International Journal of Solids and Structures最新文献

{"title":"Localizations and mode transition of cylindrical shells with geometrical imperfections under axial compression: Numerical and experimental investigations","authors":"V. Ravulapalli ,&nbsp;G. Raju ,&nbsp;M. Ramji ,&nbsp;V. Narayanamurthy","doi":"10.1016/j.ijsolstr.2025.113375","DOIUrl":"10.1016/j.ijsolstr.2025.113375","url":null,"abstract":"<div><div>The bending-dominated post-buckling deformations of cylindrical shells offer valuable opportunities for designing compliant mechanisms in soft materials. A deep understanding of the mechanics behind mode localization and transition phenomena is crucial for tailoring periodic mode shapes in shells. In this study, both finite element and experimental studies are conducted to explain the mechanics of circumferential snaking and mode jump phenomena using strain energy density as a key parameter. The numerical analysis reveals the complex interplay between the geometry and strain energy distribution during the snaking phenomenon. In this process, membrane strain energy stored in the structure is converted into bending strain energy, which is then redistributed to localized geometrical features within the periodic mode shape. Furthermore, the study examines the relationship between bending strain energy evolution and geometric transitions that occur during a mode jump, which leads to a reduction in the circumferential wave number of the shell’s periodic mode shape. Experimental validation is performed on 3D-printed cylindrical shells using a multi-3D Digital Image Correlation (DIC) setup. A methodology based on Sander-Koiter’s kinematics is developed to evaluate the full-field bending strain energy density distributions in the shells. The experimental results align with the numerical simulations, providing valuable insights into the nonlinear post-buckling behavior of cylindrical shells. These findings can be applied to the design of continuous compliant-shell mechanisms in soft robotics paving the way for advanced flexible mechanical systems.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113375"},"PeriodicalIF":3.4,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143852068","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":"Phase-field model for fatigue crack growth in piezoelectrics: Energetically consistent boundary condition","authors":"Yu Tan ,&nbsp;Wei Rao ,&nbsp;Ke Wan ,&nbsp;Kun Peng ,&nbsp;Jianjun Zhao ,&nbsp;Xiangyu Li","doi":"10.1016/j.ijsolstr.2025.113378","DOIUrl":"10.1016/j.ijsolstr.2025.113378","url":null,"abstract":"<div><div>Piezoelectrics are often subjected to cyclic loads during service, leading to the occurrence of fatigue fracture. Traditional models typically employ the ideal electric boundary conditions to describe the distribution of electric field on crack faces, which may fail to accurately reflect the influence of electric properties on the fatigue life of piezoelectrics. In this work, a phase-field model for fatigue crack growth in piezoelectrics is proposed. By constructing the suitable degradation function, the energetically consistent boundary condition (ECBC) is involved in the present model. The ECBC considers the effect of crack-filled mediums on electric properties, allowing for a more accurate description of electric characteristics on crack faces. Numerical simulations are performed to investigate the effects of the electric boundary condition and external electric field on fatigue behaviors of piezoelectrics. The medium within the crack may significantly affect the fatigue life of piezoelectrics. The higher the relative dielectric constant of the ECBC, the closer the predicted fatigue life is to the situation under electrically permeable boundary condition. The present study may provide a theoretical tool for assessing the lifetime of piezoelectrics.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113378"},"PeriodicalIF":3.4,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143859811","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":"Design of a ferroelectric/dielectric bilayer structure with switchable hysteresis via voltage control","authors":"Xinlong Yu,&nbsp;Haoqing Li,&nbsp;Yu Su","doi":"10.1016/j.ijsolstr.2025.113392","DOIUrl":"10.1016/j.ijsolstr.2025.113392","url":null,"abstract":"<div><div>Multilayer ferroelectric thin films have attracted a lot of research attention in recent years due to their ability to produce topological domain structures and their outstanding energy storage performance. In this study we propose a bilayer thin-film design consisting of a BaTiO₃ ferroelectric layer and a dielectric layer with specifically selected dielectric constant and layer thickness ratio. The hysteresis behavior of this bilayer system can switch among various characteristics by controlling the applied voltage to the system. We quantitatively investigated the effects of the material parameter and the layer thickness ratio on the hysteresis performance of the bilayer system via phase-field simulation. It is demonstrated that one is able to achieve switchable hysteresis with ferroelectric, antiferroelectric-like or relaxor-ferroelectric-like characteristics by assigning various values to the dielectric constant of the dielectric layer. In addition, the switching between antiferroelectric-like and relaxor-ferroelectric-like characteristics can be achieved by adjusting the amplitude of the applied electric field. Remarkable topological domain structures were found in the bilayer system with relaxor-ferroelectric-like hysteresis. One is able to achieve outstanding energy storage density of 123 J/cm³ and energy storage efficiency of 90 % at the amplitude of 10 MV/cm with the antiferroelectric-like hysteresis. This design method may be applied to other multilayer systems to achieve enhanced domain-structure control and energy storage performance.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113392"},"PeriodicalIF":3.4,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143847570","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 material fabric on gravity flow in fresh concrete","authors":"Kumar Anjneya,&nbsp;Arghya Deb","doi":"10.1016/j.ijsolstr.2025.113386","DOIUrl":"10.1016/j.ijsolstr.2025.113386","url":null,"abstract":"<div><div>The paper investigates the influence of material fabric on gravity flow in fresh concrete. A discrete element method (DEM) based approach is developed: polyhedral particles of random shape and size are used to model the coarse aggregates. This enables the effect of <em>meso</em>-geometry to be studied. A meso constitutive model appropriate for fresh concrete is proposed. The DEM model is experimentally validated, and used to simulate gravity flow. The results shed light on the role of fabric anisotropy, whose history is found to be crucial in determining the rate of slump and spread. The history of the flow is seen to be separable into a pre-peak fabric-dominated regime, where there is a sharp build-up in anisotropy, and a post-peak momentum-dominated regime, where randomness is restored to the fabric. The evolution of fabric anisotropy also provides information on the stability of the mix: a large drop in anisotropy in the post-peak regime is seen to coincide with a tendency for the larger particles to separate, contributing to slower spread. The overall conclusion is that gravity flow in a dense two-phase system such as concrete is sensitive to the interplay between fabric anisotropy and the intensity of the contact-driven constraints impeding flow.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113386"},"PeriodicalIF":3.4,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143847568","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":"Numerical study on crack tip fields in liquid crystal elastomers","authors":"Qiang Guo ,&nbsp;Rong Long ,&nbsp;Shengqiang Cai","doi":"10.1016/j.ijsolstr.2025.113389","DOIUrl":"10.1016/j.ijsolstr.2025.113389","url":null,"abstract":"<div><div>This study presents a numerical investigation into the crack tip fields in liquid crystal elastomers (LCEs) using finite element simulations. LCEs exhibit unique mechanical behaviors, such as soft elasticity and directionally adjustable anisotropy, due to the coupling between the deformation of polymer networks and the rotation of liquid crystal mesogens. The numerical simulations focus on a rectangular LCE plate with a small central crack, subjected to uniform stretching. Simulation results reveal the presence of a uniaxial stress state near the crack tip and a universal stress singularity obeying a power law with an exponent of −1. Along the circumferential direction around the crack tip, the stress distribution exhibits a prominent polarization, with the polarization direction precisely aligned with the initial mesogen orientation. For the mesogen reorientation at the crack tip, two types of mesogen rotation—rigid body rotation with the polymer network and relative rotation due to network stretching—are distinguished. The rigid body rotation is found to cause significant heterogeneity in mesogen orientation at the crack tip, but the relative rotation tends to make the mesogen orientation more uniform, generally aligning with the direction of applied stretch. The final mesogen orientation, determined by the initial orientation and rotation, is closely related to the magnitude of the stress field at the crack tip. These findings provide valuable insights into the fracture behavior of LCEs and can serve as a foundation for future experimental and theoretical studies.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113389"},"PeriodicalIF":3.4,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143842662","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 solution for adhesive contact of magneto-electro-elastic composites under an axisymmetric power-law indenter: A Maugis–Dugdale framework","authors":"Qing-Hui Luo ,&nbsp;Yue-Ting Zhou","doi":"10.1016/j.ijsolstr.2025.113391","DOIUrl":"10.1016/j.ijsolstr.2025.113391","url":null,"abstract":"<div><div>Switchable adhesion in response to external stimuli plays a critical role in various applications such as transfer printing, climbing robots and soft gripper. Multiferroic composites can give specific responses to mechanical-electro-magnetic loadings due to their multi-field coupling effects, which offers new routines to achieve tunable adhesion. In this work, the classical Maugis–Dugdale (M−D) adhesion model is extended to address the axisymmetric adhesive contact problem between a multiferroic composite half-space and an axisymmetric power-law indenter with real shape index <em>n</em>. By virtue of the superposition principle and Griffith energy balance, analytical solutions of the physical quantities at the contact surface and the relationships among the indentation force, contact radius and indentation depth for M−D-<em>n</em> model are obtained. The Derjaguin–Muller–Toporov (DMT)-<em>n</em> solutions applicable to multiferroic composites are derived from the corresponding M−D-<em>n</em> solutions as the limiting cases, which are new to literature and acquired in this work for the first time. The effects of the electromagnetic properties and the profile of the indenter on adhesion behaviors are discussed. It is found that the electromagnetic properties of the indenter have hardly influence on adhesion behaviors in the absence of electromagnetic loadings, which means that one can replace the multi-field coupling adhesion solutions with the purely elastic adhesion solutions in nanoindentation characterization of multiferroic composites under this circumstance. The profile of the indenter has a prominent effect on the transition behavior from DMT-<em>n</em> solution to JKR-<em>n</em> solution. The adhesion enhancing effect induced by the electromagnetic loadings diminishes with increasing the shape index of the indenter and the magnitude of the generalized Tabor parameter. The results obtained from this work not only lay the theoretical basis for nanoindentation technique in characterizing material properties of multiferroic composites, but also possess potential application value in switchable adhesion.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113391"},"PeriodicalIF":3.4,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143842666","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":"Angle-dependent peeling behavior of compliant nanofilms on planar substrates","authors":"Xuebo Yuan","doi":"10.1016/j.ijsolstr.2025.113380","DOIUrl":"10.1016/j.ijsolstr.2025.113380","url":null,"abstract":"<div><div>The peeling of compliant nanofilms from supporting substrates is essential in mechanical exfoliation techniques, biomimetic adhesives, and nanoelectromechanical systems. Prior to the steady state, the peeling force typically increases in the initial stage and then decreases nonlinearly in the transition stage. However, existing mechanics models rarely capture the effects of the film’s tensile stiffness and peeling angle on these two stages, particularly the initial peeling stiffness and peak peeling force. Though extending a recent model (<span><span>Yuan et al., 2024</span></span>) by accurately incorporating the film’s in-plane deformation and arbitrary peeling angle, this work establishes a comprehensive large-deformation model using the energy-variational method. The proposed model effectively predicts the entire peeling process across different peeling angles and is validated by molecular dynamics simulations. For relatively large peeling angle, the film’s tensile stiffness exhibits minor effect on the peeling behavior. The influences of the peeling angle on the peeling process, peeling stiffness, and peak peeling force are analyzed in detail. Through dimensional analysis, an explicit scaling relation for the peak peeling force is derived, accounting for system parameters such as peeling angle, film stiffness, structural parameters, and interfacial properties. This work provides a comprehensive model for the peeling behavior of nanofilm-substrate systems, offering new insights into the atomic-scale interface mechanics of two-dimensional materials.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113380"},"PeriodicalIF":3.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143847569","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 and experimental validation of anti-tri chiral lattice metamaterial for broadband vibration suppression","authors":"Vahid Tikani,&nbsp;Saeed Ziaei-Rad","doi":"10.1016/j.ijsolstr.2025.113384","DOIUrl":"10.1016/j.ijsolstr.2025.113384","url":null,"abstract":"<div><div>A key challenge in metamaterials design is to optimize the anti-tri chiral structure with precise and controllable geometry, considering performance criteria. This work proposes a parametric anti-tri chiral lattice made from Polylactic acid (PLA) polymer to open the wide bandgap for vibration suppression. Experiments and theoretical methods study anti-tri chiral lattice to analyze the vibration attenuation features of the metamaterial. The band structure was studied in terms of the geometry parameters of the unit cell to investigate the effect of geometry changes on the bandgap size. To ensure the best geometry of the anti-tri chiral unit cell, an automated optimization process is conducted using MATLAB and COMSOL Multiphysics based on Non-dominated Sorting Genetic Algorithm II (NSGA-II). Two optimization cases were performed with different objectives, and the results indicated that the optimized geometry yields enhanced vibration suppression capabilities and a wide complete bandgap. Finally, the anti-tri chiral lattice is fabricated using Fused Deposition Molding (FDM), and experimental testing is performed to validate the proposed design.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113384"},"PeriodicalIF":3.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143842665","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":"Vibration theory of piezoelectric plate with gradient thickness to frequency programmable design","authors":"Jialin Zuo,&nbsp;Peirong Zhong,&nbsp;Jinxin Xiao,&nbsp;Tianlin Jiang,&nbsp;Yukun Zhou,&nbsp;Wenhua Zhang","doi":"10.1016/j.ijsolstr.2025.113381","DOIUrl":"10.1016/j.ijsolstr.2025.113381","url":null,"abstract":"<div><div>In today’s smart device applications, optimizing the properties and designing characteristics of piezoelectric materials is critical. This paper derives vibration theory of piezoelectric plate with gradient (stepped/continuous) thickness and investigates their mechanical–electrical coupling mechanism during vibration and the resonance behavior. With this theory, we have established the mapping relationship between the radius, thickness distribution, and intrinsic frequency of a piezoelectric plate with gradient thickness. It is a challenge to solve the multi-parameter inversion problem, determining the structural radius and thickness distribution through a given frequency. In this paper, a self-learning optimization loop algorithm is used to determine the frequency response ranges for variable-thickness plates with different radii, enabling rapid design for target frequencies. Subsequently, the theory is validated through a full-field scanning laser vibrometer experiment, with error for the first seven orders of the intrinsic frequency are ranges from 0.4% and 5%. This study presents a scheme for the frequency forward design of piezoelectric thin plates and demonstrate an interesting case of tone scale design. By thoroughly investigating the mechanical–electrical coupling mechanism of piezoelectric plate with gradient thickness during vibration, it is expected that this study will not only reveal its complex physical phenomena, but also provide a theoretical basis for optimal design.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113381"},"PeriodicalIF":3.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143842663","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":"Fracture toughness of hierarchical lattice materials","authors":"Akseli Leraillez,&nbsp;Luc St-Pierre","doi":"10.1016/j.ijsolstr.2025.113374","DOIUrl":"10.1016/j.ijsolstr.2025.113374","url":null,"abstract":"<div><div>Natural materials, such as wood and bone, have a high fracture toughness and this is often attributed to their hierarchical microstructures. While previous studies have shown that hierarchy can increase the buckling strength of lattice materials, a detailed analysis of its impact on fracture toughness is missing. Here, we used analytical modeling and finite element simulations to predict the mode I and mode II fracture toughness of three hierarchical topologies: hexagonal, triangular, and Kagome lattices. Hierarchy significantly improved the fracture toughness of the bending-dominated hexagonal lattice. Notably, the hierarchical hexagonal lattice has a fracture toughness <span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>I</mi><mi>C</mi></mrow></msub></math></span> that scales linearly with relative density <span><math><mover><mrow><mi>ρ</mi></mrow><mrow><mo>̄</mo></mrow></mover></math></span>, whereas its non-hierarchical counterpart has <span><math><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>I</mi><mi>C</mi></mrow></msub><mo>∝</mo><msup><mrow><mover><mrow><mi>ρ</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow><mrow><mn>2</mn></mrow></msup></mrow></math></span>. In contrast, hierarchy did not improve the toughness of stretching-dominated triangular and Kagome lattices. Hierarchy did, however, modify the behavior of a Kagome lattice: its hierarchical design has a toughness that scales linearly with relative density, whereas <span><math><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>I</mi><mi>C</mi></mrow></msub><mo>∝</mo><msqrt><mrow><mover><mrow><mi>ρ</mi></mrow><mrow><mo>̄</mo></mrow></mover></mrow></msqrt></mrow></math></span> for its non-hierarchical counterpart. This work presents scaling laws for the fracture toughness of hierarchical lattices, enabling the design of tough architectures at very low densities.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113374"},"PeriodicalIF":3.4,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143823598","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}