International Journal of Solids and Structures最新文献

{"title":"Bending and vibration analyses of functionally graded auxetic doubly curved shells via dual mesh control domain model","authors":"Zeyu Jiao ,&nbsp;Shaoyu Zhao ,&nbsp;Guannan Wang ,&nbsp;Rongqiao Xu ,&nbsp;Jie Yang","doi":"10.1016/j.ijsolstr.2025.113526","DOIUrl":"10.1016/j.ijsolstr.2025.113526","url":null,"abstract":"<div><div>This paper presents a novel dual mesh control domain (DMCD) model for the static bending and free vibration analysis of functionally graded (FG) graphene origami (GOri)-enabled auxetic metamaterial (GOEAM) doubly curved shells within the framework of the first-order shear deformation theory and modified Sanders assumptions. The shell consists of multilayered GOEAMs where the GOri content varies across the shell thickness in a layer-wise manner, leading to graded variations in auxetic and other material properties. Genetic programming (GP)-assisted micromechanical models are employed to estimate the material properties, including Poisson’s ratio, Young’s modulus, coefficient of thermal expansion (CTE), and mass density of the GOEAM in each layer. Governing equations are derived by the principle of virtual work and numerically solved using the dual mesh control domain method (DMCDM). The accuracy and convergence of the DMCD model are first verified, followed by a systematic investigation of the effects of GOri content, folding degree, temperature, and length-to-thickness ratio on the bending deflection, normal stress and fundamental frequency of FG-GOEAM doubly curved shells. The numerical results provide valuable insights for designing FG-GOEAM doubly curve shells in aerospace engineering with tunable negative Poisson’s ratio and enhanced mechanical properties.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113526"},"PeriodicalIF":3.4,"publicationDate":"2025-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144331294","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":"Local formability and bendability of UHSS: Correlations between bending and tensile fracture strains","authors":"Aki-Petteri Pokka ,&nbsp;Vili Kesti ,&nbsp;Antti Kaijalainen","doi":"10.1016/j.ijsolstr.2025.113524","DOIUrl":"10.1016/j.ijsolstr.2025.113524","url":null,"abstract":"<div><div>This study investigates the correlation between bendability and local formability properties of six ultra-high strength steel (UHSS) grades using small radius air-bending tests, uniaxial tensile tests, and plane-strain tensile tests with grooved specimens. Digital image correlation (DIC) was employed to measure surface strains, while post-mortem thickness measurements provided through-thickness strain data from the tensile tests. A novel strain-based method was used for bending fracture detection, offering improved accuracy over conventional methods such as the load drop thresholds defined in the VDA 238-100 specification. The bending fracture strain showed a moderate correlation (R² = 0.73) with the plane-strain tensile fracture thickness strain. In contrast, correlations between bending fracture strain and uniaxial tensile fracture measures were weak (R² = 0.38–0.53). No clear relationships were found between bending fracture strain and conventional tensile parameters such as total elongation or strain hardening exponent. The findings of this paper highlight the complexities in predicting bendability from tensile measures due to stress state differences and underscore the importance of bending tests for accurate characterization of sheet metal formability.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113524"},"PeriodicalIF":3.4,"publicationDate":"2025-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144331285","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":"Assessment of crystal-plasticity simulation: Plastic behaviors in biaxial stress states and cylindrical deep drawing","authors":"Kengo Yoshida ,&nbsp;Aoi Ota ,&nbsp;Takayuki Hama","doi":"10.1016/j.ijsolstr.2025.113521","DOIUrl":"10.1016/j.ijsolstr.2025.113521","url":null,"abstract":"<div><div>This study investigates the predictive accuracy of a crystal-plasticity finite-element method for plastic behavior in uniaxial and biaxial stress states as well as the cup height and limiting drawing ratio (LDR) in cylindrical deep drawing. The <em>R</em> value, which is the ratio of width-to-thickness plastic strains, significantly affects the cup height, while the flow stresses in the plane-strain tension and tensile–compression combined stress states determine the LDR. Experiments and crystal-plasticity simulations of uniaxial tension and various biaxial stress tests are conducted. Custom-designed antibuckling plates are used to simultaneously apply tension and compression to sheet specimens. The crystal-plasticity simulation accurately predicts the <em>R</em> values and the flow stresses for the plane-strain tension and tension–compression biaxial stress states when the strain was less than 0.05. In the cylindrical deep drawing simulations, cups are safely drawn when the drawing ratio ranges from 1.8 to 2.0, and the strain localization is predicted at the bottom of the cup wall when the draw ratio is 2.1 or higher. Both the experiments and simulations yield an LDR of 2.0. When the drawing ratio is between 1.8 and 2.0, the predicted cup heights agree with the experimental results. Therefore, the crystal-plasticity simulation accurately predicts the mechanical properties of the specimen as well as the cup height and LDR in cylindrical deep drawing. Although the crystal-plasticity model predicts the LDR accurately, it overestimates the formability. In the large-strain range, the crystal-plasticity model overestimates the work hardening and predicts the higher formability. We found that the anisotropic hardening in the large-strain range is crucial to further improve the accuracy of crystal-plasticity simulations.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113521"},"PeriodicalIF":3.4,"publicationDate":"2025-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144365726","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":"Probing the origin of surface defects in large strain deformation processes","authors":"Deepika Gupta,&nbsp;Vineet Dawara,&nbsp;Koushik Viswanathan","doi":"10.1016/j.ijsolstr.2025.113464","DOIUrl":"10.1016/j.ijsolstr.2025.113464","url":null,"abstract":"<div><div>Surface quality is the direct result of tribological interactions accompanying large-strain deformation processes such as cutting or machining. Surface topography and mechanical properties are strongly influenced by near-tool-tip deformation mechanisms that govern defect formation and residual strain distribution. In this work, we investigate these phenomena using an <em>in situ</em> imaging framework of a prototypical surface generation process, analyzed using a recently developed image correlation method termed Ensemble Averaged Digital Image Correlation (EADIC). This approach enables high-resolution analysis of strain fields near tribological contacts and free surfaces. Kinematic analysis near the tool tip reveals that deformation progresses through three distinct stages: material pinning at the tool tip, internal shear leading to dead zone formation, and subsequent dead zone growth. Correspondingly, three types of surface defects are classified—type 1 defects lacking a specific morphological profile are associated with material pinning, type 2 defects characterized by step-like profiles arise from partial dead zone shearing, and type 3 defects with pronounced steps are formed during complete shearing of dead zones till tool tip. The evolution of these defects is tied to transient stages of near-tip deformation. Investigations reveal that transient force signature during cut can serve as probable indicators of defect type. The experiments also allow us to quantify residual strain near the machined surface, confined to a fraction of the cutting depth, with defects exhibiting elevated strain due to separation from the dead zone. These findings directly link transient deformation dynamics to surface quality, providing a framework for optimizing machining processes to reduce defects and improve performance.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113464"},"PeriodicalIF":3.4,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144320924","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":"Thick-panel origami-inspired deployable pyramids","authors":"Xiaozhao Zhang,&nbsp;Wujun Chen","doi":"10.1016/j.ijsolstr.2025.113519","DOIUrl":"10.1016/j.ijsolstr.2025.113519","url":null,"abstract":"<div><div>For specific satellites, it’s undesirable to be detected by other entities during mission execution. The Radar-Cross-Section (RCS) of pyramidal configurations is remarkably low, implying that they are difficult to be detected by radar, which suggests deployable pyramids of great potential for satellite applications. This article introduces two versatile methods for folding pyramids using thick-panel origami. The first approach emphasizes the addition of auxiliary panels to enhance the connection between adjacent slanted panels, enabling single-degree-of-freedom motion. With the inclusion of auxiliary panels, each corner unit comprises five components, resembling the construction of the Myard mechanism. The unfolding processes of multiple pyramids are demonstrated, along with the potential application of a reconfigurable spacecraft. The second method involves modifying the slanted panels and combining two mirrored slanted panels into one basic unit. Connecting the ends of multiple basic units enables the folding of pyramids. The degrees of freedom of quadrangular pyramids, hexagonal pyramids, and octagonal pyramids at non-singular points are solved to be one, one, and two, respectively. Furthermore, analytical solutions for the motion equations of the three cases are derived, and their complete motion processes are demonstrated. Finally, a potential application case of the second proposed scheme is presented.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113519"},"PeriodicalIF":3.4,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144307876","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":"Design of hard-magnetic soft laminated composites for wide longitudinal wave band gaps using topology optimization","authors":"Zeeshan Alam ,&nbsp;Atul Kumar Sharma ,&nbsp;Vineeth P. Ramachandran","doi":"10.1016/j.ijsolstr.2025.113493","DOIUrl":"10.1016/j.ijsolstr.2025.113493","url":null,"abstract":"<div><div>As a class of soft active materials, hard-magnetic soft materials (HMSMs) exhibit rapid, reversible deformations, high remanence, and the ability to alter their instantaneous moduli in response to applied magnetic fields. These properties make periodic laminated composites of HMSMs promising candidates for phononic crystals (PnCs), which can exhibit tunable band gaps – frequency ranges in which elastic or acoustic waves are prohibited – by manipulating magnetic fields. PnCs with broad and adjustable band gaps are highly desirable for applications such as elastic/acoustic filters, waveguides, noise reduction, sensors, and acoustic cloaking devices. To improve the performance of magnetically actuated laminated PnCs composed of HMSMs, a gradient-based topology optimization framework is proposed to maximize the longitudinal elastic wave band gap width. The optimization employs a nonlinear, hyperelastic, compressible Gent material model to describe the constitutive behavior of the composite phases. For band gap extraction, an in-house finite element model is used, where the properties of each finite element are treated as design variables in the topology optimization process. An analytical sensitivity calculation is performed to compute the gradient of the band gap maximization function. A parametric study demonstrates the effectiveness of the model by examining the influence of the external magnetic field on the optimized band gap characteristics and unit cell design of the periodic laminated composite. This optimization framework provides valuable insights for the design of advanced, remotely controlled wave manipulation devices.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113493"},"PeriodicalIF":3.4,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144298726","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":"Lost in homogenisation: Navigating the challenges of predicting ideal behaviour in inhomogeneous porous structures","authors":"Markus Wagner ,&nbsp;Sebastian Wurm ,&nbsp;Georg Baumann ,&nbsp;Tiina Nypelö ,&nbsp;Florian Feist","doi":"10.1016/j.ijsolstr.2025.113522","DOIUrl":"10.1016/j.ijsolstr.2025.113522","url":null,"abstract":"<div><div>We introduce a novel <em>meta</em>-modelling approach coupled with a four-part piecewise constitutive model to predict the compressive behaviour of homogeneous foams using data from inhomogeneous specimens. This method estimates individual density layer responses within the foam, enabling the prediction of compression behaviour for ideal density configurations. Validated through cellulose pulp fibre foam experiments utilising Digital Image Correlation (DIC) analysis and finite element simulations of synthetic expanded polystyrene (EPS) foam, our <em>meta</em>-model effectively derives material properties from imperfect foams of varying densities, while accounting for errors induced by density variations. It accurately captures foam material response from initial compression through densification. Our approach offers significant advantages for optimising foam structures without costly commercial software or ideal specimens, bridging the gap between real-world materials and idealised models. While initially designed for cellulose pulp fibre foams, this model shows broad potential for evaluating various foams with density variations, including both sustainable and non-sustainable materials.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113522"},"PeriodicalIF":3.4,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144298725","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":"Customized design of periodic metacushion with quasi-zero-stiffness for low-frequency vibration isolation","authors":"Chao Ma ,&nbsp;Kun Wu ,&nbsp;Yan-Feng Wang ,&nbsp;Yue-Sheng Wang","doi":"10.1016/j.ijsolstr.2025.113518","DOIUrl":"10.1016/j.ijsolstr.2025.113518","url":null,"abstract":"<div><div>This paper develops an inverse design approach for periodic metamaterial with quasi-zero-stiffness (QZS) based on topology optimization. The customized design of QZS metacushion is realized with prescribed structure size and porosity factor. Finite element simulations (FEM) are performed on the optimized topological configuration while experiments are conducted on the fabricated periodic metacushion. Good agreement of force–displacement curves between two methods confirms the QZS feature in the quasi-static test. Vibration simulations and experiments validate the ability of periodic QZS metacushion on low-frequency vibration isolation. Moreover, the load-bearing capacity rises proportionally while the vibration isolation frequency drops with an increase of cell number in periodicity. In vibration tests, the deviation of objective payload significantly increases equivalent dynamic stiffness of metacushion, thus reducing the effect of vibration isolation in low-frequency ranges. In particular, the employment of periodic boundary in topology design results in lower frequency of vibration isolation as well as stronger robustness under non-uniform load, in comparison with free boundary. This work may provide an alternative approach for full-band vibration attenuation through the customized design of periodic QZS metacushion.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113518"},"PeriodicalIF":3.4,"publicationDate":"2025-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144470895","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 comprehensive multiscale model for elucidating strain-dependent piezoresistive behavior of porous MWCNTs/polymer nanocomposites","authors":"Zefu Li ,&nbsp;Yonglin Chen ,&nbsp;Peng Wang ,&nbsp;Xiaodong Xia ,&nbsp;Wenbin Kang ,&nbsp;Weidong Yang","doi":"10.1016/j.ijsolstr.2025.113516","DOIUrl":"10.1016/j.ijsolstr.2025.113516","url":null,"abstract":"<div><div>Carbon-based nanocomposites sensors are well known to possess excellent electrical conductivity and strain sensing capabilities, widely used for structural health monitoring, wearable flexible electronics, and biomedical applications fields. Such sensing capabilities originate from the electromechanical behaviors of sensitive nanocomposites, which can be designed with enhanced piezoresistive performances by constructing microstructures such as porous structures. However, it remains a challenge to establish an efficient homogenized electromechanical model to elucidate the piezoresistive behavior of porous microstructured nanocomposites. Herein, we developed a multiscale homogenization method for piezoresistive behavior of porous MWCNTs/polymer nanocomposites. For the specific three-phase inclusion problem, we consider the influences of pores, MWCNTs agglomerates, and volume fractions of porosities and MWCNTs fillers in nanocomposites to predict effective electrical conductivity affected by the volume fraction of MWCNTs fillers and loadings. We first utilized the Mori-Tanaka method (MTM) considering porosity and dynamic far-field matching approach to obtain equivalent mechanical moduli and effective electrical conductivities, and then leverage strain-dependent tunneling distances to achieve the coupling of mechanical and electrical constitutive relationships. Furthermore, we introduced a spring layer to model the imperfect bonding between carbon-based fillers and polymer matrix, incorporating the impact of interfaces on both elastic and electrical properties of nanocomposites. Consequently, the coupling influences of MWCNTs volume fractions, strain loadings, interface, agglomerates, and porosities on piezoresistive behaviors of porous MWCNTs/polymer nanocomposites were studied in details. Finally, this present theoretical model can offer guidance of customized designing carbon-based microstructured nanocomposites sensory systems.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113516"},"PeriodicalIF":3.4,"publicationDate":"2025-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144279293","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 multi-objective gradient-based approach for prestress and size optimization of cable domes","authors":"Nicolò Pollini","doi":"10.1016/j.ijsolstr.2025.113476","DOIUrl":"10.1016/j.ijsolstr.2025.113476","url":null,"abstract":"<div><div>Cable domes represent a class of lightweight structures characterized by their significant aesthetic and architectural impact. Widely adopted for large-span roofing applications, such as arenas and stadiums, these structures may exhibit internal mechanisms that compromise their serviceability and load-bearing capacity. However, a state of self-equilibrated initial prestress can effectively stiffen these internal mechanisms, transforming an unserviceable structure into a serviceable one. Optimizing the prestress and size of cable domes is a challenging task, since these quantities affect the elastic and geometric stiffnesses of the structure. Structural weight and displacements are antagonist performance objectives, and their simultaneous optimization with constraints on the internal forces is a non-intuitive engineering problem. In the literature, so far multi-objective optimization studies for cable domes have relied only on gradient-free methods. This paper presents a novel gradient-based approach for the automated multi-objective optimization of cable domes, where the structural weight and displacements are simultaneously optimized. Constraints are imposed on the tension and compression forces in the cables and struts of the structures considered. The resulting multi-objective optimization problem is solved with a gradient-based approach based on sequential linear programming. The gradients of the objective and constraint functions are consistently calculated with adjoint sensitivity analyses. The proposed approach is assessed through reproducible numerical examples of design optimization of cable domes. The results show that the Pareto fronts of the problems considered are effectively computed with modest computational effort. The results are also in good agreement with those obtained with a genetic algorithm.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113476"},"PeriodicalIF":3.4,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144271414","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}