{"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, 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, Peirong Zhong, Jinxin Xiao, Tianlin Jiang, Yukun Zhou, 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, 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}
{"title":"An experimental study into uncertainty and scatter in the compressive response of closed cell metallic foams","authors":"Jörg Hohe, Ilir Ajvazi, Lutz Reissig, Carla Beckmann","doi":"10.1016/j.ijsolstr.2025.113368","DOIUrl":"10.1016/j.ijsolstr.2025.113368","url":null,"abstract":"<div><div>Objective of the present study is an experimental investigation of the uncertainty effects in the mechanical properties of closed-cell foams caused by their microstructural disorder. Using an aluminum foam manufactured by a powder-metallurgical route, the correlations between microstructure and mechanical properties are analyzed. The microstructure is characterized in terms of density as well as cell size and geometry in dependence on the individual spatial direction and position, respectively. Subsequently, the mechanical properties are determined in compression experiments, also considering spatial position and testing direction. In order to provide a profound statistical data base, a total of 147 experiments is performed. The results are analyzed with respect to the probability distributions of the individual microstructural and mechanical material properties as well as their correlation.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113368"},"PeriodicalIF":3.4,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143815117","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}
Insaf Echerradi , Daniel Weisz-Patrault , Michael Peigney
{"title":"Fast mesoscopic model of plasticity in polycrystals to compute probabilistic S–N curves in high cycle fatigue","authors":"Insaf Echerradi , Daniel Weisz-Patrault , Michael Peigney","doi":"10.1016/j.ijsolstr.2025.113348","DOIUrl":"10.1016/j.ijsolstr.2025.113348","url":null,"abstract":"<div><div>High cycle fatigue in polycrystals is mostly governed by deterministic laws such as crystal plasticity, but also depends on probabilistic properties, such as random defects and crystallographic and morphological textures, which result in significant scatter of fatigue lifetime at the macroscopic scale. Thus, modeling fatigue phenomena so that the probabilistic density function of failure is anticipated, would be useful especially for very high cycle fatigue involving up to <span><math><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mn>9</mn></mrow></msup></mrow></math></span> cycles. To do so, the grain structure with crystal orientations should be considered in full field computations, which usually involve prohibitive computation cost therefore hindering numerical exploration of statistical distribution of fatigue failures.</div><div>This paper therefore consists of developing a very fast full field mesoscopic model of polycrystals subjected to crystal plasticity during cyclic loading based on energy minimization techniques. As a result, the uniform plastic slip in each grain is obtained in the form of a relatively simple recursive formula, which guarantees short computation time even for very high cycle fatigue. The proposed approach has been validated against a classical crystal plasticity finite element model in 2D, and satisfying agreement is observed. In addition the model has been applied in combination with classical fatigue criteria to rapidly compute the fatigue lifetime and then derive probabilistic S–N curves, hence creating a substantial link between crystallographic and morphological textures on the one hand, and fatigue lifetime estimations on the other hand.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113348"},"PeriodicalIF":3.4,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143800583","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":"Effective specific heat of multi-phase composites using effective field methods","authors":"E. Polyzos, D. Van Hemelrijck, L. Pyl","doi":"10.1016/j.ijsolstr.2025.113353","DOIUrl":"10.1016/j.ijsolstr.2025.113353","url":null,"abstract":"<div><div>This work discusses the effective specific heat of multi-phase composites. A new formulation is provided using property contribution tensors and the specific heat contribution tensor (scalar) is derived in the framework of the Non-interaction, the Mori–Tanaka, and the Maxwell effective field methods (EFMs). The novel formulas are presented for the general case of an anisotropic matrix with anisotropic inhomogeneities of diverse shapes and orientations. Two limited cases of particulate and fibrous two-phase composites are discussed and the results of the novel formulation are compared to results of experiments and finite element models, and exhibit a great agreement.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113353"},"PeriodicalIF":3.4,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143785797","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":"An Eulerian formulation of a constrained variable thickness growing Cosserat shell","authors":"M.B. Rubin , G. Tomassetti","doi":"10.1016/j.ijsolstr.2025.113364","DOIUrl":"10.1016/j.ijsolstr.2025.113364","url":null,"abstract":"<div><div>Constitutive equations for Cosserat shell theory are usually developed using a Lagrangian formulation based on a zero-stress reference configuration. However, for growing shells a zero-stress state, if it exists, can change. The main objective of this paper is to propose an Eulerian formulation of constitutive equations for a growing shell. The director normal to the shell’s mid-surface is constrained to remain normal to that surface, but is allowed to have a variable length to model non-uniform thickness changes of the shell. Elastic measures of dilatation, distortional deformation, mean and Gaussian curvatures are determined by evolution equations that are independent of a reference or intermediate configuration. These evolution equations model homeostasis, which is the process of growth causing a tendency for these variables to approach their homeostatic values. Examples of a growing spherical shell are used to examine aspects of the proposed theory.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"316 ","pages":"Article 113364"},"PeriodicalIF":3.4,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143823599","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}
Minjae Kim , Jan Schenzel , Florian Pape , Benjamin Bergmann , Berend Denkena , Gerhard Poll
{"title":"Investigation of the local friction behavior in the secondary shear zone by coupling of chip formation and microscale contact simulation","authors":"Minjae Kim , Jan Schenzel , Florian Pape , Benjamin Bergmann , Berend Denkena , Gerhard Poll","doi":"10.1016/j.ijsolstr.2025.113367","DOIUrl":"10.1016/j.ijsolstr.2025.113367","url":null,"abstract":"<div><div>This study examines local friction behavior at the chip–tool interface in metal cutting by integrating chip formation and microscale contact simulations. This research examines the mechanical effects of high-pressure metalworking fluid (MWF) supply on chip formation, specifically its impact on frictional interactions at the tool–chip interface. Through finite element modeling and a microscale contact model, this study provides detailed insights into the effects of high-pressure MWFs on local friction coefficients, contact length, and pressure distribution in the secondary shear zone. Experimental validation using high-speed orthogonal cutting tests demonstrates strong agreement between simulated and observed results, confirming the effectiveness of the multi-scale model. The findings suggest that optimized high-pressure lubrication significantly enhances tool life, reduces process forces, and improves surface quality, making it a valuable strategy for advanced machining applications.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113367"},"PeriodicalIF":3.4,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143808722","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":"Geometric curvature effects-induced twisting mechanics of a double helical structure","authors":"Bing Wang , Biao Xu , Chenmin Zhao , Xiayu Chen , Chenglong Guan , Jianfeng Zhong , Shuncong Zhong","doi":"10.1016/j.ijsolstr.2025.113369","DOIUrl":"10.1016/j.ijsolstr.2025.113369","url":null,"abstract":"<div><div>The rapid development of aerospace technology has continuously promoted the demand for lightweight and systematic design of twisting structures, where advanced composites have drawn great expectations. A double helical structure has been developed to introduce large axial twistable capability, where thin-walled cured composite strips with a longitudinal curvature were prestressed or flattened to be employed as shape-changing units, and then assembled by using rigid spokes, pins, or webs; however, its twisting performance would be susceptible to thermal effects, and affected by the curvature variations induced by flattening and assembling of the precured curved strips. Here, we proposed a novel double helical structural design, where thin-walled curved tapes with transverse curvature were applied as the shape-changing units without prestressing. The double helical structures were produced and investigated with isotropic transverse curved tapes, orthotropic flat strips, as well as orthotropic transverse curved tapes, in order to reveal its geometric curvature effects-induced twisting mechanics. An inextensible shell model was formulated to analyse the shape-changing process, and expose the regulating mechanisms on structural stability. Experiments and finite element analysis were carried out to investigate the material and geometric curvature dependencies. It is found that the material orthotropy contributes to the bistability of the helical structure; geometric curvature promotes the stiffness and shape-changing stability of the double helix. The twisting mechanisms were then concluded in detail. These findings are expected to facilitate torsional structural design and application of deployable composite structures for aerospace engineering.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"315 ","pages":"Article 113369"},"PeriodicalIF":3.4,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143808724","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}