Journal of The Mechanics and Physics of Solids最新文献

{"title":"Size effects in metallic polycrystals in the context of strain-integral crystal plasticity","authors":"Charles Mareau","doi":"10.1016/j.jmps.2025.106236","DOIUrl":"10.1016/j.jmps.2025.106236","url":null,"abstract":"<div><div>The development of constitutive models usually relies on the framework of strain-gradient plasticity to consider the size and gradient effects that affect the thermomechanical behavior of crystalline materials. In this work, an alternative strategy, which fits into the category of strain-integral plasticity models, is explored. The underlying idea consists of evaluating the spatial average and the spatial covariance of the plastic deformation gradient tensor. These non-local variables are treated as additional internal state variables that provide some information regarding the spatial distribution of the plastic deformation gradient tensor.</div><div>In the present paper, the method used for the evaluation of the average and the covariance of the plastic deformation gradient tensor is first detailed. Particular attention is paid to the treatment of near-boundary regions, for which different options are proposed. Then, a general strategy to include the average and the covariance of the plastic deformation gradient tensor in constitutive relations in a thermodynamically consistent manner is exposed. Finally, a crystal plasticity-based model developed within the framework of strain-integral plasticity is presented for the purpose of illustration. The numerical results obtained for different polycrystalline microstructures indicate that the hardening behavior is impacted by the mean grain size. However, such a size-dependent behavior largely depends on the method used for the treatment of near-boundary regions.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106236"},"PeriodicalIF":5.0,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144341108","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":"Mechanics informatics: A paradigm for efficiently learning constitutive models","authors":"Royal C. Ihuaenyi ,&nbsp;Wei Li ,&nbsp;Martin Z. Bazant ,&nbsp;Juner Zhu","doi":"10.1016/j.jmps.2025.106239","DOIUrl":"10.1016/j.jmps.2025.106239","url":null,"abstract":"<div><div>Efficient and accurate learning of constitutive laws is crucial for accurately predicting the mechanical behavior of materials under complex loading conditions. Accurate model calibration hinges on a delicate interplay between the information embedded in experimental data and the parameters that define our constitutive models. The information encoded in the parameters of the constitutive model must be complemented by the information in the data used for calibration. This interplay raises fundamental questions: How can we quantify the information content of test data? How much information does a single test convey? Also, how much information is required to accurately learn a constitutive model? To address these questions, we introduce <em>mechanics informatics</em>, a paradigm for efficient and accurate constitutive model learning. At its core is the <em>stress state entropy</em>, a metric for quantifying the information content of experimental data. Using this framework, we analyzed specimen geometries with varying information content for learning an anisotropic inelastic law. Specimens with limited information enabled accurate identification of a few parameters sensitive to the information in the data. Furthermore, we optimized specimen design by incorporating stress state entropy into a Bayesian optimization scheme. This led to the design of cruciform specimens with maximized entropy for accurate parameter identification. Conversely, minimizing entropy in Peirs shear specimens yielded a uniform shear stress state, showcasing the framework’s flexibility in tailoring designs for specific experimental goals. Finally, we addressed experimental uncertainties, demonstrated the potential of transfer learning for replacing challenging testing protocols with simpler alternatives, and extension of the framework to different material laws.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106239"},"PeriodicalIF":5.0,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144341114","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":"Multiple scattering of elastic waves in polycrystals","authors":"Anubhav Roy ,&nbsp;Christopher M. Kube","doi":"10.1016/j.jmps.2025.106237","DOIUrl":"10.1016/j.jmps.2025.106237","url":null,"abstract":"<div><div>Elastic waves that propagate in polycrystalline materials attenuate due to scattering of energy out of the primary propagation direction in addition to becoming dispersive in their group and phase velocities. Attenuation and dispersion are modeled through multiple scattering theory to describe the mean displacement field or the mean elastodynamic Green’s function. The Green’s function is governed by the Dyson equation and was solved previously (Weaver 1990) by truncating the multiple scattering series at first-order, which is known as the first-order smoothing approximation (FOSA). FOSA allows for multiple scattering but places a restriction on the scattering events such that a scatterer can only be visited once during a particular multiple scattering process. In other words, recurrent scattering between two scatterers is not permitted. In this article, the Dyson equation is solved using the third-order smoothing approximation (TOSA). The TOSA permits scatterers to be visited twice during the multiple scattering process and, thus, provides a more complete picture of the multiple scattering effects on elastic waves. The derivation is valid at all frequencies spanning the Rayleigh, stochastic, and geometric scattering regimes without additional approximations that limit applicability in strongly scattering cases (like the Born approximation). The importance of TOSA is exemplified through analyzing specific weak and strongly scattering polycrystals. Multiple scattering effects contained in TOSA are shown to be important at the beginning of the stochastic scattering regime and are particularly important for transverse (shear) waves. This step forward opens the door for a deeper fundamental understanding of multiple scattering phenomena in polycrystalline materials.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106237"},"PeriodicalIF":5.0,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144341116","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":"Impedance theory-based elastic metasurface enabling precise mode conversion and preservation","authors":"Mu Jiang ,&nbsp;Hong-Tao Zhou ,&nbsp;Tong Zhu ,&nbsp;Yan-Feng Wang ,&nbsp;Badreddine Assouar ,&nbsp;Yue-Sheng Wang","doi":"10.1016/j.jmps.2025.106231","DOIUrl":"10.1016/j.jmps.2025.106231","url":null,"abstract":"<div><div>The coupling between longitudinal and transverse waves poses challenges for achieving precise and flexible wave modulation. Metasurface provides a promising platform for wave modulation. Designs derived from the generalized Snell’s law are constrained by unit-based analysis, lacking the versatility and efficiency required for complex two-dimensional wavefields. Inspired by recent developments in acoustics, impedance theory for precise manipulation of in-plane elastic waves is established in this work. As verification of this theoretical framework, we demonstrate mode preservation and mode conversion with wavefront manipulation by the design of metasurfaces. Their impedance interface conditions are derived, and the limitations of the generalized Snell’s law for precise manipulation are analyzed. Through topology optimization, unit cells satisfying the impedance requirements are obtained and further assembled into elastic metasurfaces. The effectiveness of this impedance-based approach for precise in-plane wave modulation is successfully validated through both numerical simulations and experimental measurements.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106231"},"PeriodicalIF":5.0,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144330561","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-PINN: A physics-informed neural network with finite geometric encoding for solid mechanics","authors":"Haolin Li ,&nbsp;Yuyang Miao ,&nbsp;Zahra Sharif Khodaei ,&nbsp;M.H. Aliabadi","doi":"10.1016/j.jmps.2025.106222","DOIUrl":"10.1016/j.jmps.2025.106222","url":null,"abstract":"<div><div>PINN models have demonstrated capabilities in addressing fluid PDE problems, and their potential in solid mechanics is beginning to emerge. This study identifies two key challenges when using PINN to solve general solid mechanics problems. These challenges become evident when comparing the limitations of PINN with the well-established numerical methods commonly used in solid mechanics, such as the finite element method (FEM). Specifically: a) PINN models generate solutions over an infinite domain, which conflicts with the finite boundaries typical of most solid structures; and b) the solution space utilised by PINN is Euclidean, which is inadequate for addressing the complex geometries often present in solid structures.</div><div>This work presents a PINN architecture for general solid mechanics problems, referred to as the Finite-PINN model. The model is designed to effectively tackle two key challenges, while retaining as much of the original PINN framework as possible. To this end, the Finite-PINN incorporates finite geometric encoding into the neural network inputs, thereby transforming the solution space from a conventional Euclidean space into a hybrid Euclidean–topological space. The model is trained using both strong-form and weak-form loss formulations, enabling its application to a wide range of forward and inverse problems in solid mechanics For forward problems, the Finite-PINN model efficiently approximates solutions to solid mechanics problems when the geometric information of a given structure has been preprocessed. For inverse problems, it effectively reconstructs full-field solutions from very sparse observations by embedding both physical laws and geometric information within its architecture.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106222"},"PeriodicalIF":5.0,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144341115","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":"Impact of gas/liquid phase change of CO2 during injection for sequestration","authors":"Mina Karimi ,&nbsp;Elizabeth S. Cochran ,&nbsp;Mehrdad Massoudi ,&nbsp;Noel Walkington ,&nbsp;Matteo Pozzi ,&nbsp;Kaushik Dayal","doi":"10.1016/j.jmps.2025.106232","DOIUrl":"10.1016/j.jmps.2025.106232","url":null,"abstract":"<div><div>CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> sequestration in deep saline formations is an effective and important process to control the rapid rise in CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> emissions. The process of injecting CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> requires reliable predictions of the stress in the formation and the fluid pressure distributions – particularly since monitoring of the CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> migration is difficult – to mitigate leakage, prevent induced seismicity, and analyze wellbore stability. A key aspect of CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> is the gas–liquid phase transition at the temperatures and pressures of relevance to leakage and sequestration, which has been recognized as being critical for accurate predictions but has been challenging to model without <em>ad hoc</em> empiricisms.</div><div>This paper presents a robust multiphase thermodynamics-based poromechanics model to capture the complex phase transition behavior of CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> and predict the stress and pressure distribution under super- and sub- critical conditions during the injection process. A finite element implementation of the model is applied to analyze the behavior of a multiphase porous system with CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> as it displaces the fluid brine phase. We find that if CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> undergoes a phase transition in the geologic reservoir, the spatial variation of the density is significantly affected, and the migration mobility of CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> decreases in the reservoir. A key feature of our approach is that we do not <em>a priori</em> assume the location of the CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> gas/liquid interface – or even if it occurs at all – but rather, this is a prediction of the model, along with the spatial variation of the phase of CO<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span> and the change of the saturation profile due to the phase change.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106232"},"PeriodicalIF":5.0,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144321603","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":"Post-buckling of fiber-reinforced soft tissues","authors":"Yang Liu ,&nbsp;Rui-Cheng Liu ,&nbsp;Wanyu Ma ,&nbsp;Alain Goriely","doi":"10.1016/j.jmps.2025.106220","DOIUrl":"10.1016/j.jmps.2025.106220","url":null,"abstract":"<div><div>Fiber-reinforcement is a universal feature of many biological tissues. It involves the interplay between fiber stiffness, fiber orientation, and the elastic properties of the matrix, influencing pattern formation and evolution in layered tissues. Here, we investigate the deformation of a compressed film bonded to a half-space, where either the film or the substrate exhibits anisotropy. Within the framework of finite elasticity, we formulate nonlinear incremental equations, enabling linear and weakly nonlinear analyses. These analyses yield exact bifurcation conditions and an amplitude equation for surface wrinkling. In particular, for a simple fiber-reinforced model, we show that the bifurcation can be supercritical or subcritical depending on the ratio between the substrate and the film moduli. These findings underscore the pivotal role of fiber-reinforcement in shaping pattern formation in anisotropic tissues and provide insights into the morphological evolution of biological tissues.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106220"},"PeriodicalIF":5.0,"publicationDate":"2025-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144341117","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":"Local resonance of mechanosensitive channels","authors":"Bing Qi ,&nbsp;Shujuan Lin ,&nbsp;Yaohua Guo ,&nbsp;Linglin Feng ,&nbsp;Lijun Su ,&nbsp;Yang Liu ,&nbsp;Alain Goriely ,&nbsp;Tian Jian Lu ,&nbsp;Shaobao Liu","doi":"10.1016/j.jmps.2025.106249","DOIUrl":"10.1016/j.jmps.2025.106249","url":null,"abstract":"<div><div>Mechanosensitive channels are crucial biological structures that respond to mechanical stimuli by altering cellular processes. Recent studies suggest that these channels can be activated by ultrasound at specific frequencies, yet the underlying physical mechanisms remain unclear. Membrane tension is known to play a pivotal role in the regulation of mechanosensitive channels. Here, we investigate whether ultrasound can modulate membrane tension to facilitate channel activation. To do so, we develop a theoretical model based on the local resonance of mechanosensitive channels embedded in lipid membranes when subjected to ultrasonic excitation. Our results reveal that ultrasound can induce localized membrane resonance, leading to increased membrane tension in the vicinity of the channel. This tension increase, when occurring at specific resonant frequencies, is sufficient to activate mechanosensitive channels. Furthermore, we establish the effective frequency range for channel activation and examine the influence of key parameters such as ultrasound intensity, channel molecular mass, and damping effects on this range. Our findings provide a mechanistic explanation for ultrasound-induced activation of mechanosensitive channels, offering valuable insights for applications in neuromodulation, targeted therapy, and mechanomedicine.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106249"},"PeriodicalIF":5.0,"publicationDate":"2025-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144330562","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":"Toughening mechanism of macroscale heterogeneous soft materials: a systematic study from the perspective of energy release rate","authors":"Yijie Cai ,&nbsp;Daochen Yin ,&nbsp;Jiabao Bai ,&nbsp;Siqi Yan,&nbsp;Zihang Shen,&nbsp;Shaoxing Qu,&nbsp;Zheng Jia","doi":"10.1016/j.jmps.2025.106243","DOIUrl":"10.1016/j.jmps.2025.106243","url":null,"abstract":"<div><div>Due to their enhanced fracture and fatigue resistance, macroscale heterogeneous soft materials consisting of alternating hard/soft phases have become increasingly prevalent in a wide range of applications. Despite their widespread use and apparent advantages, a comprehensive and precise understanding of the toughening mechanisms behind them remains elusive. Here, we systematically study the fracture mechanics of hyperelastic bi-material sheets (i.e., the basic building block of macroscale heterogeneous soft materials) through a combination of experiments, numerical calculation, and analytical analysis. First, employing heterogeneous PAAm hydrogels as a model system, we experimentally observe the hindering effect of the bi-material interface on the crack propagation from the soft phase into the hard phase, and identify the toughening rule of macroscale heterogeneous soft materials – the increase in the shear modulus contrast between the soft and hard phases leads to a substantial enhancement in the stretch at break of pre-cut heterogeneous soft materials. Second, through finite element calculations, we uncover the toughening mechanism of macroscale heterogeneous soft materials from the perspective of energy release rate: when the soft-phase crack propagates close to the soft-hard interface, the energy release rate rapidly plummets, and the reduction in the energy release rate is more obvious with the increase of the shear modulus contrast between the soft and hard phases, which plays a pivotal role in toughening heterogeneous soft materials. Lastly, an analytical fracture theory from the perspective of crack-tip deformation is derived for macroscale heterogeneous soft materials. By comparing the measured/calculated stretches at break from experiments, finite element calculation, and the analytical model, we reveal the precision, advantage and depth of understanding the toughening mechanism of macroscale heterogeneous soft materials from the perspective of energy release rate. The findings are applicable to a wide variety of hyperelastic soft materials, including biological materials, hydrogels and elastomers, offering valuable insights into the design of heterogeneous soft materials with superior mechanical properties.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106243"},"PeriodicalIF":5.0,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144321684","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":"Towards understanding structure-function relationships in random fiber networks","authors":"Peerasait Prachaseree,&nbsp;Emma Lejeune","doi":"10.1016/j.jmps.2025.106221","DOIUrl":"10.1016/j.jmps.2025.106221","url":null,"abstract":"<div><div>Random fiber networks form the structural foundation of numerous biological tissues and engineered materials. From a mechanics perspective, understanding the structure-function relationships of random fiber networks is particularly interesting because when external force is applied to these networks, only a small subset of fibers will actually carry the majority of the load. Specifically, these load-bearing fibers propagate through the network to form load paths, also called force chains. However, the relationship between fiber network geometric structure, force chains, and the overall mechanical behavior of random fiber network structures remains poorly understood. To this end, we implement a finite element model of random fiber networks with geometrically exact beam elements, and use this model to explore random fiber network mechanical behavior. Our focus is twofold. First, we explore the mechanical behavior of single fiber chains and random fiber networks. Second, we propose and validate an interpretable analytical approach to predicting fiber network mechanics from structural information alone. Key findings include insight into the critical strain-stiffening transition point for single fiber chains and fiber networks generated from a Voronoi diagram, and a connection between force chains and the distance-weighted graph shortest paths that arise by treating fiber networks as spatial graph structures. This work marks an important step towards mapping the structure-function relationships of random fiber networks undergoing large deformations. Additionally, with our code distributed under open-source licenses, we hope that future researchers can directly build on our work to address related problems beyond the scope defined here.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106221"},"PeriodicalIF":5.0,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144321670","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}