International Journal of Solids and Structures最新文献

{"title":"Forecast buckling and wrinkling analysis of Föppl von-Kármàn plates in functionally graded materials using Hermite-type approaches","authors":"Mohammed Rammane ,&nbsp;Said Mesmoudi ,&nbsp;Oussama Elmhaia ,&nbsp;Youssef Hilali ,&nbsp;Omar Askour ,&nbsp;Oussama Bourihane","doi":"10.1016/j.ijsolstr.2025.113650","DOIUrl":"10.1016/j.ijsolstr.2025.113650","url":null,"abstract":"<div><div>This work presents a numerical analysis of buckling and wrinkling phenomena in thin Functionally Graded (FG) isotropic and FG sandwich plates using the Föppl von-Kàrmàn theory. Three numerical approaches based on the use of the Asymptotic Numerical Method (ANM) with Hermite-type approximations under either strong or weak formulations are introduced. These approaches include the recently suggested Collocation Hermite-type Weighted Least Squares method (CHtWLS) coupled with ANM, the Finite Element Method (FEM) with ANM, and the Hermite-type Element Free Galerkin method (HEFG) with ANM. They are applied to study the influence of boundary conditions, plate geometry, and material distribution in FG sandwich plates on the stationary bifurcation behavior. The presented approaches employ path-following techniques to accurately and efficiently predict critical load factors and wrinkling shape modes. The use of different numerical methods adds versatility and robustness to the analysis, making the proposed CHtWLS with ANM particularly efficient and straightforward for nonlinear problems with Hermitian boundary conditions and a low degree of freedom, unlike FEM and HEFG with ANM, which are used under a weak form without the need for special treatment techniques. The buckling phenomenon is investigated in this study on square and rectangular plates using a biaxial compressive load, while the wrinkling phenomenon is investigated using a uniaxial tensile and compressive loads. The numerical findings underscore the significance of the FG power-law index as a crucial parameter influencing buckling behavior and critical loads under various boundary conditions. Notably, the study unveils an unusual wrinkling phenomenon under simply-supported boundaries, revealing a nonlinear bifurcation diagram featuring multiple critical points and folding behaviors in both square and rectangular plates.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113650"},"PeriodicalIF":3.8,"publicationDate":"2025-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145156701","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":"Modeling the electromechanical behavior of fiber-like dielectric elastomer actuator","authors":"Yu Zhu ,&nbsp;Meng-Ting Xu ,&nbsp;Zhi-Han Chen ,&nbsp;Ting Fan ,&nbsp;Zhen-Hua Tang ,&nbsp;Yuan-Qing Li ,&nbsp;Shao-Yun Fu","doi":"10.1016/j.ijsolstr.2025.113669","DOIUrl":"10.1016/j.ijsolstr.2025.113669","url":null,"abstract":"<div><div>Due to their excellent electrode-dielectric interfaces, straightforward fabrication process, lightweight, and slender structure, fiber-like dielectric elastomer actuators (DEAs) with axial deformation have broader application prospects than classical sandwich-configuration DEAs in soft robotics and are receiving increasing attention. However, the corresponding theoretical work is far behind of experimental research. Herein, a coaxial fiber-like DEA consisting of electrode core-dielectric annulus-electrode shell layout is proposed, and a nonlinear thermodynamic model is established to elucidate its electromechanical coupling behavior. Meanwhile, the standard linear solid rheological model is used to characterize the dielectric elastomers’ viscoelastic behavior. Subsequently, the static and dynamic electromechanical responses of the fiber-like DEAs are analyzed numerically, and the effects of material and structural parameters on the electromechanical behaviors are demonstrated. Theoretical calculation results indicate that coaxial fiber-like architecture could effectively suppress the electromechanical instability and achieve higher axial strain than tube-like hollow counterparts under equivalent electric fields. Moreover, decreasing the viscoelasticity and the thickness of the dielectric layer can effectively increase actuation strain. Finally, to verify the validity of the theoretical framework, the actuation performance of the fiber-like DEAs fabricated through one-step co-extrusion technique is measured. The theoretical predictions show good agreement with the experimental results, conclusively validating the effectiveness of the proposed model. This research establishes a theoretical groundwork for the design and optimization of fiber-like DEAs and provides critical guidelines for developing high-performance fiber-like DEAs for applications in soft robotics.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113669"},"PeriodicalIF":3.8,"publicationDate":"2025-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145156702","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":"Optimization of slenderness ratio and visco-elastic material properties in a 2D hybrid auxetic lattice for enhanced impact mitigation","authors":"Xuedong Zhai ,&nbsp;Xiaoming Mao ,&nbsp;Ellen M. Arruda","doi":"10.1016/j.ijsolstr.2025.113659","DOIUrl":"10.1016/j.ijsolstr.2025.113659","url":null,"abstract":"<div><div>Armor is known to protect underlying targets by reducing force transmission during impact events. However, the kinetic energy associated with an impact, often underappreciated, can be as destructive as the force, causing relative motion in the target and consequent damage. Therefore, efficient protective gear and packaging should be lightweight and effective at both force reduction and energy mitigation. Although auxetic lattices have been studied as lightweight alternatives for force reduction, the simultaneous optimization of force reduction and energy dissipation in impact mitigation, through geometric configurations and material selection, has not been addressed. In the present study, we demonstrate that a 2D auxetic lattice, optimized for the slenderness ratio of its struts and for elastic and viscoelastic material properties, can not only reduce the transmitted peak force but also significantly mitigate energy. By employing a multi-step optimization method integrated with Finite Element (FE) analysis, we achieve an optimal auxetic lattice design that simultaneously considers both peak force and energy mitigation. Our results are further validated through theoretical analyses from existing literature.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113659"},"PeriodicalIF":3.8,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145156700","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":"Postbuckling of magnetic rings","authors":"Tuan M. Hoang","doi":"10.1016/j.ijsolstr.2025.113631","DOIUrl":"10.1016/j.ijsolstr.2025.113631","url":null,"abstract":"<div><div>We perform for the first time postbuckling of circular magnetic rings consisting of permanently magnetized particles of the same magnetization. Employing variational approach, we first determine the buckling condition in closed form. We then apply this condition to characterize the buckling for two scenarios in which the ring is (i) compressed by dipolar loading due to a central point dipole and (ii) compressed by centrally mechanical loading. Using the concept of effective bending stiffness of a magnetic ring, we next introduce an equivalent loading parameter characterized for both loadings. We find that the critical value of equivalent loading parameter at which the circular magnetic ring buckles for the first scenario is much lower than that for the second scenario. And, in the continuum limit when the number of permanently magnetized particles is very large, the critical value for the former is four times lower than that for the latter. Moreover, the loading scenario decides buckling modes via which the magnetic ring first buckles. For the first scenario, the circular magnetic ring deforms into planar but noncircular shapes via in-plane buckling modes, regardless of ring sizes. For the second scenario, the circular magnetic ring deforms into planar but noncircular or nonplanar shapes via in-plane or out-of-plane buckling modes for, respectively, small ring sizes or sufficiently large ring sizes. Finally, a weakly nonlinear analysis shows that for a magnetic ring subject to dipolar loading, the post-buckled shape is not stable for all ring size and this result is consistent with previous experiments. For a magnetic ring subject to mechanical loading, however, the post-buckled shape is stable for a sufficiently large ring size.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113631"},"PeriodicalIF":3.8,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145268779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"On hydrogen-induced shear localization in austenitic steels triggered by dislocation interactions with short-range order","authors":"K. Vijayvargia ,&nbsp;Z.S. Hosseini ,&nbsp;M. Dadfarnia ,&nbsp;B.P. Somerday ,&nbsp;J.A. Krogstad ,&nbsp;M. Kubota ,&nbsp;T. Tsuchiyama ,&nbsp;P. Sofronis ,&nbsp;N. Aravas","doi":"10.1016/j.ijsolstr.2025.113662","DOIUrl":"10.1016/j.ijsolstr.2025.113662","url":null,"abstract":"<div><div>We investigate the interaction of short-range order (SRO) with dislocations as mechanism underlying hydrogen-induced plastic flow localization in austenitic stainless steels. Our approach is motivated by the fact that short-range order is known to advance glide plane softening and that classic metrics of embrittlement such as hydrogen induced reduction of the stacking fault energy and the formation of α’ martensite are neither necessary nor sufficient conditions for failure of austenitic systems by hydrogen enhanced localized plasticity. We show that the presence of a microscale band whose mechanical response is governed by the formation of a dislocation pileup against an SRO nanodomain in a specimen strained homogenously can lead to the onset of plastic flow localization at the macroscale when the pileup breaks through the SRO’s stress field. This link between hydrogen-induced plastic flow localization and material failure at the macroscale underpinned by dislocation interactions with short-range ordering at the microscale holds promise toward the design of austenitic microstructures with compositions tailored to suppress such flow localization.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113662"},"PeriodicalIF":3.8,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145156699","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":"The limiting values of the Swift effect in hyperelastic-plastic materials exhibiting yield stress saturation","authors":"Georgiy M. Sevastyanov","doi":"10.1016/j.ijsolstr.2025.113661","DOIUrl":"10.1016/j.ijsolstr.2025.113661","url":null,"abstract":"<div><div>The Swift effect is a well-known phenomenon that addresses the change in length of a cylindrical sample in free-end torsion or the generation of an axial force in fixed-end torsion. In this study, we focus on the latter case. For materials with yield stress saturation (common in metals or some polymers under specific conditions), it is reasonable to assume that the magnitude of the axial force and torque should reach a steady-state value with increasing torsional strain. The aim of this study is to establish the relationship between these values and the mechanical parameters of materials. We utilize a hyperelastic-plastic formulation based on the multiplicative decomposition of the deformation gradient tensor into elastic and plastic parts. The isotropic incompressible material model incorporates a general-form hyperelastic law, a yield condition, and a plastic potential in the form of arbitrary smooth functions of the deviatoric invariants J₂ and J₃. A new universal relationship for the limiting values of the components of the elastic deformation tensor under fixed-end torsion is derived. In general, the limiting values of axial stress and torque can be calculated by solving two pairs of algebraic equations. In specific cases, such as the von Mises, Drucker and Cazacu – Barlat plasticity models, simple formulas for these quantities are derived.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113661"},"PeriodicalIF":3.8,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145120166","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":"Macroscopic elastic-plastic-damage constitutive model for TPMS lattices","authors":"Nareg Baghous ,&nbsp;Imad Barsoum ,&nbsp;Rashid K. Abu Al-Rub","doi":"10.1016/j.ijsolstr.2025.113663","DOIUrl":"10.1016/j.ijsolstr.2025.113663","url":null,"abstract":"<div><div>Lattices based on triply periodic minimal surfaces (TPMS), which are a class of architected cellular materials, have attracted significant attention lately, due to their prevailing multifunctional properties and due to the advancements in additive manufacturing technologies. However, TPMS lattices are computationally expensive to model explicitly when used in latticing various structures for enhanced mechanical properties. This study presents for the first time a macroscopic constitutive model that can predict the bulk anisotropic elastic–plastic-damage response of TPMS sheet-based lattices, including its numerical implementation using the finite element method. The proposed macroscopic constitutive model consists of a cubic symmetric elasticity model, a modified version of anisotropic Hill’s plasticity yield surface with an associative flow rule, and an anisotropic damage model such that both the plasticity and damage models account for the asymmetric behavior of lattices under tension and compression loading conditions. The developed macroscopic constitutive modeling is validated through predicting the elastic–plastic-damage behavior of the Schoen’s I-WP sheet-based TPMS lattice (IWP-s) at 28% relative density and Neovius sheet-based TPMS lattice (NEOV-s) at 25% relative density under various multi-axial loading conditions, where a very good match is obtained between the macroscopic models and the explicit micro-mechanics models of the lattices. In addition, validation is done on a cantilever beam problem that consists of homogenous distributions of TPMS sheet-based lattices where a very good match is found between the latticed beam’s elastic and elastic–plastic-damage responses and the macroscopic models’ predictions for both IWP-s and NEOV-s, while saving about 2778 times the computational time. This macroscopic continuum modeling framework helps in the development of computationally effective coupled elastic–plastic-damage constitutive models for various types of lattice metamaterials.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113663"},"PeriodicalIF":3.8,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145110128","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":"Multiphase constitutive modeling for interphase-driven mechanics in polymer blends: Application to PE/PS and PP/PS systems processed by solid-state and melt mixing","authors":"Salim-Ramy Merouani ,&nbsp;Ramin Hosseinnezhad ,&nbsp;Zhu Yan ,&nbsp;Fahmi Zaïri ,&nbsp;Iurii Vozniak","doi":"10.1016/j.ijsolstr.2025.113666","DOIUrl":"10.1016/j.ijsolstr.2025.113666","url":null,"abstract":"<div><div>In polymer blends, the mechanical response is governed not only by the intrinsic properties of each constituent polymer but also by the morphology and mechanical role of the interphase regions formed at their interfaces. These interphases mediate stress transfer, accommodate molecular mobility, and influence local deformation mechanisms – making them especially influential in immiscible systems where interfacial adhesion is inherently weak. This study presents a multiphase continuum-based constitutive model that explicitly incorporates the interphase as a mechanically active domain. The model distinguishes between crystalline, amorphous, and interphase contributions, and extends existing crystalline-amorphous constitutive formulations – based on intermolecular elasto-viscoplasticity and molecular network viscohyperelasticity – by embedding interphase-specific deformation mechanisms. Its aim is twofold: to improve macroscopic stress–strain estimates and to shed light on the underlying phase interactions that control the mechanical behavior of polymer blends. The model is applied to two representative immiscible polymer systems, each combining a semi-crystalline polyolefin – polyethylene (PE) or polypropylene (PP) – with a glassy amorphous polymer, polystyrene (PS). Its development is guided and supported by a comprehensive experimental campaign that includes uniaxial tensile testing, SEM, DSC, solid-state NMR, and DMTA. Constitutive parameters are identified through inverse fitting, supplemented by literature-based values for the crystalline phases of PE and PP. The PE/PS and PP/PS blends are processed using both conventional melt mixing and high-pressure torsion (HPT) – a solid-state processing method that reduces domain sizes to the nanoscale and promotes enhanced interfacial connectivity. Results demonstrate that explicitly incorporating the interphase as a mechanically active domain significantly improves the accuracy of stress–strain estimates, particularly in HPT-processed blends. In these systems, the model captures key experimental features such as enhanced stiffness and distinct failure modes driven by interfacial cohesion. The proposed framework offers a physically grounded approach to elucidate the underlying deformation mechanisms in complex multiphase systems. It highlights the central role of the interphase – not only in enabling efficient stress transfer, but also in controlling the degree of mechanical coupling between otherwise immiscible polymer phases.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113666"},"PeriodicalIF":3.8,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145218367","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":"Analytical modeling of laminated composite rings on nonreciprocal elastic foundations under non-axisymmetric loading","authors":"Zhipeng Liu,&nbsp;Jaehyung Ju","doi":"10.1016/j.ijsolstr.2025.113665","DOIUrl":"10.1016/j.ijsolstr.2025.113665","url":null,"abstract":"<div><div>A mechanical model of a laminated composite ring on a nonreciprocal elastic foundation is a valuable engineering tool during the early design stages of various applications, such as non-pneumatic wheels, flexible bearings/bushings, expandable tubulars in oil wells, and vascular stents interacting with blood vessel linings, especially under non-axisymmetric loadings. Despite its importance, limited research has focused on the interaction between laminated composite rings and nonreciprocal elastic foundations. Moreover, no quantitative studies have yet explored the influence of foundation stiffness on the ring’s deformation. This work aims to develop an analytical framework for a laminated composite ring supported by a nonreciprocal elastic foundation under non-axisymmetric loading conditions. The model generates a design map that correlates the foundation’s stiffness with the ring’s deformation, accounting for ring dimensions, laminate lay-up architecture, and lamina anisotropy. The closed-form solution provides an efficient design tool for analyzing non-axisymmetric and nonuniform loadings at a low computational cost. The resulting design map provides a valuable resource for exploring the interaction between the nonreciprocal foundation and the laminated ring. The proposed analytical framework and design map hold broad potential applications in automotive, mechanical, civil, and biomedical engineering fields.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113665"},"PeriodicalIF":3.8,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145109800","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":"Nucleation and propagation of self-healing cracks at an elastic adhesive interface","authors":"Vineet Dawara,&nbsp;Puneeth S.,&nbsp;Koushik Viswanathan","doi":"10.1016/j.ijsolstr.2025.113639","DOIUrl":"10.1016/j.ijsolstr.2025.113639","url":null,"abstract":"<div><div>Slip between two bodies in frictional contact is mediated by rupture fronts, which can propagate as either crack-like or pulse-like modes. While crack-like fronts resemble a growing crack, pulse-like fronts involve reattachment at the trailing edge of the propagating front. When and why these fronts occurs remains an open question, actively explored through both theory and experiments. In this work, we investigate the role of boundary conditions in the existence of pulse-like fronts under shear-driven sliding using a two-dimensional elastic network-based numerical model consisting of load-bearing bonds. The interface bonds are capable of attachment and reattachment under specific conditions. We show that in the same system, under shear loading, crack-like fronts are precursors to pulse-like events, and transition to them under increasing remote normal load. The pulse speed in all cases never exceeds the Rayleigh wave speed. To explain this limiting speed, we present an analytical model of moving pulses comprising stick and slip regions, based solely on kinematic boundary conditions, independent of specific friction laws.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"324 ","pages":"Article 113639"},"PeriodicalIF":3.8,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145156703","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}