, leading to non-self-similar propagation over time. The singular integral balance equation is derived by introducing a kernel function that accounts for the varying elastic modulus and a modified load term that incorporates in-situ stress. The layered distribution of elastic modulus and fracture energy is considered using dynamic tip asymptotics. The governing equations and boundary conditions are then made dimensionless by new characteristic scales of fracture opening, fluid pressure, and fracture length, which are proposed to depict the spatial relationship between the interface and fracture. Solutions are obtained through a decoupled approach to match the fracture morphology and tip boundary conditions. This model captures a novel time-sensitive propagation mode of a hydraulic fracture, that can be dominated by toughness in the tip region and viscosity dissipation at the interface region, especially in multilayer rocks. Consequently, the temporal scale of injection time and the spatial scale of layer thickness are integrated into the characteristic scales. A scaling law is thus proposed to fully consider the variations of elastic modulus, fracture energy, fluid injection rate, injection time, and layer thickness on propagation behavior. The law spans the temporal-spatial parameter space within a general framework that quantifies the evolution of viscosity dissipation induced by interfaces, summarizing four specific cases: the homogeneous model, single-interface model, multi-layer model, and homogenized model. The proposed law provides a universal measure for modeling hydraulic fracturing of layered heterogeneous rocks with arbitrary thickness and propagation stage.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106367"},"PeriodicalIF":6.0,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107240","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":"Hyperelastic modeling based on generalized Landau invariants and multi-stage calibration","authors":"Jiashen Guan,&nbsp;Xin Li,&nbsp;Hongyan Yuan,&nbsp;Ju Liu","doi":"10.1016/j.jmps.2025.106338","DOIUrl":"10.1016/j.jmps.2025.106338","url":null,"abstract":"<div><div>Hyperelastic modeling has long faced two challenges, that is, the non-uniqueness of fitted parameters and limited predictive capability. In this work, we propose a new modeling framework in conjunction with a multi-stage fitting method. In the model construction, we generalize Landau invariants by introducing the generalized strains and use them as the building blocks for the model family. The models are mathematically concise yet sufficiently general, encompassing the Ogden model and the hyperelasticity of Hill’s class as special cases. A new micro-to-macro transition is proposed using the generalized strain, and the generalized Landau invariants emerge naturally from the homogenization procedure, providing a clear micromechanical interpretation. This enables the construction of a suite of models with micromechanical foundation. A key feature is the emergence of a pseudo-universal relation derived from the generalized invariants, which forms the basis of the multi-stage fitting method. It enables the separated calibration of the invariant parameters and material modulus in the fitting. The proposed strategy demonstrates strong predictive performance in that it accurately predicts biaxial mechanical responses using parameters identified from a single pure shear test. This robustness is further confirmed through a three-dimensional benchmark involving non-homogeneous strain. In addition, the multi-stage method yields mathematically sound models that maintain convex energy contours, a property correlated with predictive reliability. Several models within the proposed framework also demonstrate competitive fitting and prediction accuracy compared to state-of-the-art models using the same number of parameters. This work establishes a new paradigm for constitutive modeling by unifying theoretical development with a robust calibration methodology. The proposed approach promotes the practical applicability of hyperelastic models and offers a promising foundation for modeling more complex material behaviors.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106338"},"PeriodicalIF":6.0,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107355","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 generalized dual potential for inelastic Constitutive Artificial Neural Networks: A JAX implementation at finite strains","authors":"Hagen Holthusen ,&nbsp;Kevin Linka ,&nbsp;Ellen Kuhl ,&nbsp;Tim Brepols","doi":"10.1016/j.jmps.2025.106337","DOIUrl":"10.1016/j.jmps.2025.106337","url":null,"abstract":"<div><div>We present a methodology for designing a generalized dual potential, or pseudo potential, for inelastic Constitutive Artificial Neural Networks (iCANNs). This potential, expressed in terms of stress invariants, inherently satisfies thermodynamic consistency for large deformations. In comparison to our previous work, the new potential captures a broader spectrum of material behaviors, including pressure-sensitive inelasticity. To this end, we revisit the underlying thermodynamic framework of iCANNs for finite strain inelasticity and derive conditions for constructing a convex, zero-valued, and non-negative dual potential. To embed these principles in a neural network, we detail the architecture’s design, ensuring a priori compliance with thermodynamics. To evaluate the proposed architecture, we study its performance and limitations discovering visco-elastic material behavior, though the method is not limited to visco-elasticity. In this context, we investigate different aspects in the strategy of discovering inelastic materials. Our results indicate that the novel architecture robustly discovers interpretable models and parameters, while autonomously revealing the degree of inelasticity. The iCANN framework, implemented in <span>JAX</span>, is publicly accessible at <span><span>https://doi.org/10.5281/zenodo.14894687</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106337"},"PeriodicalIF":6.0,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107356","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":"Harmonizing continuum and discrete theories for monatomic graphene: Uncertainties and challenges","authors":"Jian Wei Yan ,&nbsp;Ling Hui He ,&nbsp;C.W. Lim ,&nbsp;Wei Zhang","doi":"10.1016/j.jmps.2025.106361","DOIUrl":"10.1016/j.jmps.2025.106361","url":null,"abstract":"<div><div>Any nanomaterials with periodic, discrete structure exhibit scale effects, thus a common belief is that direct application of classical continuum theories is skeptical. Many studies reveal that there is significant difference between the classical continuum model and discrete model and thus a variety of modified continuum models have been proposed. Is it really impossible to harmonize the classical continuum and discrete theories? Here we show that there exist two distinct aspects for the concept of material thickness: intrinsic thickness and structural thickness, which correspond to the occupied space by physical particles and non-particle physical effect such as long-range force. For a suspended stacked-layer graphene, the most representative nanomaterial, the structural thickness produced by long-range force becomes a quantity that has a similar order with intrinsic thickness in terms of physical effects. While for monolayer graphene, the structural thickness does not exist because any long-range force vanishes. This discontinuity from mono- to multi-layer graphene leads to a highly controversial issue of applicability for the classical continuum theories. We thus reexamine the feasibility with respect to monolayer graphene and carbon nanotube, and devote to harmonize a missing bridge between the classical continuum mechanics and discrete mechanics models.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106361"},"PeriodicalIF":6.0,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107358","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 multi-physics model for dislocation driven spontaneous grain nucleation and microstructure evolution in polycrystals","authors":"I.T. Tandogan ,&nbsp;M. Budnitzki ,&nbsp;S. Sandfeld","doi":"10.1016/j.jmps.2025.106325","DOIUrl":"10.1016/j.jmps.2025.106325","url":null,"abstract":"<div><div>The granular microstructure of metals evolves significantly during thermomechanical processing through viscoplastic deformation and recrystallization. Microstructural features such as grain boundaries, subgrains, localized deformation bands, and non-uniform dislocation distributions critically influence grain nucleation and growth during recrystallization. Traditionally, modeling this coupled evolution involves separate, specialized frameworks for mechanical deformation and microstructural kinetics, typically used in a staggered manner. Nucleation is often introduced ad hoc, with nuclei seeded at predefined sites based on criteria like critical dislocation density, stress, or strain. This is a consequence of the inherent limitations of the staggered approach, where newly formed grain boundaries or grains have to be incorporated with additional processing.</div><div>In this work, we propose a unified, thermodynamically consistent field theory that enables spontaneous nucleation driven by stored dislocations at grain boundaries. The model integrates Cosserat crystal plasticity with the Henry–Mellenthin–Plapp orientation phase field approach, allowing the simulation of key microstructural defects, as well as curvature- and stored energy-driven grain boundary migration. The unified approach enables seamless identification of grain boundaries that emerge from deformation and nucleation. Nucleation is activated through a coupling function that links dislocation-related free energy contributions to the phase field. Dislocation recovery occurs both at newly formed nuclei and behind migrating grain boundaries.</div><div>The model’s capabilities are demonstrated using periodic bicrystal and polycrystal simulations, where mechanisms such as strain-induced boundary migration, subgrain growth, and coalescence are captured. The proposed spontaneous nucleation mechanism offers a novel addition to the capabilities of phase field models for recrystallization simulation.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106325"},"PeriodicalIF":6.0,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145047690","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":"Buckling and imperfection sensitivity of fluctuating one and two dimensional nanostructures","authors":"Xin Yan ,&nbsp;Md Sojib Kaisar ,&nbsp;Rubayet Hassan ,&nbsp;Fatemeh Ahmadpoor","doi":"10.1016/j.jmps.2025.106342","DOIUrl":"10.1016/j.jmps.2025.106342","url":null,"abstract":"<div><div>Thermal fluctuations significantly influence the mechanical behavior of low-dimensional elastic nanostructures due to their small bending stiffness. In this work, we develop a theoretical framework to investigate the buckling behavior of one- and two-dimensional flexible structures, namely, elastic rods and crystalline membranes, particularly when they experience large thermal fluctuations. Beginning with a thermally fluctuating elastic rod, we show that classical Euler buckling is recovered when geometric nonlinearities are neglected. Incorporating nonlinearities reveals substantial deviations in force–extension behavior, especially for rods with low bending stiffness. Extending the analysis to crystalline membranes, modeled through a nonlinear von Kármán elasticity of plate, we derive scaling laws for the critical buckling strain as functions of temperature, system size, and further explore their imperfection sensitivity. Our findings show that although imperfections can substantially alter the buckling threshold at zero Kelvin, their influence could be diminished at finite temperatures due to the presence of thermal fluctuations. Further, our results highlight the essential interplay between entropy-driven fluctuations and mechanical instabilities in low-dimensional systems, offering insights relevant to the design of thermally robust nanoscale materials and devices.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106342"},"PeriodicalIF":6.0,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145047687","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":"Macro- and micro-mechanical perspectives on creep-fatigue interaction in Type 316L stainless steel","authors":"Fan Wu ,&nbsp;Yang Liu ,&nbsp;Huayue Zhang ,&nbsp;Christos Skamniotis ,&nbsp;Umer Masood Chaudry ,&nbsp;Gareth Douglas ,&nbsp;Joe Kelleher ,&nbsp;Andrew Wisbey ,&nbsp;Mike Spindler ,&nbsp;Marc Chevalier ,&nbsp;Bo Chen","doi":"10.1016/j.jmps.2025.106353","DOIUrl":"10.1016/j.jmps.2025.106353","url":null,"abstract":"<div><div>Creep-fatigue of Type 316L stainless steel under asymmetric waveforms (specifically slow tension-fast compression, S-F, and fast tension-slow compression, F-S) has been understudied, despite its significant implications as demonstrated in this work. This study bridges macro- and micro-mechanical perspectives through a combined approach, involving high-temperature testing, scanning electron microscopy, X-ray computed tomography, neutron diffraction, and crystal plasticity modelling. Macro-mechanical tests revealed distinct deformation behaviours under S-F and F-S waveforms with and without a 1-hour tensile dwell at 550 °C, with S-F reducing lifespan in both fatigue and creep-fatigue conditions. Post-mortem analyses revealed distinct fracture morphologies induced by tensile dwell, with creep-fatigue S-F specimen exhibiting more pronounced intergranular-dominant fracture and higher internal defect volume. It also exhibited the highest number fraction of medium-sized (10–40 μm) microcracks, which correlates with its shortest fatigue life and more creep damage accumulation. Higher grain-level deformation incompatibility was observed during tensile dwell in the S-F load waveform. Crystal plasticity modelling revealed that the higher tensile stress amplitudes during S-F loading stem from increased dislocation density, with average densities at peak tensile strain during the saturation cycle reaching 186 μm⁻² for S-F and 147 μm⁻² for F-S waveforms. These findings establish a strong link between macroscopic and microscopic behaviours under asymmetric loading, emphasising the potential of S-F waveforms for cost-effective creep-fatigue experiment design. Furthermore, for the asymmetric waveforms studied, creep-fatigue life assessment using the ductility exhaustion method demonstrates greater accuracy than those based on the time fraction method.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106353"},"PeriodicalIF":6.0,"publicationDate":"2025-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145047689","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":"High-performance programmable combinatorial lattice materials","authors":"Jian Zhao ,&nbsp;Robert O. Ritchie ,&nbsp;Jian Xiong","doi":"10.1016/j.jmps.2025.106351","DOIUrl":"10.1016/j.jmps.2025.106351","url":null,"abstract":"<div><div>A long-standing challenge in modern materials design is overcoming inefficient and arbitrary trial-and-error approaches. To tackle this challenge, this study introduces a novel concept of “combinatorial lattices” and establishes a comprehensive performance library to enable systematic, property-driven design. Through a combination of theoretical modeling, finite element simulations, and experimental validation, this study demonstrates the effectiveness of this approach in facilitating both anisotropic design and tradeoff design across multiple mechanical properties. The resulting combinatorial lattices achieve stiffness and strength values up to 66.0 % of the Hashin–Shtrikman upper bound and 60.2 % of the Suquet bound, respectively. Notably, the combinatorial lattices exhibit relative strengths approaching—or even exceeding—the empirical upper bounds predicted by the Gibson-Ashby model. The energy absorption per unit volume surpasses that of comparable-density lattices by more than threefold, and the CFE reaches a remarkable 151 %. Beyond superior static performance, the Kelvin+BCC lattice demonstrates exceptional damage tolerance under 5 cyclic loading, retaining 99.5 % of its initial strength and 79.9 % of its initial stiffness after repeated compression at high strain levels. This work provides a programmable mechanomaterial design framework that proactively integrates geometric combinatorics with performance-driven criteria, offering a robust pathway for the development of high-performance lattice structures and advanced materials.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106351"},"PeriodicalIF":6.0,"publicationDate":"2025-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145059823","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 multiscale mechanobiological model of physiological and pathological cardiac hypertrophy","authors":"Shihao Xu ,&nbsp;Xindong Chen ,&nbsp;Xiangjun Peng ,&nbsp;Bo Li ,&nbsp;Xi-Qiao Feng","doi":"10.1016/j.jmps.2025.106349","DOIUrl":"10.1016/j.jmps.2025.106349","url":null,"abstract":"<div><div>Cardiac hypertrophy involves dynamic heart remodeling associated with mechanical and biochemical stimuli, while physiological and pathological cardiac hypertrophy can lead to distinct clinical outcomes. However, most previous models fail to distinguish these types, or properly account for cytoskeletal-extracellular matrix (ECM) remodeling effects. In this study, we develop a multiscale mechanobiological model by coupling cardiac mechanical behaviors with cardiomyocyte growth through mechanosensitive signaling pathways. This model considers tissue microstructures to characterize how cytoskeletal-ECM remodeling alters the mechanical forces sensed by cardiomyocytes. Our model can well predict experimental measurements of ventricular wall thickness and signaling activation in both physiological and pathological hypertrophy, enabling their clear differentiation. We demonstrate that exercise-induced hypertrophy attenuates pathological remodeling by alleviating myocardial mechanical stress to suppress mechanotransduction. We also elucidate the synergistic or antagonistic interaction mechanisms among factors such as hypertension, exercise, cardiomyocyte death and fibrosis in cardiomyocyte growth and pathological signaling. These results highlight the importance of myocardial microenvironment in cardiac remodeling. Furthermore, computational evaluation demonstrates that muscle LIM protein-targeted therapies have potential for treating pathological hypertrophy through mechanotransduction modulation, but excessive dosing may elevate arrhythmia risks. This study not only advances mechanistic understanding of physiological and pathological cardiac hypertrophy, but also provides a theoretical basis for developing mechanobiology-informed therapeutic techniques.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106349"},"PeriodicalIF":6.0,"publicationDate":"2025-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145047688","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":"Modeling the influence of hydrogen on Ni201 plastic behavior through integration of experimental observations and multiobjective optimization","authors":"Leonidas Zisis ,&nbsp;Krzysztof S. Stopka ,&nbsp;Mohammad Imroz Alam ,&nbsp;Zachary D. Harris ,&nbsp;Michael D. Sangid","doi":"10.1016/j.jmps.2025.106345","DOIUrl":"10.1016/j.jmps.2025.106345","url":null,"abstract":"<div><div>Hydrogen is a promising alternative to traditional fossil fuels due to its abundance, high energy density, and clean energy profile. However, hydrogen can degrade the mechanical properties of materials, hindering its widespread implementation. This work develops a crystal plasticity finite element (CPFE) model to assess the influence of hydrogen on the macroscale behavior of pure nickel, Ni201. The model is based on existing mechanisms, including hydrogen-enhanced localized plasticity (HELP) and hydrogen-enhanced strain-induced vacancies (HESIV), as well as the defactant theory, which attempts to explain these mechanisms within a thermodynamic framework. Monotonic tensile tests were performed at hydrogen concentrations of 0, 3000, 4000, and 5000 appm, from which yield strength, initial work hardening, and work hardening rate evolution were extracted to inform development of the crystal plasticity constitutive equations. The model parameters were calibrated using a state-of-the-art multiobjective UNSGA-III algorithm. Although the model assumes a uniform distribution of hydrogen and does not incorporate time-dependent processes such as ingress and diffusion, it captures the non-linear increasing trend of the three abovementioned metrics as a function of hydrogen concentration.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"206 ","pages":"Article 106345"},"PeriodicalIF":6.0,"publicationDate":"2025-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145107241","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}