Journal of The Mechanics and Physics of Solids最新文献

{"title":"Stress singularities in the generalised Comninou frictional contact model for interface cracks in anisotropic bimaterials","authors":"María A. Herrera-Garrido,&nbsp;Vladislav Mantič","doi":"10.1016/j.jmps.2025.106214","DOIUrl":"10.1016/j.jmps.2025.106214","url":null,"abstract":"<div><div>Characterisation of the singular asymptotic solution at the tip of interface cracks between dissimilar materials is essential for assessing the structural integrity of heterogeneous material systems. In the present article, the Comninou contact model, one of the most relevant and widely used models, originally introduced for isotropic bimaterials, is generalised for the first time to any anisotropic linear elastic bimaterial under generalised plane strain, considering a frictional sliding contact zone adjacent to the crack tip. The classical Coulomb friction law is considered. A novel procedure, based on the Stroh formalism of linear anisotropic elasticity, is developed to derive a system of two new coupled nonlinear eigenequations given in closed form for two unknown parameters of such singular solutions, the singularity exponent <span><math><mi>λ</mi></math></span> and the sliding angle <span><math><mi>ω</mi></math></span> in the contact zone. In general, this eigensystem is solved by an iterative method, although in some cases, closed-form solutions are provided. Parametric studies of the influence of material orientations and the friction coefficient value on variations of <span><math><mi>λ</mi></math></span> and <span><math><mi>ω</mi></math></span> reveal several surprising features of this asymptotic solution. The present approach is successfully verified by comparing some of the results obtained with those reported in previous studies, wherever possible. Note that previous studies essentially focused on bimaterials with specific orientations, considerably simplifying the problem. The singular solutions obtained can also be used in the asymptotic analysis of elastic fields at the boundary between stick and slip zones in partial slip contact problems for anisotropic materials.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106214"},"PeriodicalIF":5.0,"publicationDate":"2025-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144517534","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":"Static topological mechanics: from space-time duality to localized deformations","authors":"Aoxi Wang, Chang Qing Chen","doi":"10.1016/j.jmps.2025.106248","DOIUrl":"https://doi.org/10.1016/j.jmps.2025.106248","url":null,"abstract":"Manipulating localized static deformations in materials that are otherwise sensitive to stochastic imperfections and impurities is a long-standing pursuit in solid mechanics. Developments in topological physics have unveiled an unprecedented paradigm for steering robust, localized transport of mass and energy and have been extended to classical dynamic mechanical systems, known as topological mechanics. Recently, Wang, Zhou, and Chen (2023) showed that phonons are not the only elementary excitations in topological mechanics; topology is also inherent in static load-induced mechanical deformations of lattice materials and elastic continua. In these quasistatic and frequency-irrelevant systems, topologically nontrivial modes manifest as ordered static deformations localized at boundaries or interfaces, providing a new method to rationally regulate localized deformations so that they are robust against structural disorders and defects. In this review, we introduce the fundamental concepts of this topology, referred to as static topological mechanics, emphasizing the space-time duality and the imaginary time transformation between static and associated wave dynamic systems. We outline several archetypal topological states reconstructed in static mechanical systems, including topological zero modes, multipole higher-order topologies, and non-Hermitian topologies. In parallel with their dynamic counterparts, robust static topologies can be harnessed to customize localized deformations, such as constructing multidirectional stress guides in lattice materials. This review concludes by envisioning future challenges and opportunities in static topological mechanics.","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"13 1","pages":""},"PeriodicalIF":5.3,"publicationDate":"2025-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144305103","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":"Experiments and modeling of mechanically-soft, hard magnetorheological foams with potential applications in haptic sensing","authors":"Zehui Lin ,&nbsp;Zahra Hooshmand-Ahoor ,&nbsp;Laurence Bodelot ,&nbsp;Kostas Danas","doi":"10.1016/j.jmps.2025.106218","DOIUrl":"10.1016/j.jmps.2025.106218","url":null,"abstract":"<div><div>This study proposes a family of novel mechanically-soft and magnetically-hard magnetorheological foams that, upon deformation, lead to robust and measurable magnetic flux changes in their surroundings. This allows to infer qualitatively and even quantitatively the imposed deformation and, eventually from that, an estimation of the stiffness and average stress on the sample even in complex loading scenarios involving combinations of uniform or nonuniform compression/tension with superposed shearing in different directions. The work provides a complete experimental, theoretical and numerical framework on finite strain, compressible magneto-elasticity, thereby allowing to measure and predict coupled magneto-mechanical properties of such materials with different particle volume fractions and then use it to estimate and design potential haptic sensing devices.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106218"},"PeriodicalIF":5.0,"publicationDate":"2025-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144305104","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 novel energy-based numerical approach for adhesive contact mechanics of rough surfaces","authors":"Michele Santeramo ,&nbsp;Giuseppe Carbone ,&nbsp;Stefan Krenn ,&nbsp;Carmine Putignano","doi":"10.1016/j.jmps.2025.106217","DOIUrl":"10.1016/j.jmps.2025.106217","url":null,"abstract":"<div><div>In this paper, we present an innovative Boundary Element methodology to deal with 3D elastic adhesive contacts. Crucially, the numerical procedure, which is fully general as it enables the study of both smooth and rough contacts, is based on a novel algorithm to assess the contact area in a three-dimensional domain: the contours of the contact patches are determined by imposing that the total energy of the system is stationary. This methodology is successfully validated against the well-known JKR solution involving a smooth sphere in contact with a half-space. Then, to evaluate the robustness of the solver, the multi-asperity contact between a double sine wave surface and an elastic halfspace is studied: specifically, when focusing on two asperities, the coalescence of the related contact patches is shown to be accurately described. Finally, the analysis has been broadened to the contact between rough surfaces: the solution, successfully benchmarked with other numerical methods available in literature, demonstrates that our numerical approach is highly accurate and reliable, thus representing a new efficient methodology to deal with all contact problems characterized by a certain interfacial energy.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106217"},"PeriodicalIF":5.0,"publicationDate":"2025-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144305106","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":"Constitutive Kolmogorov–Arnold Networks (CKANs): Combining accuracy and interpretability in data-driven material modeling","authors":"Kian P. Abdolazizi ,&nbsp;Roland C. Aydin ,&nbsp;Christian J. Cyron ,&nbsp;Kevin Linka","doi":"10.1016/j.jmps.2025.106212","DOIUrl":"10.1016/j.jmps.2025.106212","url":null,"abstract":"<div><div>Hybrid constitutive modeling integrates two complementary approaches for describing and predicting a material’s mechanical behavior: purely data-driven black-box methods and physically constrained, theory-based models. While black-box methods offer high accuracy, they often lack interpretability and extrapolability. Conversely, physics-based models provide theoretical insight and generalizability but may not capture complex behaviors with the same accuracy. Traditionally, hybrid modeling has required a trade-off between these aspects. In this paper, we show how recent advances in symbolic machine learning — specifically Kolmogorov–Arnold Networks (KANs) — help to overcome this limitation. We introduce Constitutive Kolmogorov–Arnold Networks (CKANs) as a new class of hybrid constitutive models. By incorporating a post-processing symbolification step, CKANs combine the predictive accuracy of data-driven models with the interpretability and extrapolation capabilities of symbolic expressions, bridging the gap between machine learning and physical modeling.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106212"},"PeriodicalIF":5.0,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144305107","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":"Variable camber structure for aircraft wing based on zero Poisson's ratio lattice structure","authors":"Jiang-Bo Bai ,&nbsp;Shao-Lin Li ,&nbsp;Tian-Wei Liu ,&nbsp;Peng-Cheng Cao ,&nbsp;Jiang-Hao Wu","doi":"10.1016/j.jmps.2025.106241","DOIUrl":"10.1016/j.jmps.2025.106241","url":null,"abstract":"<div><div>Morphing aircraft represent one of the most advanced aviation technology development directions in the future, and the variable camber wing that requires both rigidity and flexibility, although technically difficult, is currently the most feasible and highly profitable aviation morphing wing solution in terms of engineering feasibility. This paper proposes a Variable Camber Wing Structure (VCWS) based on zero Poisson's ratio lattice structure, enabling smooth, continuous, and significant shape changes in the wing to enhance the aerodynamic performance. By integrating zero Poisson’s ratio lattice structure, servo-driven actuators, and eccentric lever transmission mechanisms, the conceptual design of this structure is described in detail. Specimens of zero Poisson’s ratio lattice structures were fabricated and subjected to tensile testing, and the excellent deformation capability was validated through numerical simulation and analytical modeling. Based on this, a VCWS was designed and fabricated, followed by functional validation tests. Experimental results show that the VCWS successfully achieves both upward and downward deflection. Through numerical simulation and analytical modeling, the driving forces and deformation were predicted, and the results matched the experimental results, proving the feasibility and effectiveness of the design. This structure offers a more flexible and efficient solution for VCWS in future aircraft.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106241"},"PeriodicalIF":5.0,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144305105","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":"Transition from a crack-type to a supershear-type to a spall-type mode of separation for tensile loading of an elastic solid with a weak interface","authors":"M. Wang ,&nbsp;J. Fineberg ,&nbsp;A. Needleman","doi":"10.1016/j.jmps.2025.106213","DOIUrl":"10.1016/j.jmps.2025.106213","url":null,"abstract":"<div><div>Dynamic mode I crack growth in a sheet with an edge pre-crack subject to remote impact tensile loading is investigated experimentally and computationally. Separation is constrained to occur along a weak interface directly ahead of the pre-crack tip. The experiments are carried out on a PDMS sheet composed of two sheets glued together to make the weak surface in front of the pre-crack. The thickness and composition of the glue are varied to provide different cohesive properties. In the calculations, the sheet material is represented by an isotropic hyperelastic constitutive relation and the weak interface is represented by a zero thickness cohesive surface with the cohesive traction related to the displacement jump across the interface. The calculations are in qualitative agreement with the experiments for the propagation speed, the shape of the opening along the interface and general features of the deformation distribution in the material. Both the experiments and the calculations indicate that a characteristic length scale, associated with the cohesive response of the interface plays a key role in affecting the propagation speed and the mode of separation. When the cohesive length scale is sufficiently small, propagation is crack-like and the propagation speed does not exceed the Rayleigh wave speed. An increased value of the cohesive length scale leads to a propagation speed that exceeds the shear wave speed. Transition to a spall-like separation mode occurs when the opening traction on the remaining ligament reaches the cohesive strength of the interface. A cohesive interface with a larger value of the work of separation can have a faster separation speed than one having the same cohesive strength but a smaller value of the work of separation. For calculations with loading imposed on the faces of the pre-crack, so that propagation occurs into unstressed material, the propagation speed does not exceed the Rayleigh wave speed even for a very weak interface.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106213"},"PeriodicalIF":5.0,"publicationDate":"2025-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144291257","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 topology optimisation framework to design test specimens for one-shot identification or discovery of material models","authors":"Saeid Ghouli ,&nbsp;Moritz Flaschel ,&nbsp;Siddhant Kumar ,&nbsp;Laura De Lorenzis","doi":"10.1016/j.jmps.2025.106210","DOIUrl":"10.1016/j.jmps.2025.106210","url":null,"abstract":"<div><div>The increasing availability of full-field displacement data from imaging techniques in experimental mechanics is determining a gradual shift in the paradigm of material model calibration and discovery, from using several simple-geometry tests towards a few, or even one single test with complicated geometry. The feasibility of such a “one-shot” calibration or discovery heavily relies upon the richness of the measured displacement data, i.e., their ability to probe the space of the state variables and the stress space (whereby the stresses depend on the constitutive law being sought) to an extent sufficient for an accurate and robust calibration or discovery process. The richness of the displacement data is in turn directly governed by the specimen geometry. In this paper, we propose a density-based topology optimisation framework to optimally design the geometry of the target specimen for calibration of an anisotropic elastic material model. To this end, we perform automatic, high-resolution specimen design by maximising the robustness of the solution of the inverse problem, i.e., the identified material parameters, given noisy displacement measurements from digital image correlation. We discuss the choice of the cost function and the design of the topology optimisation framework, and we analyse a range of optimised topologies generated for the identification of isotropic and anisotropic elastic responses.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106210"},"PeriodicalIF":5.0,"publicationDate":"2025-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144313589","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":"Nonlinear contact mechanics of soft elastic spheres under extreme compression","authors":"Tong Mu ,&nbsp;Ruozhang Li ,&nbsp;Changhong Linghu ,&nbsp;Yanju Liu ,&nbsp;Jinsong Leng ,&nbsp;Huajian Gao ,&nbsp;K. Jimmy Hsia","doi":"10.1016/j.jmps.2025.106229","DOIUrl":"10.1016/j.jmps.2025.106229","url":null,"abstract":"<div><div>The contact of soft elastic spheres on substrates is a fundamental problem with significant relevance to fields such as bioengineering, robotics, micro-assembly, and wearables. Accurate analytical solutions for contact behaviors under extreme compression, particularly at compression ratios (compression displacement normalized by sphere radius) exceeding 10 %, are still lacking. This study investigates the contact mechanics of an elastic sphere against a rigid substrate (i.e., the flattening problem) under large deformations, integrating theoretical analysis, finite element analysis (FEA) simulations, and experiments. A finite-deformation theory framework for the flattening problem is proposed, accounting for finite-thickness and radial expansion effects. This framework facilitates analytical solutions for contact force, contact radius, and contact pressure. Systematic analysis of the three key sources of nonlinearity—geometry, material, and contact properties—reveals that geometric nonlinearity is the primary factor causing deviations in contact forces from the Hertzian theory. Based on these insights, explicit solutions for contact force, contact radius, and contact pressure are obtained using simple linear correction functions, achieving excellent agreement with FEA results. Experimental validation with Ecoflex samples demonstrates the high accuracy of these solutions at compression ratios up to 80 %. Additionally, their applicability to cellular mechanics is validated through precise predictions of contact forces reported in the literature for various cell types at compression ratios up to 75 %. This work provides an effective approach to addressing nonlinearities in the flattening problem, enabling accurate predictions of contact behavior under extreme compression. Our findings offer valuable guidelines for contact analysis and structural design involving soft elastomers.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106229"},"PeriodicalIF":5.0,"publicationDate":"2025-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144288945","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 novel neural network for isotropic polyconvex hyperelasticity satisfying the universal approximation theorem","authors":"Gian-Luca Geuken ,&nbsp;Patrick Kurzeja ,&nbsp;David Wiedemann ,&nbsp;Jörn Mosler","doi":"10.1016/j.jmps.2025.106209","DOIUrl":"10.1016/j.jmps.2025.106209","url":null,"abstract":"<div><div>This paper presents a novel framework of neural networks for isotropic hyperelasticity that enforces necessary physical and mathematical constraints while simultaneously satisfying the universal approximation theorem. The two key ingredients are an input convex network architecture and a formulation in the elementary polynomials of the signed singular values of the deformation gradient. In line with previously published networks, it can rigorously capture frame-indifference and polyconvexity — as well as further constraints like balance of angular momentum and growth conditions. However and in contrast to previous networks, a universal approximation theorem for the proposed approach is proven. To be more explicit, the proposed network can approximate any frame-indifferent, isotropic polyconvex energy (provided the network is large enough). This is possible by working with a sufficient and necessary criterion for frame-indifferent, isotropic polyconvex functions. Comparative studies with existing approaches identify the advantages of the proposed method, particularly in approximating non-polyconvex energies as well as computing polyconvex hulls.</div></div>","PeriodicalId":17331,"journal":{"name":"Journal of The Mechanics and Physics of Solids","volume":"203 ","pages":"Article 106209"},"PeriodicalIF":5.0,"publicationDate":"2025-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144279384","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}