International Journal of Solids and Structures最新文献

{"title":"Constrained Euler buckling: The von Kármán approximation","authors":"Jiayu Wang,&nbsp;Stéphanie Deboeuf,&nbsp;Arnaud Antkowiak,&nbsp;Sébastien Neukirch","doi":"10.1016/j.ijsolstr.2025.113279","DOIUrl":"10.1016/j.ijsolstr.2025.113279","url":null,"abstract":"<div><div>We consider the classical problem of the buckling of a planar elastica inside a rectangular cavity. We compute the equilibrium solutions analytically in the (von Kármán) small deflection approximation. We list the different equilibrium states and their domain of validity in terms of the imposed horizontal <span><math><mi>Δ</mi></math></span> and vertical <span><math><mi>H</mi></math></span> displacements. We compute the horizontal <span><math><mi>P</mi></math></span> and the vertical <span><math><mi>F</mi></math></span> applied forces and show how they increase and scale when the compaction ratio <span><math><mrow><msqrt><mrow><mi>Δ</mi></mrow></msqrt><mo>/</mo><mi>H</mi></mrow></math></span> is increased. Finally, we introduce an approximate response state, where the system adopts a periodic configuration with a noninteger number of repeated folds. This solution represents an average response of the structure and brings information on its global behavior.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"313 ","pages":"Article 113279"},"PeriodicalIF":3.4,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445194","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Exotic buckling patterns in fiber-reinforced materials: Numerical simulations of Cosserat elasticity","authors":"Ryan C. McAvoy","doi":"10.1016/j.ijsolstr.2025.113272","DOIUrl":"10.1016/j.ijsolstr.2025.113272","url":null,"abstract":"<div><div>This paper discusses the three-dimensional finite element implementation of a nonlinear constrained Cosserat model for fibrous materials that accounts for extensional, flexural, and torsional fiber stiffness. Fiber bending and twisting effects are recorded by a rotation field introduced as an additional kinematic variable, the gradient of which is included in the pointwise constitutive response. A fiber-materiality constraint, enforced implicitly through Lagrange multipliers, convects the fibers as material curves. Two independent length scales corresponding to the fiber embedding, in the present case fiber cross sectional radius and fiber spacing, are explicitly included in the model. The open-source finite element code FEniCS is utilized for the numerical implementation, with which we study compression-induced flexural buckling of an elastic rectangular cantilever. Simulations reveal that fiber flexural stiffness affects out-of-plane buckling modes, and that by modifying the fiber size, modulus, and embedding pattern, unusual deformation patterns and global force–displacement responses can be achieved. These results are expected to facilitate more effective analysis of these materials and ultimately guide their design in the spirit of the metamaterial paradigm.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"312 ","pages":"Article 113272"},"PeriodicalIF":3.4,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Effect of flexoelectricity on buckle-delamination of nanofilms adhered to compliant substrates","authors":"Yihang Chen ,&nbsp;Tingjun Wang ,&nbsp;Yuanyuan Cui,&nbsp;Yingzhuo Lun,&nbsp;Jiawang Hong","doi":"10.1016/j.ijsolstr.2025.113276","DOIUrl":"10.1016/j.ijsolstr.2025.113276","url":null,"abstract":"<div><div>Buckle-delamination, a typical instability mode, can spontaneously introduce large, sizable-area and tunable strain gradients in nanofilms adhered to compliant substrates, which helps to exploit the flexoelectric effect. However, the role of flexoelectricity in the buckle-delamination behavior of dielectric nanofilms remains unclear. Here, an electromechanical coupling model is developed to capture the flexoelectric effect in buckle-delaminated films on compliant substrates. The energy analysis indicates that the interplay between flexoelectricity and buckling promotes the delamination process by increasing the width of buckle-delaminated blisters. Moreover, the coupling of flexoelectricity and piezoelectricity breaks the anti-symmetric distribution of in-plane stress, thereby affecting the position and magnitude of the maximum tensile stress. We also investigate the size-dependent effect of flexoelectricity in buckle-delamination behavior and demonstrate its crucial role in films of nanoscale thickness. This work can advance the understanding of the flexoelectric effect in buckle-delamination behavior and pave the way for its practical applications.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"312 ","pages":"Article 113276"},"PeriodicalIF":3.4,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143444617","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":"Synchronous enhancement of extreme-damping and stiffness in elastic mechanical metamaterials via self-tensioning friction mechanism","authors":"Yun-Long Chen,&nbsp;Li Ma","doi":"10.1016/j.ijsolstr.2025.113282","DOIUrl":"10.1016/j.ijsolstr.2025.113282","url":null,"abstract":"<div><div>Reusable mechanical metamaterials with both high energy-dissipating and load-bearing features are ideal candidates for widespread dynamic applications, ranging from impact mitigation to vibration suppression. Despite great demands, the existing designs either exhibit limited damping or stiffness, and perhaps work well only for one-time use. To reconcile these contradictions, a synchronous enhancements strategy of damping and stiffness is proposed to create novel mechanical metamaterial by replacing the viscous damping in the viscoelastic material Kelvin-Voigt constitutive to frictional damping, exemplified by auxetic self-tensioning friction damping metamaterials (FDM). They trigger an embedded sliding friction behavior through auxetic effect to achieve energy dissipation, which especially shows high stiffness while achieving extreme damping ability synergistically under large compressive strain. This synchronous enhancement mechanism is analysed by combining finite element modelling, theoretical analysis, and experimental validation. These innovative mechanical metamaterials with repeatability and self-recoverability have broad applications in engineering materials-structures-systems for energy-dissipation and load-carrying.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"313 ","pages":"Article 113282"},"PeriodicalIF":3.4,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445193","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":"Analysis on moisture-induced stresses in wood cell wall considering periodically graded microstructures","authors":"Wenbo Li ,&nbsp;Mingyang Chen ,&nbsp;Yu Dai ,&nbsp;Liao-Liang Ke","doi":"10.1016/j.ijsolstr.2025.113277","DOIUrl":"10.1016/j.ijsolstr.2025.113277","url":null,"abstract":"<div><div>The S2 layer of the wood cell wall is essentially a biocomposite reinforced by periodically graded microfibril, the mechanical properties of which are significantly affected by environmental humidity. The function of the periodically graded microstructure of microfibril in regulating moisture-induced stress and strain is still unclear. By developing the shear-lag model, we successfully reveal the stress transfer properties of S2 layers with periodically graded microfibrils at different levels of moisture. We demonstrate that the periodically graded microstructure facilitates the moisture-induced interfacial shear stress to be more evenly distributed over the whole microfibril and significantly reduce the interfacial shear stress at the edges, leading to the postponement of the initiation of interfacial debonding. Besides, we find that the moisture-induced stress is non-monotonic and exists maximum value, due to the fact that the polymers comprising the matrix undergo softening upon water absorption. Meanwhile, the length of the different regions of the microfibril is systematically studied, the results indicate that the interface burden can be reduced by increasing the length of graded regions, and sufficiently long pitch do not affect the magnitude of the interfacial shear stress. Moreover, the microstructure of the periodically graded fibril can effectively reduce the negative effect of debonding. These revealed mechanical mechanisms are conducive to the design of fiber-reinforced composites serving under humid condition.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"312 ","pages":"Article 113277"},"PeriodicalIF":3.4,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143394110","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":"Ionization induced by fluid–solid interaction during hypervelocity impact","authors":"Shafquat T. Islam ,&nbsp;Aditya Narkhede ,&nbsp;Paul D. Asimow ,&nbsp;John G. Michopoulos ,&nbsp;Kevin Wang","doi":"10.1016/j.ijsolstr.2025.113278","DOIUrl":"10.1016/j.ijsolstr.2025.113278","url":null,"abstract":"<div><div>This paper presents a computational model to represent and investigate hypervelocity impacts that occur in an atmospheric environment, focusing on energy partitions and impact-induced ionization. The computational domain includes the projectile, the target, and the ambient gas. The physical model combines the compressible Navier–Stokes equations, a complete thermodynamic equation of state (EOS) for each material, and a non-ideal, multi-species Saha equation for ionization prediction. Material interfaces are tracked using an extended two-equation level set method, and the interfacial mass, momentum, and energy fluxes are computed by the FIVER (FInite Volume method with Exact multi-material Riemann problems) method. Using this model, the impact of tantalum on soda-lime glass (SLG) within argon gas is analyzed. Shock compression experiments are conducted to capture the thermodynamics of SLG under high pressure and temperature, yielding shock Hugoniot data up to <span><math><mrow><mn>112</mn><mspace></mspace><mi>GPa</mi></mrow></math></span> and 5300 K. This data is used to calibrate a Noble-Abel stiffened gas EOS. Impact simulations are performed with initial velocity ranging from <span><math><mrow><mn>3</mn><mspace></mspace><mtext>km</mtext><mo>/</mo><mtext>s</mtext></mrow></math></span> to <span><math><mrow><mn>7</mn><mspace></mspace><mtext>km</mtext><mo>/</mo><mtext>s</mtext></mrow></math></span>. Time histories of the pressure, temperature, and plasma density fields are compared across the three materials. Less than 1% of the total impact energy is transferred to the ambient gas, yet its specific internal energy is of the same order of magnitude as that of the projectile and target. Argon gas exhibits higher temperature and plasma density than SLG and tantalum. The ionization of SLG is found to be highly selective, with the metallic elements contributing over 99.9% of the plasma’s charged particles despite comprising less than 15% of the molar composition. In general, the results suggest that the plasma’s density and energy depend on both impact velocity and the material combination, including the ambient gas. The plasma’s composition further reflects the properties (e.g., ionization energies) of the chemical elements in each material.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"312 ","pages":"Article 113278"},"PeriodicalIF":3.4,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143419817","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 directional contraction method to model sand-based binder jet 3D printed materials","authors":"Elodie Donval ,&nbsp;Matti Schneider ,&nbsp;Hannes Grimm-Strele ,&nbsp;Michael Godehardt ,&nbsp;Raphael Burger ,&nbsp;Philipp Lechner ,&nbsp;Daniel Günther ,&nbsp;Heiko Andrä","doi":"10.1016/j.ijsolstr.2025.113260","DOIUrl":"10.1016/j.ijsolstr.2025.113260","url":null,"abstract":"<div><div>The development of binder-jet sand-based 3D printing allows a quick design of complex parts for foundry molds. To ensure a good quality of casting, the mold must feature some specific mechanical, thermal and transport properties. In that context, a reliable modeling approach for the sand-core material provides a less expensive alternative to extended experimental campaigns. In the present paper, we propose a physics-based microstructure generation approach that is able to capture the experimentally observed anisotropy of the sand-binder composite. The corresponding packing algorithm features a directional contraction of the unit cell that mimics the layer-by-layer deposition of the sand. We also introduce an improved, grid-free approach to add binder between the grains. After the microstructure generation process, we compute the apparent stiffness and permeability on the generated microstructure, and show that these apparent properties are transversely isotropic in the vertical direction. We provide a parametric study on some parameters of interest, such as the volume fraction of binder or the layer thickness. Finally, the results obtained through our modeling approach are compared to experimental results available in the literature. These comparisons show that the anisotropy induced by our microstructure generation approach is similar to the one experimentally observed.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"312 ","pages":"Article 113260"},"PeriodicalIF":3.4,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143437434","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":"Residual stretch-based model for describing fatigue life of aged elastomers","authors":"Moussa Naït Abdelaziz ,&nbsp;Andreas Hottin ,&nbsp;Reda Kadri ,&nbsp;Naima Rezig ,&nbsp;Abderrahim Talha ,&nbsp;Tassadit Bellahcene ,&nbsp;Georges Ayoub ,&nbsp;Méziane Aberkane","doi":"10.1016/j.ijsolstr.2025.113284","DOIUrl":"10.1016/j.ijsolstr.2025.113284","url":null,"abstract":"<div><div>This work presents a novel approach for assessing the impact of thermo-oxidative aging on the fatigue properties of elastomeric materials. Beginning at the microscale, where macromolecular chains undergo shortening through crosslinking, the approach postulates the existence of a residual stretch at the macroscale proportional to aging severity. The proposed approach suggests that aging increases the effective applied load, necessitating correction to accommodate the additional strain.</div><div>This hypothesized microscopic mechanism manifests as a residual stretch that depends on the density of elastically active chains. This framework enables the construction of a unified Wöhler curve that spans both low-cycle and high-cycle fatigue, based on the Bastenaire model. Further validation using data from the literature highlights the effectiveness of this novel empirical approach.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"312 ","pages":"Article 113284"},"PeriodicalIF":3.4,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429985","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 constitutive model of concrete developed in the framework of damage and multi-surface plasticity: Theory and verification","authors":"Drago Žarković,&nbsp;Đorđe Jovanović","doi":"10.1016/j.ijsolstr.2025.113281","DOIUrl":"10.1016/j.ijsolstr.2025.113281","url":null,"abstract":"<div><div>Within this study, a new constitutive model of concrete for local analysis is formulated based on the uncoupled combination of the theory of plasticity and damage mechanics. The chosen yield function in the theory of plasticity part is uniquely adapted, with separate hardening variables corresponding to the compression and tension meridians in the principal stress space, aiming to describe independent material hardening under cyclic loading. An essential aspect of concrete behaviour, the closure and reopening of existing cracks under cyclic loading, is encompassed by introducing a secondary yield surface into the formulation. The damage mechanics part of the model is formulated by decomposing the stress tensor into positive and negative parts, introducing two damage variables for tension and compression. Introducing a specific exponential function for the damage evolution rule ensures an adequate model response on both the compression and tension sides of the softening response. This function is calibrated according to the concrete strength to simulate the more ductile behaviour of lower-grade concrete and the more brittle behaviour of higher-grade concrete without introducing additional model parameters. The model’s formulation ensures an objective response when modelling structures with different finite element mesh sizes.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"312 ","pages":"Article 113281"},"PeriodicalIF":3.4,"publicationDate":"2025-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143419851","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 dimensionless study of Functionally Graded Material membranes wrinkling using the Asymptotic Numerical Method","authors":"Siham Khalil ,&nbsp;Oussama Elmhaia ,&nbsp;Abdellah Hamdaoui ,&nbsp;Bouazza Braikat ,&nbsp;Heng Hu ,&nbsp;Adnane Boukamel ,&nbsp;Noureddine Damil","doi":"10.1016/j.ijsolstr.2025.113259","DOIUrl":"10.1016/j.ijsolstr.2025.113259","url":null,"abstract":"<div><div>In this work, by making dimensionless the equations of the variational problem governing the wrinkling of Functionally Graded Material (FGM) membranes under tension, we highlight five dimensionless parameters that control the appearance and disappearance of wrinkles. These parameters are related to the aspect ratios, the properties of the FGM membrane, and the applied loading. The other two parameters are related to the properties of the FGM membrane which represent the ratio between the Young’s moduli of the upper and lower surfaces of the FGM membrane, and <span><math><mi>p</mi></math></span> describes the variation of Young’s modulus across the thickness of the FGM membrane. The fifth parameter is related to the imposed loading and the geometric and material characteristics of the membrane. For this purpose, we will use the full expression for thin-membrane deformation without approximating membrane effects, employing an extended Föppl von Kármán (eFvK) model. The nonlinear equations will be solved numerically using the Asymptotic Numerical Method (ANM). Several numerical simulations are presented to study the effects of these dimensionless parameters on the appearance and disappearance of wrinkles.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"311 ","pages":"Article 113259"},"PeriodicalIF":3.4,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143379105","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}