International Journal of Solids and Structures最新文献

{"title":"Mechanical properties of 3D printing metal cells: A combined homogenization and machine learning study","authors":"Anna Stepashkina ,&nbsp;Ying Ruan ,&nbsp;Liming Ma ,&nbsp;Wentao Tao ,&nbsp;Dan Zhou ,&nbsp;Chao Ding ,&nbsp;Lipeng Chen","doi":"10.1016/j.ijsolstr.2025.113623","DOIUrl":"10.1016/j.ijsolstr.2025.113623","url":null,"abstract":"<div><div>A key challenge in additive manufacturing is the computational design of porous materials to optimize the mechanical performance of alloy-based components. We present an algorithmic framework for generating unit cells with truss-, plate-, shell-, tube-, and TPMS-based geometries, along with a method for calculating their mechanical properties. These properties were determined through numerical homogenization using the finite element method and validated against experimental measurements for lattice structures. Leveraging this dataset, we trained a convolutional neural network to predict stress–strain curves with high accuracy, achieving a mean absolute percentage error of less than 13%. Our approach established a robust pipeline bridging computational design and experimental realization for 3D-printed porous metamaterials.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"322 ","pages":"Article 113623"},"PeriodicalIF":3.8,"publicationDate":"2025-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144902187","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":"Progressive homogenization and damage modelling of a fibre reinforced composite with a viscoplastic matrix","authors":"Harini Subramanian ,&nbsp;Shantanu S. Mulay","doi":"10.1016/j.ijsolstr.2025.113614","DOIUrl":"10.1016/j.ijsolstr.2025.113614","url":null,"abstract":"<div><div>The present work proposes a novel approach to perform the progressive computational homogenization and internal damage modelling in a fibre reinforced lamina combined with a separate viscoplastic matrix layer. The proposed formulation is especially useful in the matrix-dominated loading cases, where the viscoplastic strain plays an important role in the computation of homogenized stress field. The layer volume fractions of lamina and pure matrix are first computed, and the macro-scale (homogenized) tangent modulus expression is proposed, incorporating the degradation in lamina and matrix layers, employing Voigt approximation. The applicability of the homogenized tangent modulus is subsequently demonstrated by implementing it in an <em>in-house</em> developed non-linear finite element framework while solving several boundary value problems. It is also demonstrated that, the presented approach can be extended to any layered media having different constitutive responses and inelastic strain.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"322 ","pages":"Article 113614"},"PeriodicalIF":3.8,"publicationDate":"2025-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144903426","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 crack density analytical model for multidirectional composite laminates under biaxial stress at cryogenic temperature","authors":"Panding Wang ,&nbsp;Yingxue Bai ,&nbsp;Yuanchen Li ,&nbsp;Zeang Zhao ,&nbsp;Shengyu Duan ,&nbsp;Hongshuai Lei","doi":"10.1016/j.ijsolstr.2025.113629","DOIUrl":"10.1016/j.ijsolstr.2025.113629","url":null,"abstract":"<div><div>Fiber-reinforced polymer composite tanks for cryogenic energy storage are subjected to biaxial loading at low temperatures, which leads to the formation of matrix cracks. The density of these cracks plays a critical role in determining both the load-bearing capacity and leakage resistance of the tank structure. Most previous theoretical studies have focused only on the crack density of cross-ply laminates under uniaxial loading, neglecting the complexities of multidirectional laminates. This study develops a crack density prediction model for multidirectional laminates, accounting for adjacent ply constraints, biaxial stress conditions, and thermal residual stresses, using two-dimensional shear lag theory and an equivalent constraint model. The crack density of various layers under uniaxial and biaxial stresses at different temperatures is predicted. The effects of lay-up configuration, ply thickness, and material properties on the evolution of crack density are examined. Results show that crack density increases with rising biaxiality ratios or decreasing temperatures. The in-plane transverse stress distribution within the ply governs crack formation. While the 45° ply shows a lower crack density than the 90° ply under identical stresses, it displays greater sensitivity to biaxial loading. At 1% axial strain, crack density rises 126% in the 45° layer and 38% in the 90° layer under 1:1 biaxial versus uniaxial loading. The theoretical predictions align closely with numerical simulations and experimental measurements across different laminate configurations and stress conditions. This work offers a theoretical foundation for improving the mechanical performance and leakage resistance of composite cryogenic storage systems.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"323 ","pages":"Article 113629"},"PeriodicalIF":3.8,"publicationDate":"2025-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144921879","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":"Failure modes of irregular ceramic foam under compression: Development of a new image based strut segmentation strategy","authors":"Vinit Vijay Deshpande ,&nbsp;Romana Piat","doi":"10.1016/j.ijsolstr.2025.113626","DOIUrl":"10.1016/j.ijsolstr.2025.113626","url":null,"abstract":"<div><div>The work investigates the failure modes of microstructure of an irregular ceramic foam subjected to uniaxial compression loading. The foam material is manufactured using direct foaming method and has polydispersed pores homogeneously distributed in the microstructure. The effective stress–strain curve and the macroscopic strength of the material differs significantly from the predictions of the Gibson-Ashby model which assumes regular microstructure. The objective of this work is to determine the reasons. The work builds upon an image segmentation algorithm that utilizes skeletonization method followed by geometric pruning strategies to isolate the struts in the foam microstructure. In this work, a novel pruning strategy defined by a physics-based significance measure is proposed which identifies the struts whose failure leads to macroscopic failure of the material. The stresses in the struts are calculated by a finite element simulation which are then utilized to determine their failure modes. This also reveals the relationship between the struts’ orientation and their failure modes. The energy dissipated by the individual failure modes as the loading is increased shows that there are two dominant modes which are different from the tension/ simple bending failure reported in the Gibson-Ashby model. These failure modes are anti-symmetric double bending and compression.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"323 ","pages":"Article 113626"},"PeriodicalIF":3.8,"publicationDate":"2025-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144997256","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":"Thrust layouts in masonry gravity structures","authors":"K. Isuru U. Nanayakkara ,&nbsp;Andrew Liew ,&nbsp;Matthew Gilbert","doi":"10.1016/j.ijsolstr.2025.113593","DOIUrl":"10.1016/j.ijsolstr.2025.113593","url":null,"abstract":"<div><div>Heyman’s ‘safe theorem’ is widely used to assess the safety of masonry gravity structures. In its original incarnation, a funicular thrust line — i.e., a hanging chain — was used to represent a possible flow of forces through a structure, though this was later found to be problematic in some cases. Following the work of Moseley, a line of resistance has also been used as a representation of a thrust line. However, although this provides a valid representation of equilibrium, it does not facilitate clear visualization of a flow of forces within a structure, making it less intuitive than a funicular thrust line. To address shortcomings associated with funicular thrust lines, the notion of a ‘thrust layout’ is also considered here. This can accurately represent a state of equilibrium while also enabling visualization of the flow of forces. Thrust layouts also allow explicit consideration of the tensile forces that can (or cannot) be reasonably sustained in a masonry construction, such as within constituent blocks but not across weak joints.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"323 ","pages":"Article 113593"},"PeriodicalIF":3.8,"publicationDate":"2025-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144989103","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":"Preface: Thematic session SM12 on Plasticity, Viscoplasticity and Creep of the 26th International Congress of Theoretical and Applied Mechanics (ICTAM2024)","authors":"Lorenzo Bardella,&nbsp;Henrik M. Jensen","doi":"10.1016/j.ijsolstr.2025.113624","DOIUrl":"10.1016/j.ijsolstr.2025.113624","url":null,"abstract":"","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"322 ","pages":"Article 113624"},"PeriodicalIF":3.8,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144996608","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 new deformation-based unified theory with analytical solutions for three-dimensional thermal stresses in composite plates","authors":"Chen Liang ,&nbsp;Guifeng Wang ,&nbsp;C.W. Lim","doi":"10.1016/j.ijsolstr.2025.113625","DOIUrl":"10.1016/j.ijsolstr.2025.113625","url":null,"abstract":"<div><div>The primary aim of this present study is to derive analytical solutions for three-dimensional (3D) thermal stresses in composite plates. In pursuit of this goal, an innovative deformation-based unified theory (DUT) for composite plates is developed. This theory incorporates four unknown displacement components, with each elucidated by well-defined physical elasticity causes and effects. The in-depth analyses of transverse bending and shear deformation and basic assumptions of plate structures lead to the introduction of a higher-order displacement component, in addition to three conventional displacement components at a point on the reference plane. Featuring a novel displacement component, DUT overcomes the thickness locking mechanism (TLM) by improving inherent kinematic assumptions in the traditional plate theories, thereby laying a firm theoretical foundation for the excellent studies of transverse normal displacements, strains, stresses, thermal stresses and thermal strains. Grounded in objective reasoning and derivation of fundamental assumptions, DUT enables the introduction of thickness and modified functions in the form of general mathematical expressions. This flexibility in selecting thickness and modified functions allows the theory and analytical model to be simplified and transformed to any existing plate theories, such as the classical plate theory (CPT), first-order shear deformation theory (FSDT), and third-order shear deformation theory (TSDT). Additionally, a novel method for determining the thermal strain energy associated with 3D thermal stresses in composite plates is formulated by introducing Green’s nonlinear normal strain, aiming to accurately capture the effects of thermal expansion. Analytical solutions for 3D thermal stresses in composite plates are established by applying Hamilton’s principle. Comprehensive numerical analysis and verification of different plate theories are carried out within the scope of DUT. The general and innovative analysis for modeling and investigating the thermo-mechanical coupling response of composite plates subjected to 3D thermal stresses is characterized by the presence of clarity, unity, elegance, and effectiveness, thus establishing a noteworthy advancement to the theory of plates.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"323 ","pages":"Article 113625"},"PeriodicalIF":3.8,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144926575","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":"Hybrid homogenization neural networks for periodic composites","authors":"Qiang Chen ,&nbsp;Wenhui Zhao ,&nbsp;Ce Xiao ,&nbsp;Zhibo Yang ,&nbsp;George Chatzigeorgiou ,&nbsp;Fodil Meraghni ,&nbsp;Xuefeng Chen","doi":"10.1016/j.ijsolstr.2025.113622","DOIUrl":"10.1016/j.ijsolstr.2025.113622","url":null,"abstract":"<div><div>A new physics-informed deep homogenization neural network (DHN) framework is proposed to identify the homogenized and local behaviors in periodic heterogeneous microstructures. To achieve this, the displacement field is decomposed into averaged and fluctuating contributions, with the local unit cell solution obtained via neural networks subject to periodic boundary conditions. The periodic microstructures are divided into subdomains representing the fiber and matrix phases, respectively. A key contribution of the proposed method is the marriage of elasticity solution and physics-informed neural network to each phase of the composite, namely, the fiber phase as a mesh-free component whose fluctuating displacements are expanded using a discrete Fourier transform, and the matrix phase using material points with fluctuating displacements handled through fully connected neural network layers. The interfacial continuity conditions are enforced by minimizing the traction and displacement differences at separate material points along the interface. Transfer learning is exploited further to facilitate training new microstructures from pre-trained geometry. This hybrid formulation inherently satisfies stress equilibrium equations within the fiber, while efficiently handling the periodic boundary conditions of hexagonal and square unit cells via a series of trainable sinusoidal functions. The innovative use of distinct neural network architectures enables accurate and efficient predictions of displacement and stress when discontinuities are present in the solution fields across the interface. We validate the proposed DHN with the finite-element predictions for unidirectional composites comprised of elastic fiber significantly stiffer than the matrix, under various volume fractions and loading conditions.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"322 ","pages":"Article 113622"},"PeriodicalIF":3.8,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144917025","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":"On dental anatomy and the fracture resistance of maxillary premolar teeth","authors":"Herzl Chai","doi":"10.1016/j.ijsolstr.2025.113620","DOIUrl":"10.1016/j.ijsolstr.2025.113620","url":null,"abstract":"<div><div>The fracture resistance of intact or restored posterior teeth has been evaluated <em>in vitro</em> in numerous works. However, only little or no considerations are generally given to the effects of dental anatomy and indenter dimensions on the failure conditions. This work explores these concerns for intact maxillary premolar teeth loaded by circular rods placed at the central fossa. The rod radius <em>r</em> varies from 1.57 to 4.8 mm. The evolution of damage is observed <em>in situ</em> from the tooth surface while the interior damage is examined from tooth sections prepared after unloading. The failure conclusively occurred by edge chipping in the shorter of the two tooth cusps. The chipping crack initiates at the contact site and grows along the DEJ or close to it in the dentin before deviating to the free surface. The chipping force is bounded from below by a virtually constant value termed <em>P</em>_ch. This interesting outcome is facilitated by a predetermined interrelationship between the inclination angles of the short and tall cusps in the tooth. An approximate fracture mechanics analysis is developed that yields <em>P</em>_ch = <em>a</em>₀<em>d</em>_c^3/2, where <em>a</em>₀ is a constant and <em>d</em>_c is a measure of enamel thickness at the tip of the short cusp. Finally, the significance of <em>P</em>_ch to tooth resilience, <em>in vivo</em> mastication failure, and maximum bite force delivered to the tooth is discussed.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"322 ","pages":"Article 113620"},"PeriodicalIF":3.8,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144865829","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":"Coupled magneto-hyperelasticity-thermal behavior of magnetorheological elastomers: A physics-based model and experimental verification","authors":"Amin Saber,&nbsp;Ramin Sedaghati","doi":"10.1016/j.ijsolstr.2025.113615","DOIUrl":"10.1016/j.ijsolstr.2025.113615","url":null,"abstract":"<div><div>Recently, magnetorheological elastomers (MREs), known as a class of functional materials, have garnered considerable attention. MREs adapt their mechanical properties under external magnetic fields, positioning them as versatile materials for a range of engineering and biomedical applications. Therefore, accurately characterizing and modeling of their response under near-real-life conditions is of paramount importance. In this study, a physics-based model based on nonlinear continuum mechanics framework and total Helmholtz energy function has been formulated to predict the response of soft isotropic MREs under coupled magneto-hyperelasticity-thermal conditions. The deformation gradient, magnetic induction, and temperature are treated as independent variables in the proposed model. Additionally, the state of temperature and its gradient within the medium are examined to assess their influence on both the shear modulus and the total energy function. The Yeoh hyperelastic energy function is modified to incorporate magnetic and magneto-mechanical coupling effects, representing the isothermal component in the total Helmholtz energy function. In addition to the proposed mathematical model, a series of experimental tests are carried out to determine the material parameters and validate the accuracy of the developed model. The experimental results reveal that the fabricated MRE exhibits an increase in shear modulus in linear viscoelastic region with rising temperature. The model is subsequently utilized to study a boundary-value problem addressing a solid cylinder made of MRE subjected to torque-twist loading and under thermal boundary conditions. The effects of temperature and magnetic flux density on the response of the MRE cylinder, specifically torque–twist behavior, material stiffening, and strain softening, are subsequently examined and discussed.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"322 ","pages":"Article 113615"},"PeriodicalIF":3.8,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144892806","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}