International Journal of Solids and Structures最新文献

{"title":"Surface curvature regulation of 3D kirigami soft gripper","authors":"Jian Wu ,&nbsp;Bohan Yang ,&nbsp;Zhe Li ,&nbsp;Shixue He ,&nbsp;Yingxuan Bu ,&nbsp;Benlong Su ,&nbsp;Youshan Wang","doi":"10.1016/j.ijsolstr.2025.113410","DOIUrl":"10.1016/j.ijsolstr.2025.113410","url":null,"abstract":"<div><div>Kirigami principles have been integrated into flexible grippers, exploiting the shape transforming advantages to improve the grippers’ performance and broaden the varieties upon which can be operated. However, few studies have adopted the 3D polygonal auxetic kirigami as the main structure of the gripper, due to its complex spatial design process, narrowed means of fabrication and multi-freedom actuation. Herein, gripper deformation based on auxetic kirigami under a simple actuation of 1-DoF is studied via an energy minimization framework. Firstly, a spring potential energy minimization problem of the 3D kirigami with geometric constraints is solved to obtain its deployment path and energy landscape. Then the deformed surface is analyzed using discrete Gauss-Bonnet theorem, proposing a method to regulate the shape morphing into the targets. Finite element analysis is used to verify the kirigami design framework and shape prediction. Finally, different types of kirigami grippers are fabricated and tested, achieving effective conformation and grasping of typically shaped objects, while exhibiting universal, easily actuated characteristics. These findings contribute to advancing the field of robotic handling and manipulation, particularly in applications requiring gentle and compliant interactions with diverse and specifically delicate objects.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"317 ","pages":"Article 113410"},"PeriodicalIF":3.4,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143881361","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":"Wohlhart 6R linkage-based asymmetric deployable structures with generalised contours","authors":"Runjin Zhou ,&nbsp;Yuchen Yang ,&nbsp;Chenying Liu ,&nbsp;Ruyi Guo ,&nbsp;Houhua Hu ,&nbsp;Jun Zhang ,&nbsp;Fufu Yang","doi":"10.1016/j.ijsolstr.2025.113388","DOIUrl":"10.1016/j.ijsolstr.2025.113388","url":null,"abstract":"<div><div>Deployable structures based on rigid mechanisms are unconventional structures that can achieve transformations from compact folded states to fully deployed surfaces. The mechanisms are of very low or even single mobility, making the deployment process simpler. Such structures have found significant applications across various fields such as architecture, aerospace engineering, and robotics. Currently, the constituent mechanisms of these structures often come with symmetric geometric conditions, thereby yielding symmetric contours. However, this symmetry requirement makes it less desirable for specific scenarios where more generalised shapes are required. To fill the gap, this paper introduces two novel asymmetric deployable structures whose outlines can be arbitrary triangles based on the Wohlhart 6<em>R</em> linkage. The first structure is made from rod links, capable of transforming between two plane-like states. The second one is a modified version that incorporates rigid panels of uniform thickness as links, which can be folded from a long triangular prism to a shorter one. Their kinematic behaviours are analyzed in detail and validated by physical prototypes. We have also identified viable approaches to tessellating both structures into networks for large-scale applications. This work lays a crucial step towards the construction of asymmetric deployable structures with generalised contours.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"317 ","pages":"Article 113388"},"PeriodicalIF":3.4,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143887547","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":"Wrinkling analysis of a stiff shallow film mounted on a cylindrically curved compliant substrate, Part I: Cylindrical mode","authors":"Alexis Kordolemis ,&nbsp;Antonios E. Giannakopoulos","doi":"10.1016/j.ijsolstr.2025.113382","DOIUrl":"10.1016/j.ijsolstr.2025.113382","url":null,"abstract":"<div><div>It is well known that when a material bilayer which consists of a stiff thin film perfectly bonded on a compliant substrate develops mechanical instabilities upon the application of in-plane compressive loads. This paper investigates in depth a particular surface instability, namely the one dimensional cylindrical mode, for the case where the initial configuration of the bilayer is cylindrically curved and is acted upon membrane biaxial strains. The investigation of the role of the curvature-induced anisotropy to the geometrical characteristics of the cylindrical wrinkling mode, i.e. the wavelength and the amplitude, is the main focus of this study. To this end, the film is modelled as a thin shallow shell and is analysed within the framework of the general shallow shell theory while the mechanical behaviour of the much softer substrate is investigated through linear elasticity theory for solids. Two cylindrical modes are presented analytically, namely along and across the ridge of the initial curvature, and it has been found that the latter is the favoured wrinkling mode due to the lower total energy of the bilayer in the buckled state. The perturbation method has been employed for the calculation of the displacement components in the compliant substrate and semi-analytical expressions for the wavelengths and the amplitudes are presented which may act as a useful design tool. The results of the present study are in good agreement compared to the results of other studies available in the open literature.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"317 ","pages":"Article 113382"},"PeriodicalIF":3.4,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143867724","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 novel versatile axisymmetric specimen for mixed-mode I/II characterization of adhesively bonded joints","authors":"Dorin Andoni,&nbsp;Tommaso Maria Brugo,&nbsp;Dario Croccolo,&nbsp;Massimiliano De Agostinis,&nbsp;Stefano Fini,&nbsp;Giorgio Olmi,&nbsp;Andrea Zucchelli,&nbsp;Mattia Mele","doi":"10.1016/j.ijsolstr.2025.113377","DOIUrl":"10.1016/j.ijsolstr.2025.113377","url":null,"abstract":"<div><div>The characterization of the fracture toughness of adhesive joints under mixed-mode I/II loading conditions is crucial for many real-world applications. Specifically, understanding the behaviour of joints under mixed loads is essential for the development of reliable numerical models. This study presents a novel specimen testing methodology for characterizing mode mixity. Unlike existing methods in the literature, the proposed procedure relies on easily manufacturable axisymmetric specimens and simple testing techniques. Comparisons with existing studies demonstrate that the method can be effectively applied for the characterization of both pure mode I and mode II fracture toughness. These data can then be used to inform a Cohesive Zone Model (CZM) of the joint. Experimental validation shows that the model can accurately predict the joint’s behaviour under mixed-mode I/II loading conditions. Thus, this methodology significantly simplifies the testing procedures required to fully characterize an adhesive under generic loading conditions. Moreover, the proposed specimen design can be used on different testing machines for the characterization at different strain rates.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"317 ","pages":"Article 113377"},"PeriodicalIF":3.4,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143917408","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":"Global stability formulation of a non-unified Miura origami-patterned slender tube","authors":"Yangqing Liu ,&nbsp;Xinrui Zhang ,&nbsp;Qin Yu ,&nbsp;Zhiqiang Liu ,&nbsp;Xinyu Cai ,&nbsp;Marco Meloni","doi":"10.1016/j.ijsolstr.2025.113406","DOIUrl":"10.1016/j.ijsolstr.2025.113406","url":null,"abstract":"<div><div>In structural engineering, axially compressed members with relatively high slenderness ratios are prone to global buckling. A promising solution to this issue is a tailored non-unified Miura-origami crease scheme, which has been proven to significantly mitigate global buckling in non-slender and slender tubes under axial compression. Building on previous work, this manuscript advances the research into stability evaluation of the patterned slender tube and proposes a quantification method for their global stability. First, the inertia moment of the patterned cross-section is theoretically derived, and the slenderness ratio of the tube is calculated with a modification coefficient of the critical load. Subsequently, a method for calculating the stability coefficient is obtained after parametric investigations on the effect of the geometry on the yield load by nonlinear finite element simulations. Finally, a quantification method for the global stability of the tube is proposed. The study shows that, in contrast to the typical Eulerian formula, the proposed method accounts for the reduction effect of the creases on the stability of the tube and effectively predicts its global stability. This method is expected to serve as a practical tool to promote and facilitate the application of origami-patterned tubes in structural engineering.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"317 ","pages":"Article 113406"},"PeriodicalIF":3.4,"publicationDate":"2025-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143876842","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":"Wrinkling analysis of a stiff shallow film mounted on a cylindrically curved compliant substrate, Part II: Checkerboard and hexagonal modes","authors":"Alexis Kordolemis ,&nbsp;Antonios E. Giannakopoulos","doi":"10.1016/j.ijsolstr.2025.113383","DOIUrl":"10.1016/j.ijsolstr.2025.113383","url":null,"abstract":"<div><div>A thin film mounted on a compliant substrate under biaxial compressive strains wrinkles in different patterns such as cylindrical, checkerboard, herringbone and hexagonal. In this paper, we provide a thorough analysis of the checkerboard and hexagonal wrinkling modes which have been well documented experimentally and numerically. Particular attention is paid to the role of the curvature-induced anisotropy in the geometrical characteristic of these particular surface wrinkling modes, <em>i.e</em>. the wavelengths in the two principal directions as well as the corresponding amplitudes. The film is assumed to be much stiffer than the substrate and the bilayer system is cylindrically curved and is acted upon biaxial compressive strains. The film is modelled as a shallow shell with finite rotations while the substrate is simulated as a linear three-dimensional elastic solid. Utilizing the minimization of the total energy of the system semi-analytical expressions for the critical values of the wavelengths and the corresponding amplitudes associated with the onset of the checkerboard and hexagonal mode are provided. The obtained results has been found to be in a very good agreement compared to experimental and numerical findings of other studies. It is shown that the presence of the initial curvature in the bilayer delays the critical strain and the wrinkling amplitudes significantly for both modes, compared to the flat system, and moreover explains the inward buckling of the hexagonal mode which has been observed experimentally.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"317 ","pages":"Article 113383"},"PeriodicalIF":3.4,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143868217","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 physical construction of the Ogden-Hill equation for soft elastomeric networks","authors":"Ziyu Xing","doi":"10.1016/j.ijsolstr.2025.113393","DOIUrl":"10.1016/j.ijsolstr.2025.113393","url":null,"abstract":"<div><div>The theory of rubber elasticity stands as a cornerstone in the study of soft matter. Despite nearly a century of development, many models remain largely phenomenological in nature, lacking a firm physical grounding. Addressing this fundamental challenge, this study advances a strain energy function theory of molecular basis, drawing from the worm-like chain model and the tube-like entanglement model. Diverging from classical approaches like the freely-jointed chain (FJC) model, the proposed framework offers a nuanced analysis of semi-flexible chains based on their end-to-end distance distributions, thus providing a more comprehensive understanding of polymer mechanics. Moreover, the entanglement of chains is characterized through the assessment of tube potential energy. Through a defined set of parameters, the model adeptly predicts the large deformation behaviors of vulcanized rubber across various experimental conditions including uniaxial tension, uniaxial compression, pure shear, and equi-biaxial tension. Additionally, it offers analytical insights into phenomena such as uniaxial tension and the inflation of an ideal balloon based on a set of parameters. During its application, the model’s resemblance to the Ogden-Hill form was noted, prompting a comparative analysis with well-known equations in this form (e.g., Varga equation, Neo-Hookean equation, Mooney-Rivlin equation, Mullins-Tobin equation, classical Ogden-Hill equation), thereby elucidating the physical underpinnings of the strain energy function. The proposed model posits the strain energy function as comprising three distinct components, i.e., affine motion, semi-flexibility, and entanglement—each manifesting distinct mechanical characteristics denoted by invariants. Furthermore, comparative assessments against the Carroll model, Pucci-Saccomnadi model, full-chain FJC model and the semi-flexible worm-like chain (WLC) model underscore the advantages of the proposed framework. Notably, the model exhibits a capacity to accurately predict rubber stress responses under large deformations without encountering singularities, thus rendering it amenable to finite element analysis (FEA). Finally, the efficacy of the proposed constitutive models is corroborated through rigorous comparisons with experimental data drawn from a spectrum of literature sources encompassing vulcanized rubber, natural rubber, elastomeric hydrogel, supramolecular elastomeric networks, and highly entangled elastomeric networks.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113393"},"PeriodicalIF":3.4,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143859812","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 geometrically nonlinear reduced-order method using hybrid-stress solid-shell formulations for 3D large deformation analysis of thin-walled structures","authors":"Ke Liang ,&nbsp;Jiaqi Mu ,&nbsp;Saullo G.P. Castro","doi":"10.1016/j.ijsolstr.2025.113385","DOIUrl":"10.1016/j.ijsolstr.2025.113385","url":null,"abstract":"<div><div>Post-buckling of thin-walled aeronautical structures induces failure modes related to skin-stiffener separation that require three-dimensional large deformation analyses for an accurate numerical prediction. Conventional finite elements are capable of solving such analyses, but with high associated computational costs, being therefore more utilized for the simulation of smaller structural components, or even restricted to perform virtual testing at coupon-level models. In this paper, a geometrically nonlinear reduced-order method using a hybrid-stress solid-shell formulation is proposed for large deformation analysis of thin-walled structures. Current reduced-order methods are mainly applicable to buckling problems, considering only the out-of-plane deformation. Furthermore, existing displacement-based reduced models involve a computationally expensive fourth-order tensor obtained with the higher-order strain energy variations. Here, a reduced-order model with only one degree of freedom is constructed for both in-plane and out-of-plane large deformation problems. It is shown that, with the hybrid-stress formulation, the constructional efficiency of the reduced system is largely improved by zeroing the fourth-order strain energy variation using the two-field Hellinger–Reissner variational principle, followed by a condensation of the stress terms that lead to a third-order approximation of the equilibrium equation. The nonlinear predictor solved by the reduced-order model can be corrected when its numerical accuracy is not satisfactory during the path-following analysis. A simple plate, a honeycomb cell with negative Poisson ratio, and a swept-back wing structure; are used as numerical examples to verify that the proposed method enables a superior path-following capability for the three-dimensional analysis of thin-walled structures undergoing large deflection, large rotation and large strains. Furthermore, an experimental validation of the proposed method is presented using a variable-thickness plate with mixed composite-metallic materials, undergoing large out-of-plane deflection.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"317 ","pages":"Article 113385"},"PeriodicalIF":3.4,"publicationDate":"2025-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143874734","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":"Characterization of residual stress distribution of film/substrate structure with elastic boundary: Theoretical modeling and experimental identification","authors":"Kunjie Sun ,&nbsp;Chengyi Shou ,&nbsp;Jubing Chen ,&nbsp;Chen Sun","doi":"10.1016/j.ijsolstr.2025.113379","DOIUrl":"10.1016/j.ijsolstr.2025.113379","url":null,"abstract":"<div><div>Film/substrate structures are extensively utilized in many fields due to their unique properties. Curvature-based techniques (CBTs) are employed to measure and analyze residual stresses within these structures. While existing theories have relaxed many limitations of CBTs, they primarily focus on the free boundaries of circular objects. To address this issue, this work presents an analytical method for evaluating residual stresses in film/substrate structures subjected to arbitrary misfit strains under elastic boundary conditions for the first time, and the proposed theory can be applied to objects of arbitrary shape. Based on linear elasticity theory, a system of coupled governing equations involving seven variables is established. The equations are decoupled and solved using Fourier series expansion and the method of constant variation. Random displacement fields with uniform, normal, and exponential distributions are utilized to examine the convergence of the results under various boundary stiffness conditions. Finite Element Method (FEM) is employed to validate the film stresses under different boundary conditions. Using Stoney formula as a rough estimate, an iterative algorithm has been developed to calculate equivalent boundary conditions for circular measurement boundaries. This algorithm enables dividing the object into multiple circular regions for individual measurement, facilitating the assessment of arbitrarily shaped objects. Finally, a monoscopic fringe reflectometry measurement system is developed to experimentally characterize the topography of specular surface. This system provides precise and efficient measurement of the topography of film/substrate structure. Utilizing this data, the full-field distribution of residual stresses is subsequently determined through an inversion process.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113379"},"PeriodicalIF":3.4,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143859813","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":"Stress-free temperature fields in thermoelastic quasicrystals","authors":"Viktoriya Pasternak ,&nbsp;Iaroslav M. Pasternak ,&nbsp;Heorhiy Sulym ,&nbsp;Ihor Hotsyk ,&nbsp;Roman Pasternak","doi":"10.1016/j.ijsolstr.2025.113390","DOIUrl":"10.1016/j.ijsolstr.2025.113390","url":null,"abstract":"<div><div>This paper studies the thermoelasticity of quasicrystal solids and identifies temperature distributions that do not induce thermal stresses. Unlike anisotropic crystalline solids, where a linear temperature distribution results in a stress-free state, such a distribution can generate thermal stresses in quasicrystal media. Thermal stresses arise due to incompatible thermal strain. Compatibility conditions for phason strain are derived, and stress-free linear temperature distributions are presented for different types of quasicrystals. Special attention is given to plane strain conditions, demonstrating the two-step mechanism by which thermal stresses develop in quasicrystals under plane strain. Using the Stroh formalism and a least-squares approach, the problem is solved for a finite quasicrystal solid, revealing a significantly nonlinear distribution of thermal stresses in response to certain linear temperature distributions (uniform heat flux).</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113390"},"PeriodicalIF":3.4,"publicationDate":"2025-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143850696","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}