International Journal of Solids and Structures最新文献

{"title":"Bending-column woven mesh structure based on body-centered cubic structure","authors":"Lan Chen ,&nbsp;Zhiheng Zhang ,&nbsp;Yibo Huang ,&nbsp;Xinzhou Zhang ,&nbsp;Lijia Fang ,&nbsp;Haisheng Zhao ,&nbsp;Xudong Ren","doi":"10.1016/j.ijsolstr.2026.113892","DOIUrl":"10.1016/j.ijsolstr.2026.113892","url":null,"abstract":"<div><div>Truss lattice structures have garnered significant attention due to their simple topological configurations and exceptional resistance to deformation and energy absorption capabilities. This paper proposes a design methodology for woven lattice structures based on bending struts to overcome the limitations of traditional body-centered cubic (BCC) lattices in stiffness enhancement and buckling control. The structure exhibits high flexibility during initial deformation to mitigate stress concentration, while enhancing stiffness through strut self-contact during large deformations. Using selective laser melting technology to fabricate 316 L stainless steel specimens, combined with experiments and simulations, we systematically analyze the mechanical behavior of BCC, flexible lattice, and woven lattice structures. Results indicate that woven structures outperform BCC lattices in both specific energy absorption and plateau stress. The FBCC-F exhibits a plateau stress of 52.72 MPa, approximately 90% higher than BCC, with specific energy absorption improved by about 80%. FBCC-C exhibits superior stability and impact resistance at high strain rates. When rod diameters exceed 0.76 mm, its strain response is minimally affected, while self-contact effects mitigate fracture tendencies in thicker rods, demonstrating excellent relative density adaptability. The proposed bending strut design strategy holds promise for expanding the application potential of truss lattices in practical engineering scenarios such as impact resistance and large deformation protection.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"331 ","pages":"Article 113892"},"PeriodicalIF":3.8,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146173001","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":"Modulating energy storage properties in layered paraelectric/ferroelectric/paraelectric composites via thickness and strain engineering","authors":"Zihe Wang ,&nbsp;Chengwen Bin ,&nbsp;Sizheng Zheng ,&nbsp;Jie Wang","doi":"10.1016/j.ijsolstr.2026.113897","DOIUrl":"10.1016/j.ijsolstr.2026.113897","url":null,"abstract":"<div><div>Ferroelectric capacitors hold great promise for energy storage applications due to their rapid charge/discharge rates and high breakdown strength. However, the relatively low density and efficiency of energy storage limit their practical application, and it is necessary to develop methods to improve their performance. In this study, we introduce a synergistic modulation of layer thickness and strain to enhance the energy storage density and efficiency of paraelectric/ferroelectric/paraelectric (SrTiO₃/PbTiO₃/SrTiO₃) composite multilayer structure. Phase field simulations reveal that the layered composites exhibit superior energy storage properties when the thickness of paraelectric (PE) layer exceeds that of ferroelectric (FE) layers in the studied range of thickness. Under different in-plane strains, larger tensile strains are found to enhance the energy storage performance by effectively reducing the remnant polarization. Furthermore, by carefully adjusting the layer thickness and applied strain, the layered composites exhibit tunable hysteresis loops of polarization versus electric field, including ferroelectric, antiferroelectric-like, and paraelectric-like characteristics. When the layer thickness and strain modulate synergistically, the sensitivity of the composite’s energy storage performance to strain becomes more pronounced as the thickness of the FE layer increases. Consequently, the optimal thicknesses of the FE and PE layers increase as the applied tensile strain increases. This modulation approach for the SrTiO₃/PbTiO₃/SrTiO₃ composite can also be extended to other layered PE/FE/PE systems, providing valuable guidance for optimizing the energy storage performance through either independent or synergistic adjustment of layer thickness and strain.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"331 ","pages":"Article 113897"},"PeriodicalIF":3.8,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386007","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":"Optimizing membrane–substrate buckling to control surface deformation pattern","authors":"Wei Zhou,&nbsp;Robert Hewson,&nbsp;Matthew Santer","doi":"10.1016/j.ijsolstr.2026.113898","DOIUrl":"10.1016/j.ijsolstr.2026.113898","url":null,"abstract":"<div><div>Buckling of membrane–substrate structures can result in complex deformation patterns on their top surfaces. Traditionally, control over these patterns has relied on altering the material or thickness ratios of the system, which imposes considerable constraints on design flexibility. Inspired by studies on Winkler foundation optimization, this work presents a novel framework for tailoring membrane–substrate buckling modes via topology optimization. In this approach, the material distribution within the substrate is optimized to tune the mechanical response, while filtering and projection techniques are incorporated to enhance manufacturability. Post-processing of the optimized layout yields a physically realizable structure that preserves the desired mechanical behavior. A two-dimensional case study demonstrates that the optimized design successfully generates the prescribed deformation pattern without modifying material properties or thickness ratios, thus enabling precise control over buckling-induced surface morphologies. Experimental validation using fabricated prototypes subjected to compression further confirms that the observed buckling modes closely match the targeted patterns, underscoring the practical effectiveness of the proposed method.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"331 ","pages":"Article 113898"},"PeriodicalIF":3.8,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146173002","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":"Ductile-to-brittle transition in high-strength steel: Experiments and damage-coupled constitutive modeling","authors":"Zhichao Wei,&nbsp;Guoxi Mao,&nbsp;Dongsong Li,&nbsp;Berk Tekkaya,&nbsp;Sophie Stebner,&nbsp;Sebastian Münstermann","doi":"10.1016/j.ijsolstr.2026.113896","DOIUrl":"10.1016/j.ijsolstr.2026.113896","url":null,"abstract":"<div><div>This paper focuses on the experimental and numerical analysis of the ductile-to-brittle behavior of the high-strength low-alloy (HSLA) steel. Different uniaxial experiments, using samples manufactured from 2 mm thick sheet metal and covering a wide range of stress states, were conducted to identify the elastic, plastic, and ductile damage and fracture loci, and the details of the experimental–numerical hybrid identification strategy are discussed. In addition, a series of sub-sized V-notch Charpy tests from room temperature to -196°C were performed to investigate the ductile-to-brittle transition behavior. For numerical simulations, a modified Bai and Wierzbicki stress-state-dependent yield condition considering isotropic damage by incorporating a scalar damage variable is used to capture the elastic–plastic-damage behavior. The damage evolution is driven by energy dissipation. An extended stress-triaxiality-dependent Johnson–Cook-type damage and fracture model is developed by incorporating the Lode angle parameter to capture the initiation of ductile damage and fracture more accurately. Moreover, a novel temperature-dependent stress-based criterion is introduced to model brittle fracture. The proposed damage and fracture continuum framework accurately captures and predicts the ductile-to-brittle material behavior and can serve as an alternative to the traditional fracture toughness method for characterizing fracture behavior.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"331 ","pages":"Article 113896"},"PeriodicalIF":3.8,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147386051","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":"Enhancing elastic energy focusing in multimode strain regions via Bayesian optimization of gradient-index phononic crystals for energy harvesting","authors":"Wabi Demeke ,&nbsp;Sangryun Lee ,&nbsp;Wonju Jeon ,&nbsp;Seunghwa Ryu","doi":"10.1016/j.ijsolstr.2026.113871","DOIUrl":"10.1016/j.ijsolstr.2026.113871","url":null,"abstract":"<div><div>Metamaterials composed of gradient-index (GRIN) phononic crystals (PnCs), which contain unit cells whose sizes vary perpendicular to the direction of wave propagation, serve as a means of focusing elastic waves for energy harvesting. Owing to the finite wavelength of the propagating wave, GRIN PnCs localize the wave within a finite-sized region, which experiences multimodal strains instead of focusing on a single focal point with a single mode of strain. Consequently, the energy harvesting of elastic waves across a localized, finite region has recently gained research interest. This is due to the advantage of harvesting more energy through a properly designed piezoelectric energy harvester (PEH) that is larger than the wavelength of the elastic wave. However, the design of unit cells in GRIN PnC has been predominantly limited to simple shapes. This study introduces random hole shapes in GRIN PnC to enhance the intensity of elastic energy localization across targeted finite-sized region, utilizing a data-efficient surrogate model through Bayesian optimization (BO). Additionally, the developed BO method identifies a unit cell design that offers wave focusing intensity comparable to that of benchmark deep neural network (DNN)-based optimization, while requiring only 5.9% of the dataset. This advancement in wave localization significantly enhances the wave localization intensity in the target region by 36% and improves power generation by up to 1.5 times compared to GRIN PnC design with simple circular hole.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"330 ","pages":"Article 113871"},"PeriodicalIF":3.8,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146070913","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":"Adaptive stiffness–prestress sensitivity of morphing tensegrities","authors":"Hao Hong,&nbsp;Hua Deng","doi":"10.1016/j.ijsolstr.2026.113878","DOIUrl":"10.1016/j.ijsolstr.2026.113878","url":null,"abstract":"<div><div>The adaptivity of tensegrities in tuning the sensitivity of structural stiffness to prestress through active deformation is investigated in this paper. Unlike conventional structures with a full-rank elastic stiffness matrix, tensegrities feature an elastic stiffness matrix containing a null space due to their inherent mechanism characteristics. The stiffness components within this null space are entirely contributed by the geometrical stiffness induced by prestress; this constitutes an advantage of tensegrities in stiffness adjustment. This paper reveals that with respect to prestress, the sensitivity of structural stiffness components that resist a specified external load depends on the projection of the load onto the null space of the elastic stiffness matrix. Accordingly, the “null space proportion” is defined to quantify this projection and serves as an indicator for tuning stiffness–prestress sensitivity. The null space of the elastic stiffness matrix theoretically corresponds to the space of the mechanism displacement modes and is determined solely by the geometry of tensegrities. A strategy is proposed for tuning the stiffness–prestress sensitivity according to the established incremental relationship between the eigenvectors within this null space and the vector of member rest lengths. This strategy can either increase or suppress this sensitivity through the active deformation of tensegrities via member length actuation. Two illustrative examples, including a 6-bar 24-cable tensegrity and a 4-layer modular tensegrity robotic arm, are presented to verify the validity of the proposed strategy. The tunable stiffness–prestress sensitivity highlights an essential aspect of the adaptivity of tensegrities.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"330 ","pages":"Article 113878"},"PeriodicalIF":3.8,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146171631","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 analysis of multi-segment interconnects for stretchable electronics","authors":"Feiyu Xie ,&nbsp;Shu Guo ,&nbsp;Lijuan Sun ,&nbsp;Yang Zhao ,&nbsp;Yewang Su","doi":"10.1016/j.ijsolstr.2026.113884","DOIUrl":"10.1016/j.ijsolstr.2026.113884","url":null,"abstract":"<div><div>The advent of stretchable electronics marks a revolutionary departure from brittle silicon-based technology, enabling devices to adapt, flex, and operate in previously inaccessible ways. Multi-segment interconnects, such as zigzag, serpentine and fractal designs, substantially enhance the stretchability compared with the single-segment straight/curved interconnects for the island-bridge, mesh structures of stretchable electronics. However, the absence of rigorous mechanical continuity conditions at segment junctions hinders the application of well-established single-segment interconnect postbuckling theories to multi-segment systems. In this paper, mechanical continuity conditions at segment junctions are formulated and integrated with our developed single-segment straight interconnect postbuckling theory, enabling a systematic method for accurate postbuckling analysis of multi-segment interconnects. Crucially, to ensure the accuracy of the postbuckling analysis, it is demonstrated that these mechanical continuity conditions must account for displacement terms up to the 3rd order. A zigzag interconnect under stretch is analyzed as a representative example using the proposed method, revealing the presence of both symmetric and anti-symmetric buckling modes. For both buckling modes, the analysis establishes the relationships between the apparent applied strain and maximum deformation quantities, namely the maximum twist angle for the symmetric mode and the maximum lateral displacement for the anti-symmetric mode, and evaluates the impact of inter-segment angles on postbuckling load increments. This analytical framework provides an efficient theoretical basis for the design of stretchable electronics.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"330 ","pages":"Article 113884"},"PeriodicalIF":3.8,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146171627","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 framework for finite-strain viscoelasticity based on rheological representations","authors":"Chongran Zhao,&nbsp;Hongyan Yuan,&nbsp;Ju Liu","doi":"10.1016/j.ijsolstr.2026.113893","DOIUrl":"10.1016/j.ijsolstr.2026.113893","url":null,"abstract":"<div><div>This work presents a new constitutive and computational framework based on strain-like internal variables belonging to Sym(3) and two representative rheological configurations. The generalized Maxwell and generalized Kelvin–Voigt models are considered as prototypes for parallelly and serially connected rheological devices, respectively. For each configuration, distinct kinematic assumptions are introduced. The constitutive theory is derived based on thermomechanical principles, where the free energies capture recoverable elastic responses and dissipation potentials govern irreversible mechanisms. The evolution equations for the internal variables arise from the principle of maximum dissipation. A key insight is the structural distinction in the constitutive laws resulted from the two rheological architectures. In particular, the Kelvin–Voigt model leads to evolution equations with non-equilibrium processes coupled, which pose computational challenges for the constitutive integration. To address this, we exploit the Sherman–Morrison–Woodbury formula and extend it to tensorial equations to design an efficient strategy during constitutive integration. With that strategy, the integration can be performed based on an explicit update formula, and the algorithmic complexity scales linearly with the number of non-equilibrium processes. This framework offers both modeling flexibility and computational feasibility for simulating materials with multiple non-equilibrium processes and complex rheological architectures under finite strain.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"330 ","pages":"Article 113893"},"PeriodicalIF":3.8,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146171628","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":"Scattering of cylindrical waves by a finite crack in 2D: dynamic stress intensity factors governed by wavefront curvature","authors":"Shangqi Yuan ,&nbsp;Fuqing Chu ,&nbsp;Hui Qi ,&nbsp;Haikun Chen ,&nbsp;Jing Guo","doi":"10.1016/j.ijsolstr.2026.113879","DOIUrl":"10.1016/j.ijsolstr.2026.113879","url":null,"abstract":"<div><div>The scattering of elastic waves by cracks is a fundamental mechanism governing dynamic fracture and structural integrity assessment. While solutions for plane wave incidence are well-established, the more practically relevant scenario of scattering by cylindrical wavefronts has remained a significant analytical challenge due to the complex, spatially non-uniform loading it induces along finite crack faces. This work presents the comprehensive semi-analytical solution for the scattering of time-harmonic cylindrical SH-waves by a finite Griffith crack in an infinite, homogeneous, isotropic elastic medium. The solution is achieved via a rigorous regional matching method that systematically decomposes the domain into near-tip regions, capturing the asymptotic singularity, and a far-field region accommodating wave propagation. This framework enables the direct and computationally efficient extraction of frequency-dependent dynamic stress intensity factors (DSIFs). Our results reveal a pronounced and persistent crack-tip asymmetry in the DSIFs under oblique incidence. A detailed parametric study demonstrates that wavefront curvature alters the dynamic fracture response, significantly expanding the critical azimuthal range for crack activation in the near-field and inducing complex, tip-dependent oscillatory behavior. The model has been rigorously verified against the classical plane-wave solutions and provides a definitive benchmark and a powerful analytical framework that advances the fundamental understanding of wave-scattering by defects in elastic media, with primary implications for the core theories of dynamic fracture.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"330 ","pages":"Article 113879"},"PeriodicalIF":3.8,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146171630","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 analysis of bending of a heterogeneous plate with irregularly-shaped inclusions","authors":"Emad Hasrati,&nbsp;Ankur Jain","doi":"10.1016/j.ijsolstr.2025.113828","DOIUrl":"10.1016/j.ijsolstr.2025.113828","url":null,"abstract":"<div><div>Composite and functionally graded materials are used commonly in a broad variety of engineering systems. This work presents theoretical bending analysis of a simply supported heterogeneous rectangular plate containing discrete inclusions of irregular shapes. The commonly used governing equation for a homogeneous plate is generalized by accounting for inclusions of irregular shapes and different mechanical properties embedded within the plate. The heterogeneous plate problem is then solved by representing the spatial distributions of elastic moduli and Poisson’s ratios using Heaviside functions, thereby enabling an exact and efficient modeling of sharp discontinuities in these properties at the plate-inclusion interfaces. A series solution for the displacement field is derived using the integral and differential properties of the Heaviside function. The derivation is an exact generalized approach to handle multi-inclusion configurations with nonuniform properties, in contrast with previously presented approximate techniques such as homogenization and laminate approximation. Results are shown to reduce to the well-known Navier solution under special conditions. Good agreement with independent finite element simulations is also shown. A key finding of this work is that the location and shape of discrete inclusions, particularly their intersection with the high-bending regions of the plate, significantly influence the magnitude and spatial distribution of transverse deflection. Notably, stiff inclusions tend to displace the deflection peak away from themselves, while soft inclusions attract it, and in both cases, proximity to the plate boundaries can reverse these trends due to geometric and support-induced constraints. The technique developed here enables analysis of a number of practical problems comprising heterogeneous composites, as demonstrated through several examples. In addition to extending the state-of-the-art in theoretical analysis of composite structures, this work may also find practical applications in a number of engineering systems where such materials are used commonly.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"330 ","pages":"Article 113828"},"PeriodicalIF":3.8,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146171589","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}