International Journal of Solids and Structures最新文献

{"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}

{"title":"Polyconvex physics-augmented neural network constitutive models in principal stretches","authors":"Adrian Buganza Tepole ,&nbsp;Asghar Arshad Jadoon ,&nbsp;Manuel Rausch ,&nbsp;Jan Niklas Fuhg","doi":"10.1016/j.ijsolstr.2025.113469","DOIUrl":"10.1016/j.ijsolstr.2025.113469","url":null,"abstract":"<div><div>Accurate constitutive models of soft materials are crucial for understanding their mechanical behavior and ensuring reliable predictions in the design process. To this end, scientific machine learning research has produced flexible and general material model architectures that can capture the behavior of a wide range of materials, reducing the need for expert-constructed closed-form models. The focus has gradually shifted towards embedding physical constraints in the network architecture to regularize these over-parameterized models. Two popular approaches are input convex neural networks (ICNN) and neural ordinary differential equations (NODE). A related alternative has been the generalization of closed-form models, such as sparse regression from a large library. Remarkably, all prior work using ICNN or NODE uses the invariants of the Cauchy–Green tensor and none uses the principal stretches. In this work, we construct general polyconvex functions of the principal stretches in a physics-aware deep-learning framework and offer insights and comparisons to invariant-based formulations. The framework is based on recent developments to characterize polyconvex functions in terms of convex functions of the right stretch tensor <span><math><mi>U</mi></math></span>, its cofactor <span><math><mrow><mtext>cof</mtext><mi>U</mi></mrow></math></span>, and its determinant <span><math><mi>J</mi></math></span>. Any convex function of a symmetric second-order tensor can be described with a convex and symmetric function of its eigenvalues. Thus, we first describe convex functions of <span><math><mi>U</mi></math></span> and <span><math><mrow><mtext>cof</mtext><mi>U</mi></mrow></math></span> in terms of their respective eigenvalues using deep Holder sets composed with ICNN functions. A third ICNN takes as input <span><math><mi>J</mi></math></span> and the two convex functions of <span><math><mi>U</mi></math></span> and <span><math><mrow><mtext>cof</mtext><mi>U</mi></mrow></math></span>, and returns the strain energy as output. The ability of the model to capture arbitrary materials is demonstrated using synthetic and experimental data.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113469"},"PeriodicalIF":3.4,"publicationDate":"2025-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144271413","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 microstructure based multiscale model for diffusion in fibre reinforced polymers","authors":"Benjamin Collard ,&nbsp;Finn Giuliani ,&nbsp;Gerwin Ingenbleek ,&nbsp;Guy Verbist ,&nbsp;Daniele Dini","doi":"10.1016/j.ijsolstr.2025.113448","DOIUrl":"10.1016/j.ijsolstr.2025.113448","url":null,"abstract":"<div><div>Fluid absorption leading to hygrothermal ageing is a significant degradation mechanism for glass and carbon fibre reinforced polymers across a range of applications. Understanding the fluid absorption process is therefore critical to both selecting the optimal material for a particular application and predicting its lifetime in a given environment. Experiments indicate that the interface between the fibre and matrix plays an important role in the fluid absorption process. However, no existing model adequately explains the influence of such interfaces on lab scale fluid absorption behaviours. A micromechanical representative volume element model has therefore been formulated here to investigate the effect of the interface on lab scale fluid absorption. The model is then applied to an anisotropic model for a lab scale sample, yielding realistic agreement with experiments. The anomalous two stage diffusion behaviour is discussed and explained in the context of the microscale model. Finally, a link with interfacial failure during the diffusion process is discussed, giving insight into how interfaces could be better designed and the composite lifetime extended.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113448"},"PeriodicalIF":3.4,"publicationDate":"2025-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144261638","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":"Inverse design of tubular energy absorbers formed from the least-symmetric crystallographic DDC surface","authors":"Chenhao Lu ,&nbsp;Yao Chen ,&nbsp;Jiayao Shi ,&nbsp;Jiangjun Gao ,&nbsp;Hengzhu Lv ,&nbsp;Zhengliang Shen ,&nbsp;Pooya Sareh","doi":"10.1016/j.ijsolstr.2025.113508","DOIUrl":"10.1016/j.ijsolstr.2025.113508","url":null,"abstract":"<div><div>Thin-walled origami tubes are distinguished by their superior energy-absorption capacity during axial crushing, a property largely attributed to their intricate crease patterns. To develop optimized tubes for enhanced energy-absorption performance, we propose a strategy for the inverse design of tubular energy absorbers formed from the least-symmetric crystallographic developable double-corrugation (LSDDC) surface. To this end, first, the phase space of all flat-foldable configurations is systematically mapped based on the kinematics of the LSDDC surface. To account for the various transformations of unit fragments into origami structures, constraint equations are derived based on the inherent geometry of enclosed structures. The solution space for various configurations is delineated using both traversal techniques and the particle swarm optimization (PSO) method. A comparative performance analysis is conducted among the proposed LSDDC tube and two conventional tubes: the isosceles trapezoidal origami bellow (ITOB) tube and the arc-Miura-ori (AMO) tube. Both the AMO and LSDDC tubes demonstrate superior energy-absorption performance compared to the ITOB tube. The choice between the AMO and LSDDC tubes can be made based on specific application requirements. While the AMO tube exhibits a slightly higher mean crushing force than the LSDDC tube, the LSDDC tube possesses a substantially higher crushing force efficiency than the AMO tube. Finally, we present the inverse design process, which identifies the optimal input parameters for energy absorption. This framework enables the transformation of diverse crease patterns into various origami structures with enhanced energy absorption, broadening their applicability and revitalizing the potential of origami-inspired designs.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113508"},"PeriodicalIF":3.4,"publicationDate":"2025-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144480488","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":"Tunable prestressed metamaterials: Mimicking Poisson’s ratio through geometric stiffness","authors":"Yue Guan","doi":"10.1016/j.ijsolstr.2025.113477","DOIUrl":"10.1016/j.ijsolstr.2025.113477","url":null,"abstract":"<div><div>Conventional mechanical metamaterial typically locks its material properties, including the Poisson’s ratio, to a particular shape of the cell structures. Here we integrate traditional shape-determined auxetic metamaterials with prestressed states, developing metamaterials with identical shapes but varied or even opposite Poisson’s ratios. Motivated by the use of geometric stiffness in slender components to mimic the elastic response of planar components, we propose an equivalent planar element and equivalent constitutive matrix for lattice structures derived from the weak form of governing equations. This equivalent constitutive matrix integrates both the contribution of component rotation and prestress. Equivalent Poisson’s ratios for individual slender components and commonly employed frames, with or without prestress, are exhibited. Guided by this approach, we design both isotropic and quasi-anisotropic metamaterials constructed from prestressed, self-equilibrated lattice cell structures. These materials, possessing identical configurations, present varying or even opposing Poisson’s ratios, consistent with the predictions made by the equivalent constitutive matrices. This influence of pre-stress on the material’s Poisson’s ratio is confirmed through numerical simulations and supported by experimental proof-of-concept.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113477"},"PeriodicalIF":3.4,"publicationDate":"2025-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144261639","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":"Shear stress modification of the Bland-Ford cold rolling force model","authors":"Changsheng Li,&nbsp;Yafei Chen,&nbsp;Pingjie Feng,&nbsp;Jihan Zhou,&nbsp;Lianggui Peng","doi":"10.1016/j.ijsolstr.2025.113509","DOIUrl":"10.1016/j.ijsolstr.2025.113509","url":null,"abstract":"<div><div>Rolling force is a critical parameter in the control of the cold tandem rolling process, significantly impacting both thickness control accuracy and flatness control accuracy. The Bland-Ford model is currently the most widely used rolling force model in cold continuous rolling. However, this model uses the principal stress yield criterion and neglects the influence of shear stress, leading to increased calculation errors as the strip thickness decreases. This study proposes using the Mises yield criterion, which considers shear stress, to modify and reconstruct the Bland-Ford normal pressure model and rolling force model. The comparison of the normal pressure values before and after modification shows that the classic Bland-Ford normal pressure model, due to its neglect of shear stress, results in overestimated normal pressure values, with the maximum deviation occurring at the neutral angle. As the rolling thickness decreases and the reduction and friction coefficient increase, the calculation deviation also increases. Based on measured data from a 1340 mm four-stand cold rolling mill, the rolling forces of the final stand for different specifications and steel grades were calculated. The results indicate that the modified Bland-Ford rolling force model yields results almost identical to the classic Bland-Ford model for thick specifications (exit thickness &gt;1 mm). However, for thin specifications (exit thickness ≤1 mm), the overall calculation accuracy can be improved by up to 1.87 %.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113509"},"PeriodicalIF":3.4,"publicationDate":"2025-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144279222","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 unified thermo-poro-elastoplastic theory for natural gas hydrate dissociation","authors":"Li Zhang ,&nbsp;Bisheng Wu ,&nbsp;Qingping Li ,&nbsp;Ranjith P. Gamage ,&nbsp;Praveen Linga ,&nbsp;Yuxin Jie ,&nbsp;Kaixiang Shen ,&nbsp;Jiawei Zhou","doi":"10.1016/j.ijsolstr.2025.113510","DOIUrl":"10.1016/j.ijsolstr.2025.113510","url":null,"abstract":"<div><div>A good understanding of the mechanical behaviour of hydrate-bearing sediment (HBS) during hydrate extraction requires a proper theory describing the constitutive relationship between the deformation and stress of HBS during hydrate dissociation. In this paper, an improved, comprehensive thermo-poroelastoplastic theory, including the mass conservation, momentum balance, the kinetic energy theorem, the first and second laws of thermodynamics, Clausius-Duhem inequality, energy conservation, and poroelastic and elastoplastic models during hydrate dissociation, is derived based on the fundamental principles of thermodynamics. Then, a fully coupled thermo-hydro-mechanical-chemical model that accounts for multiphase flow, heat transfer, phase change and elastoplastic deformation during NGH dissociation, is developed based on the theory. The mechanical behavior of HBS at the SH7 site in the Shenhu Sea area is predicted. The results show that the NGH dissociation rate peaks at 5.77 kg/d/m initially, then decreases by (−3.45 × 10^-3 <em>t</em> (d) + 1.223) kg/m/d during 1 ∼ 200 days and subsequently enters a stable period with a rate of about 1.10 kg/d/m. The gas production ratio progressively increases with time and can reach 59.3 % at 1000 days. The vertical displacement in the region above the wellbore is significantly greater than below it, with a maximum of 0.04 m at 1000 days, while the maximum vertical effective normal stress is observed in the region above the wellbore and could reach 8.95 MPa, respectively. The maximum horizontal displacement and horizontal effective normal stress are observed in the region on the right side of the wellbore, reaching 0.032 m and 4.15 MPa, respectively, at 1000 days.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"321 ","pages":"Article 113510"},"PeriodicalIF":3.4,"publicationDate":"2025-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144571357","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}