International Journal of Solids and Structures最新文献

{"title":"Coupled arches: A new class of free-form funicular structures","authors":"Ágoston P. Szesztay,&nbsp;Péter L. Várkonyi","doi":"10.1016/j.ijsolstr.2025.113287","DOIUrl":"10.1016/j.ijsolstr.2025.113287","url":null,"abstract":"<div><div>We investigate form finding of funicular structures composed of two slender, planar arches connected by a dense sequence of cables. Two problem formulations based on nonlinear algebraic equations, and on differential equations are developed. Both of them accept prescribed arch geometry and loads as input, and generate an appropriate geometry of connectors enabling static equilibrium of all components without shear or bending. Investigation of the solution sets reveals rich geometric structures, bifurcations, and singularities. Our results have a wide range of applications including the conceptual design and form finding of planar arch, suspension, cable-stayed, and harp bridges, cable trusses, and beams with external post-tensioning.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113287"},"PeriodicalIF":3.4,"publicationDate":"2025-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143684572","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The generalized descriptions of elastic constitutive model and equation of state for nonaxisymmetrical large deformation of cubic crystals under extreme high pressures","authors":"Hongyu Wang,&nbsp;Linli Zhu","doi":"10.1016/j.ijsolstr.2025.113336","DOIUrl":"10.1016/j.ijsolstr.2025.113336","url":null,"abstract":"<div><div>The large deformation behavior of materials under extreme high pressures has become a key focus in high-pressure science research. The diamond anvil cell (DAC) experiments have revealed anomalous volume-pressure (<em>V/V₀</em> – <em>P</em>) relationships, which have driven the development of more widely applicable high-pressure equations of state with higher precision. Traditional equations of state often could not involve the anisotropic factors appearing in DAC experiments, which is one of the primary reasons for the lack of precision. Based on the theoretical framework of Birch and Murnaghan, this work derives the anisotropic compression large deformation constitutive relations and the equations of state from both the Lagrangian and Eulerian perspectives, and extends them to describe the strain hardening effects on second-order elastic constants and bulk modulus. Using these theoretical descriptions, the volume-pressure relationships for four face-centered cubic (FCC) metals (Au, Ag, Cu, Ni) and four body-centered cubic (BCC) metals (Mo, Fe, W, Ta) are calculated, and validate the volume-pressure relationship through atomic-scale simulations. The impact of nonaxisymmetry on the pressure and volume changes is quantified, and it is revealed that the nonaxisymmetry amplifies the pressure difference for the same deformation and increases the volume difference for the same pressure. Additionally, the changes in second-order elastic constants and bulk modulus are investigated to analyze the anisotropic strengthening of elastic properties in various metal materials due to anisotropic deformation. The discrepancy of the predicted bulk modulus from the third-order Birch and Murnaghan equation evaluated by comparing the precise solutions from the generalized equation of state under nonaxisymmetrical conditions. It is found that the discrepancy increases with enlarging the degree of nonaxisymmetry, and the discrepancy for BCC metals is generally higher than that for FCC metals. The present theoretical models for the elastic constitutive behavior and the equation of state could provide the precise descriptions for the elastic performance under extreme high-pressure conditions and the theoretical supports for the design of pressure-resistant materials.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113336"},"PeriodicalIF":3.4,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143631965","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 chemo-thermo-mechanical coupled phase-field model for complex early-age concrete mesoscale fracture simulations","authors":"Hui Li,&nbsp;Shanyong Wang","doi":"10.1016/j.ijsolstr.2025.113340","DOIUrl":"10.1016/j.ijsolstr.2025.113340","url":null,"abstract":"<div><div>Complex crack propagation at micro/<em>meso-</em>scale in heterogeneous early-age concrete is usually induced by non-uniform shrinkage and thermal expansion during hydration processes, directly affecting the loading-carrying capacity of concrete structures and their systems. Prediction of such early-age fracture is essential for investigating its effects on the macroscopic mechanical performance of concrete and further optimizing structural design. To this end, this study proposes a novel mesoscale hydration-induced fracture modelling method combining a chemo-thermo-mechanical coupled phase-field model and random aggregate models for complex mesoscale early-age concrete fracture simulations. In this method, the Fourier’s law and the Arrhenius’s law are used to simulate heat transfer and hydration reaction in heterogeneous models, respectively. The temperature and hydration degree of solids are fully incorporated into the governing equations of the phase-field regularized cohesive zone model to efficiently simulate complicated chemo-thermally induced fracture, without the need of remeshing, crack tracking or auxiliary fields. The resultant displacement-temperature-hydration degree-damage four-field coupled system of equations is solved using a staggered Newton–Raphson iterative algorithm within the finite element framework. The new method is first verified by a heat convection problem with numerical solutions and a hydration fracture problem of a concrete ring with experimental data. Mesoscale fracture modelling of an early-age concrete square is then carried out to investigate the effects of mesh size, phase-field length scale, boundary conditions, and the distribution and volume fraction of random aggregates, on concrete hydration. It is found that the present method is capable of accurately and robustly modelling chemo-thermally induced mesoscale multi-crack propagation, with insensitivity to mesh size and phase-field length scale. The capacity of modelling complex heterogeneous early-age cracking, as well as its potential for advancing structural design and optimization, is well demonstrated.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113340"},"PeriodicalIF":3.4,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143631966","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Elastoplastic characterization of rolled C11000 copper sheets via a coupled calibration methodology: Experiments, modeling, and simulation","authors":"Alvaro Navarrete ,&nbsp;Matías Pacheco-Alarcón ,&nbsp;Julio Méndez ,&nbsp;Claudio M. García-Herrera ,&nbsp;Diego J. Celentano ,&nbsp;Javier W. Signorelli","doi":"10.1016/j.ijsolstr.2025.113314","DOIUrl":"10.1016/j.ijsolstr.2025.113314","url":null,"abstract":"<div><div>A comprehensive study of the post-necking response of materials is a relevant aspect in many metal-forming applications. For this purpose, the proposal of a suitable constitutive model to describe the elastoplastic response, an adequate material characterization, and the rise of numerical simulation as a feasible tool in the control and design of parts subjected to plastic deformation are key aspects that have to be addressed. In this context, to characterize the elastoplastic behavior of rolled C11000-H2 99.90% pure copper sheets, a constitutive model accounting for appropriate yield criterion function (Cazacu–Plunket–Barlat 06, named CPB-06) and hardening law (modified Voce) is presented. In this material, the necking formation is produced at low levels of strain (5% approximately in a tensile test). The 3D stress state that develops afterward is a critical aspect that must be considered when developing an adequate characterization of this material. Therefore, there is a need to formulate an effective and robust strategy to determine the model parameters. In this regard, a coupled calibration procedure is proposed, using a combined experimental–analytical–computational approach. To calibrate the model parameters, this methodology is used with experimental results of proportional loading paths corresponding to uniaxial tensile tests carried out in seven in-plane directions, along with the equi-biaxial condition via hydraulic bulge tests. Then, uniaxial tensile tests under non-proportional loading paths, with specimens previously pre-strained along the rolling direction of the sheets to two levels, both beyond the ultimate tensile strength (UTS) zone: 0.07 and 0.14, are used subsequently to evaluate the performance of the model previously calibrated. The reasonably good experimental–numerical agreement in the material response for these last cases successfully validated the proposed characterization methodology.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113314"},"PeriodicalIF":3.4,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143629030","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Effect of SnO2 particulate characteristics on mechanical properties of Ag/SnO2 electrical contact materials","authors":"Zhi-Xu Qi ,&nbsp;Long-Hao Li ,&nbsp;Hao YI ,&nbsp;Wen-Ge Liang ,&nbsp;Jian-Qi Liu ,&nbsp;Ming-Cai Wei","doi":"10.1016/j.ijsolstr.2025.113338","DOIUrl":"10.1016/j.ijsolstr.2025.113338","url":null,"abstract":"<div><div>The particulate characteristics (shape, size, and mass fraction) of SnO₂ particles in Ag/SnO₂ electrical contact materials govern their complex mechanical response, which cannot be fully characterized through conventional experimental methods. Here, finite element modeling was employed to unravel the intrinsic coupling between the matrix and particles in Ag/SnO₂. Representative volume element (RVE) models were constructed based on experimentally derived microstructural data, enabling systematic analysis of deformation mechanisms, interfacial debonding phenomena, and crack propagation pathways under varying geometrical parameters and mass fractions. Key findings demonstrate that short prismatic (SP) particles optimize the strength-ductility balance, whereas long prismatic (LP) particles enhance load transfer at the expense of plasticity. Striking a balance between the intricacy of particle shape complexity and dimensional control emerged as a critical strategy for mechanical performance enhancement. The progressive damage evolution was simulated by integrating cohesive zone modeling with ductile fracture criteria. The crack formation mechanism was identified to be caused by interfacial debonding-induced microvoid nucleation and coalescence. Crack extension was effectively impeded by SP particles, correlating with improved material elongation. Therefore, a computational framework was established for elucidating microstructure-property relationships in particle-reinforced electrical contact materials.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113338"},"PeriodicalIF":3.4,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143637700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 computationally efficient hybrid formulation for viscoelastic–viscoplastic polymer solids and structures under large numbers of loading cycles","authors":"Darith Anthony Hun ,&nbsp;Mohamed Haddad ,&nbsp;Issam Doghri ,&nbsp;Georgios Tsilimidos ,&nbsp;Michael Lackner ,&nbsp;Zoltan Major ,&nbsp;Leonhard Doppelbauer ,&nbsp;Sara Haouala","doi":"10.1016/j.ijsolstr.2025.113290","DOIUrl":"10.1016/j.ijsolstr.2025.113290","url":null,"abstract":"<div><div>The numerical simulation of the high cycle response of solids and structures made of thermoplastic polymers is challenging because those materials exhibit a complex viscoelastic–viscoplastic (VEVP) behavior and even under large numbers of loading cycles, they continue to dissipate energy and feature a frequency dependent response. On the one hand classical simplified methods based on linear elasticity are not applicable, and on the other hand direct structural analyses with VEVP material models are so computationally prohibitive that they are not possible in practice. In this article, a computationally efficient hybrid formulation is proposed. The structure is first computed as being purely VE, using a recently proposed formulation based on Laplace-Carson transform (LCT) and its numerical inversion, and enabling to compute accurate strain and stress fields at a very reduced cost, which is also independent of the number of cycles. Next, the VEVP solution at any points of interest is computed with a time homogenization formulation which uses fast and slow time scales and asymptotic time expansions to compute complete solutions at extremely limited cost. An experimentally identified TPU material and a 3D lattice are used for the numerical simulations. Predictions of the hybrid formulation are compared against reference VEVP solutions and their accuracy verified. Numerical simulations for one million cycles are presented and the low computational cost of the hybrid formulation illustrated. The underlying assumptions of the hybrid formulation linking the VE results with the VEVP calculations are discussed. The proposal lays the foundation for the time and space multiscale modeling and simulation of the high cycle fatigue of thermoplastic solids and structures.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113290"},"PeriodicalIF":3.4,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143611477","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Unified finite element limit analysis for solid reinforced concrete structures","authors":"Peter Noe Poulsen,&nbsp;John Forbes Olesen","doi":"10.1016/j.ijsolstr.2025.113307","DOIUrl":"10.1016/j.ijsolstr.2025.113307","url":null,"abstract":"<div><div>The application of Limit Analysis is effective in the pursuit of the collapse load of a structure. So far, whether it is an analytical model or a numerical model, the choice has been to apply either the lower or the upper bound theorem. Here, a unified approach for solid Finite Element models has eliminated this distinction and there is only one shared optimal solution. The unified solution is based on the two theorems by applying coinciding constitutive points for the fulfilment of the yield criteria together with weak forms of the equilibrium and the compatibility demands in the lower and upper bound formulation, respectively. This approach applies to any 3D stress state which may be formulated as a Semidefinite Program. Models based on either the lower or the upper bound theorem often give an indistinct result for the dual solution, interpreted as the displacements or the stresses, respectively. The present unified mixed solution renders accurate results for both stresses, displacements and load levels which in general are more accurate than the corresponding strict lower and upper bound solutions. A tetrahedral solid element with a linear stress variation and a quadratic displacement interpolation is presented along with a compatible embedded bar element. The effectiveness of this implementation is shown in three examples with regards to stresses, displacements, plastic work and the load capacity of reinforced concrete structures.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113307"},"PeriodicalIF":3.4,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143600792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Fracture swarm formation during shut-in driven by pore pressure waves","authors":"Cexuan Liu ,&nbsp;Egor Dontsov ,&nbsp;Manchao He ,&nbsp;Fengshou Zhang","doi":"10.1016/j.ijsolstr.2025.113320","DOIUrl":"10.1016/j.ijsolstr.2025.113320","url":null,"abstract":"<div><div>Hydraulic fracturing involves injecting a high-pressure fluid mixture to create fractures in underground rock formations, thereby enhancing hydrocarbon flow. Recent field observations, such as those from the Hydraulic Fracture Test Site (HFTS) project and tests in the Eagle Ford, have revealed surprising complexity of hydraulic fractures, including the presence of densely distributed fracture swarms. These findings challenge conventional expectations and necessitate a deeper understanding of fracture mechanisms. Existing studies have explored the propagation, connectivity, and implications of multiple fractures, but questions remain about the mechanisms behind the formation of fracture swarms, particularly the distribution of these secondary fractures. Our research introduces an alternative mechanism, proposing that secondary fractures result from a pore-pressure wave in which the pore pressure exceeds the compressive stress. This hypothesis suggests that pore-pressure variations within the rock and fluid exchange between the fracture and rock after shut-in can initiate secondary fractures. Through theoretical modeling and scaling, we have identified the governing dimensionless parameters that determine the number and distribution of secondary fractures. Numerical simulations enabled us to construct the parametric space for these parameters. Finally, we propose a procedure to interpret field observations of fracture swarms. Our approach provides new insights into predicting fracture swarms and using the observed fracture swarms to constrain some parameters that are relevant to hydraulic fracturing.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113320"},"PeriodicalIF":3.4,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143591569","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Discrete mechanical modeling of planar structures subjected to out-of-plane loading","authors":"Q. Zhang ,&nbsp;A. Fascetti ,&nbsp;M.A. Perez-Lara ,&nbsp;J.E. Bolander","doi":"10.1016/j.ijsolstr.2025.113321","DOIUrl":"10.1016/j.ijsolstr.2025.113321","url":null,"abstract":"<div><div>Many applications of planar concrete structures and other thin laminated cement-based composites involve the potential for out-of-plane loading. For such loading cases, structural response is highly sensitive to the positioning of reinforcement within the narrow cross-section. Herein, a novel extension of the Voronoi-cell lattice model (VCLM), which is a particle-type lattice model, is proposed to simulate the behavior of planar structural elements subjected to out-of-plane loading. Based on a two-dimensional network of nodes, a layered assembly of the element cross-sections provides a three-dimensional description of section behavior, while accommodating general forms of loading. The associated reduction in computational expense greatly extends the range of potential modeling applications. The efficacy of this layered Voronoi-cell lattice model (L-VCLM) is demonstrated through elastic stress analysis, plastic limit analysis and simulations of ferrocement panels under flexural loading. For this last case, influences of anchoring efficiency and positioning of the reinforcement within the narrow cross-section are directly simulated. Envisaged applications to other thin structural elements, including those containing textile reinforcement, are described.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"314 ","pages":"Article 113321"},"PeriodicalIF":3.4,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143592131","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Size-dependent dynamic response of microstructured elastic substrate under moving loads","authors":"Wipavee Wongviboonsin ,&nbsp;Panos A. Gourgiotis ,&nbsp;Jaroon Rungamornrat","doi":"10.1016/j.ijsolstr.2025.113323","DOIUrl":"10.1016/j.ijsolstr.2025.113323","url":null,"abstract":"<div><div>This study examines the dynamical response of a plane strain isotropic elastic gradient half-plane and a layer resting on a rigid foundation when subjected to a steady-state moving surface load. In the framework of the Mindlin’s Form III gradient theory, the displacement general solutions and associated stress fields are derived through Fourier transforms and Galilean transformation. The formulation incorporates also micro-inertia effects. The investigation is confined to load velocities within the sub-Rayleigh regime. Simulations of the moving load problem in gradient elasticity show significant deviations from lower-grade theories. For layered materials, four possible substrate interface conditions are considered which significantly impact the stress distributions throughout the medium. The maximum normal traction approaches infinity near the Rayleigh speed limit, though a slight decrease is sometimes observed just before reaching this velocity.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113323"},"PeriodicalIF":3.4,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143786001","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}