International Journal of Solids and Structures最新文献

{"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":"Exact solutions of the Euler–Bernoulli equation for selected polynomially non-uniform beams used for acoustic black holes","authors":"Antonin Krpensky,&nbsp;Michal Bednarik","doi":"10.1016/j.ijsolstr.2025.113468","DOIUrl":"10.1016/j.ijsolstr.2025.113468","url":null,"abstract":"<div><div>In this work, we present a method for obtaining exact analytical solutions to the Euler–Bernoulli equation for nonuniform beams with continuously varying rectangular cross-sections. The approach is based on factorizing the fourth-order equation into a system of second-order differential equations with variable coefficients. Focusing on polynomial expressions for the cross-sectional profile, we show that such factorization is possible only when the profile is described by a polynomial of at most third order. In the general cubic case, the resulting equation transforms into Heun’s differential equation; in degenerate cases, it reduces to the hypergeometric or Bessel equations, all of which admit closed-form solutions. To demonstrate the method’s applicability, we compute reflection coefficients for selected profiles relevant to Acoustic Black Holes and validate the analytical results using a Riccati-based numerical method, showing excellent agreement.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113468"},"PeriodicalIF":3.4,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144239992","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":"Band structure engineering of coupled-resonator phononic polyacetylene and polyaminoborane","authors":"B. Manjarrez-Montañez ,&nbsp;R.A. Méndez-Sánchez ,&nbsp;Y. Betancur-Ocampo ,&nbsp;A.M. Martínez-Argüello","doi":"10.1016/j.ijsolstr.2025.113435","DOIUrl":"10.1016/j.ijsolstr.2025.113435","url":null,"abstract":"<div><div>A methodology for constructing a quasi-one-dimensional coupled-resonator phononic metamaterial is presented. This is achieved through the design of artificial phononic analogs of two molecular structures: trans-polyacetylene and trans-polyaminoborane. The band structure of trans-polyacetylene is analyzed in relation to the Su–Schrieffer–Heeger (SSH) model, while that of trans-polyaminoborane is examined using the <span><math><mi>κ</mi></math></span>-deformed Dirac equation, both within a tight-binding framework. Additionally, the obtained finite realization of the artificial trans-polyacetylene exhibits topologically protected states.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113435"},"PeriodicalIF":3.4,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144255037","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":"Computational homogenization for predicting the effective response of planar textile-reinforced concrete shells","authors":"Gabriel Edefors ,&nbsp;Fredrik Larsson ,&nbsp;Karin Lundgren","doi":"10.1016/j.ijsolstr.2025.113472","DOIUrl":"10.1016/j.ijsolstr.2025.113472","url":null,"abstract":"<div><div>Textile-reinforced concrete (TRC) exhibits a complex mechanical response, necessitating accurate and advanced models for analysis. This work shows the possibilities to model TRC using a two-scale approach. On the sub-scale, the response is predicted using Representative Volume Elements (RVEs), where the textile yarns are resolved. This approach makes it possible to capture the effects of bond–slip, interfilament slip, as well as concrete cracking and crushing. The large-scale plate response, in terms of membrane forces and bending moments, is obtained by homogenizing the results from the RVE using Kirchhoff plate kinematics. The outcome shows the possibilities of obtaining effective large-scale responses for varying sub-scale configurations. In this way, we omit the need for re-calibrating the large-scale model for every new reinforcement configuration. The scale-bridging framework developed in this work can be employed in large-scale plate and shell models to predict the effective constitutive response of TRC.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113472"},"PeriodicalIF":3.4,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144239994","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":"Revealing the (positive) role of porosity within polymeric additively manufactured lattices via X-ray computed tomography","authors":"Danilo Bruson ,&nbsp;Itziar Serrano-Munoz ,&nbsp;Tobias Fritsch ,&nbsp;Henning Markötter ,&nbsp;Manuela Galati","doi":"10.1016/j.ijsolstr.2025.113488","DOIUrl":"10.1016/j.ijsolstr.2025.113488","url":null,"abstract":"<div><div>The mechanical properties of lattice geometries are known to be significantly influenced by a variety of manufacturing defects. This study investigates the influence of porosity on the mechanical behaviour of strut-based body-centred cubic (BCC) lattice structures produced with powder bed fusion with laser beam PBF-LB/P using PA2200 nylon powder. The study combines advanced techniques, including in-situ laboratory X-ray computed tomography (XCT), synchrotron XCT to visualise pores and roughness in high resolution at a single-cell level and image-based finite element analysis (FEA). The findings show that failure in thin-walled AM lattices is governed by the combined effects of porosity morphology, location, surface roughness, and cross-section reduction. The presence of internal porosity is found to attenuate both the amplitude of elastic modulus fluctuations and the severity of stress concentrations induced by surface irregularities.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113488"},"PeriodicalIF":3.4,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144239993","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":"Thermodynamically consistent phase-field modeling for polycrystalline multi-phase continua","authors":"Hendrik Westermann,&nbsp;Rolf Mahnken","doi":"10.1016/j.ijsolstr.2025.113465","DOIUrl":"10.1016/j.ijsolstr.2025.113465","url":null,"abstract":"<div><div>The macroscopic material properties of steels are affected by microstructure evolution during hot-forming. Phase transformations, carbide precipitation, and recrystallization are examples of the relevant phenomena. Most engineering components require high strength and sufficient residual ductility to withstand mechanical loads and to provide favorable manufacturing conditions. One way to achieve this state is a microstructure composed of bimodal grains. The key contribution of the present manuscript is the proposition of a prototype model for an existing thermodynamic framework, combining two phase-field approaches for the numerical investigation of recrystallization effects. The developed prototype model captures phase transformations, carbon diffusion, and carbide precipitation during static recrystallization. A combined phase-field approach models the microstructure evolution driven by temperature, curvature effects and stored energy effects. The corresponding order parameters are fractions of ferrite, martensite, and carbide phases as well as grain orientation and microstructure crystallinity describing grain boundary movement. The grain boundary evolution is captured by a Kobayashi–Warren–Carter approach. The prototype model builds upon a generalized framework on thermodynamics and captures grain boundary motion in multi-phase continua. This yields a novel constitutive framework capable of describing the complex material behavior of metals during recrystallization annealing. To demonstrate the evolution of phase fractions and carbide precipitation, conclusive two-dimensional phase-field simulations are solved with the finite-element method.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"320 ","pages":"Article 113465"},"PeriodicalIF":3.4,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144213283","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}