International Journal of Solids and Structures最新文献

{"title":"Ductile damage analysis under extreme low-cycle biaxial shear loadings: Experiments and simulations","authors":"Zhichao Wei ,&nbsp;Marleen Harting ,&nbsp;Steffen Gerke ,&nbsp;Michael Brünig","doi":"10.1016/j.ijsolstr.2025.113292","DOIUrl":"10.1016/j.ijsolstr.2025.113292","url":null,"abstract":"<div><div>This paper addresses the experimental and numerical analysis of ductile damage under extremely low-cycle loading conditions with a large strain range. Shear cyclic loading stress states with stress triaxiality of approximately zero are generated using the biaxially loaded cruciform X0-specimen, with equal positive and negative forces applied to different loading axes. Monotonic and various symmetric cyclic loading patterns are designed to investigate the influence of loading histories on the material response at both macro- and micro-levels. The numerical calculations are performed using a novel anisotropic continuum damage model. For plasticity, the hydrostatic sensitivity Drucker–Prager yield condition with combined hardening is used to characterize the isotropic plastic behavior. Additionally, an anisotropic damage strain tensor that considers stress state influences is used to predict the occurrence and development of damage. Digital image correlation (DIC) technique and scanning electron microscopy (SEM) technique enable comparison of experimental and numerical results in different aspects. The numerical results for load–displacement curves, total strain field, and damage strains agree well with the experimental data, as confirmed by quantitative error analysis in load–displacement curves and statistical analysis of SEM images.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"313 ","pages":"Article 113292"},"PeriodicalIF":3.4,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Identifying hyperelastic material parameters using force balance and partial displacement data","authors":"Farshid Masoumi,&nbsp;Jia Lu","doi":"10.1016/j.ijsolstr.2025.113283","DOIUrl":"10.1016/j.ijsolstr.2025.113283","url":null,"abstract":"<div><div>This article presents an inverse method for extracting constitutive parameters in hyperelastic materials from partial field displacement data. The work is motivated by applications in which some displacement data are unavailable or too noisy to use. The method is developed on the basis of finite element force balance, and can be readily interfaced with finite element program. The method is evaluated using simulated displacement data with added noise. Two-dimensional and three-dimensional test problems are introduced to collectively assess the sensitivity to noise level, tolerance to missing data, the feasibility identifying heterogeneous properties using surface data only, and the influence of using local force distribution versus using the force resultant. In addition, a cross-model analysis is conducted in some test problems to evaluate influence of material model. A novel scheme involving deep learning network is introduced to smooth the noised displacement and generate the input displacements for different meshes. The forward displacement computation is carried out only at the finest mesh level. The simulated displacements with added white noised is smoothed, and the ensuing displacement field is evaluated at coarse meshes to generate the input data for the coarse models. The tests showed that, up to 10% noise, method performed satisfactorily and robustly in all cases.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"313 ","pages":"Article 113283"},"PeriodicalIF":3.4,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143453919","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":"Path-independent axisymmetric J-integral for the chemo-mechanical fracture analysis of elastoplastic electrodes in lithium-ion batteries","authors":"Kai Zhang ,&nbsp;Tian Tian ,&nbsp;Yong Li ,&nbsp;Bailin Zheng ,&nbsp;Fuqian Yang","doi":"10.1016/j.ijsolstr.2025.113291","DOIUrl":"10.1016/j.ijsolstr.2025.113291","url":null,"abstract":"<div><div>The <em>J</em>-integral, which is commonly used to analyze the crack propagation under mechanical loading, loses path-independence in chemo-mechanical coupling problems. Research has been focused on the development of two-dimensional coupled chemo-mechanical integrals to address this issue. However, directly calculating the two-dimensional coupled chemo-mechanical integrals in axisymmetric plane does not provide the energy release rate. There is a need to develop path-independent integrals for axisymmetric chemo-mechanical coupling problems. This work introduces a path-independent axisymmetric <em>J</em>-integral for chemo-mechanical fracture problems, which is established by extending the three-dimensional surface integrals under chemo-mechanical loading to axisymmetric structure and loading. The path-independence of the proposed integral is demonstrated both theoretically and numerically. Using an axisymmetric elastoplastic incremental model, the fracture behavior of a silicon anode particle with pre-existing conical cracks is examined as a practical example. The impacts of crack size, crack inclination angle, and surface flux on the crack propagation are studied. Numerical results are presented in phase diagrams to illustrate the changes in the maximum value of the integral during lithiation.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"313 ","pages":"Article 113291"},"PeriodicalIF":3.4,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445195","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 Machine learning-based model to predict residual stress in aluminum shell formed by shot peening","authors":"Amirhossein Golmohammadi,&nbsp;Hossein Soroush,&nbsp;Saeed Khodaygan","doi":"10.1016/j.ijsolstr.2025.113250","DOIUrl":"10.1016/j.ijsolstr.2025.113250","url":null,"abstract":"<div><div>Uncertainties and errors caused in the experimental procedure and finite element modeling (FEM) of the shot peening can impact the residual stress (RS) magnitude and distribution significantly. In the present work, a machine learning-based model is used to predict the RS distribution in an Al 2024 shell formed by the shot peening process. The experimental test is performed to measure the induced RS at three points around the center of the shell. FEM is performed to capture the RS diagram considering single-shot and multi-shot scenarios. FEM validation with experimental results is also carried out. In the next step, K-nearest neighbors (KNN), random forest (RF), and XGBoost algorithms predicted the RS profile considering data with 0%, 5%, 10%, and 15% noise. The results show that the KNN algorithm indicates the highest accuracy in estimating the location and value of the maximum negative residual stress (MNRS), which is about 97.6%. However, this model is influenced by the applied random noise and cannot estimate the RS profile correctly. On the other hand, although the RF model has a 5% higher mean error in predicting the value and location of the MNRS, it has accurately forecasted the RS diagram.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"313 ","pages":"Article 113250"},"PeriodicalIF":3.4,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143479505","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":"Reverse analysis of film/substrate cohesion by indentation: A mesoscopic perspective","authors":"Xu Long ,&nbsp;Ruipeng Dong ,&nbsp;Jiao Li ,&nbsp;Yutai Su ,&nbsp;Chao Chang ,&nbsp;Fengrui Jia ,&nbsp;Xin Wan","doi":"10.1016/j.ijsolstr.2025.113285","DOIUrl":"10.1016/j.ijsolstr.2025.113285","url":null,"abstract":"<div><div>Delamination remains a critical challenge in achieving robust cohesion between thin films and elastic substrates, particularly in electronic applications subjected to harsh operating conditions. Accurate assessment of the constitutive properties governing film/substrate cohesion is essential for addressing this delamination issue, yet in-situ measurement poses significant challenges. In this study, a numerical model is presented aimed at determining the mechanical properties of elastoplastic film materials adhered to an elastic substrate, leveraging the indentation response generated by a Berkovich indenter. To capture the interfacial damage effectively, cohesive elements are integrated into the finite element model to simulate the cohesive behavior between the elastoplastic film and the elastic substrate. The elastoplastic behavior of the film is characterized using a power-law constitutive model, while the tension-separation model is employed to describe interfacial cohesion. The constitutive parameters of thin film materials are deduced by treating the parameters of the substrate material, film material, and cohesion as dominant factors influencing the load–penetration depth curve. These parameters are combined dimensionlessly, offering an elegant method for solving the constitutive parameters of elastoplastic thin film materials. Evaluation of Young’s modulus, yield strength, and hardening exponent across different indentation depths reveals a highly consistent response in the applied load–penetration depth curve under varying parameter influences. Furthermore, the theoretical consideration of dislocation effects on the indentation process provides insight into the underlying failure mechanisms beneath the indenter. To refine the macroscale finite element model, the evolution of mesoscale dislocations during the indentation process is discussed based on plasticity gradient theory and reverse analysis. Finally, leveraging both macroscale finite element simulation and mesoscale theoretical models, a dimensionless equation is proposed for determining elastoplastic material parameters using the applied load–penetration depth curve. The proposed dimensionless equation demonstrates a fitting degree of up to 0.90, offering compelling evidence for its efficacy in employing indentation as a promising method for efficiently estimating constitutive properties of cohesion between the elastoplastic film and the elastic substrate by accounting for dislocations.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"312 ","pages":"Article 113285"},"PeriodicalIF":3.4,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143419853","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":"Constrained Euler buckling: The von Kármán approximation","authors":"Jiayu Wang,&nbsp;Stéphanie Deboeuf,&nbsp;Arnaud Antkowiak,&nbsp;Sébastien Neukirch","doi":"10.1016/j.ijsolstr.2025.113279","DOIUrl":"10.1016/j.ijsolstr.2025.113279","url":null,"abstract":"<div><div>We consider the classical problem of the buckling of a planar elastica inside a rectangular cavity. We compute the equilibrium solutions analytically in the (von Kármán) small deflection approximation. We list the different equilibrium states and their domain of validity in terms of the imposed horizontal <span><math><mi>Δ</mi></math></span> and vertical <span><math><mi>H</mi></math></span> displacements. We compute the horizontal <span><math><mi>P</mi></math></span> and the vertical <span><math><mi>F</mi></math></span> applied forces and show how they increase and scale when the compaction ratio <span><math><mrow><msqrt><mrow><mi>Δ</mi></mrow></msqrt><mo>/</mo><mi>H</mi></mrow></math></span> is increased. Finally, we introduce an approximate response state, where the system adopts a periodic configuration with a noninteger number of repeated folds. This solution represents an average response of the structure and brings information on its global behavior.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"313 ","pages":"Article 113279"},"PeriodicalIF":3.4,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445194","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Exotic buckling patterns in fiber-reinforced materials: Numerical simulations of Cosserat elasticity","authors":"Ryan C. McAvoy","doi":"10.1016/j.ijsolstr.2025.113272","DOIUrl":"10.1016/j.ijsolstr.2025.113272","url":null,"abstract":"<div><div>This paper discusses the three-dimensional finite element implementation of a nonlinear constrained Cosserat model for fibrous materials that accounts for extensional, flexural, and torsional fiber stiffness. Fiber bending and twisting effects are recorded by a rotation field introduced as an additional kinematic variable, the gradient of which is included in the pointwise constitutive response. A fiber-materiality constraint, enforced implicitly through Lagrange multipliers, convects the fibers as material curves. Two independent length scales corresponding to the fiber embedding, in the present case fiber cross sectional radius and fiber spacing, are explicitly included in the model. The open-source finite element code FEniCS is utilized for the numerical implementation, with which we study compression-induced flexural buckling of an elastic rectangular cantilever. Simulations reveal that fiber flexural stiffness affects out-of-plane buckling modes, and that by modifying the fiber size, modulus, and embedding pattern, unusual deformation patterns and global force–displacement responses can be achieved. These results are expected to facilitate more effective analysis of these materials and ultimately guide their design in the spirit of the metamaterial paradigm.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"312 ","pages":"Article 113272"},"PeriodicalIF":3.4,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143429984","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 flexoelectricity on buckle-delamination of nanofilms adhered to compliant substrates","authors":"Yihang Chen ,&nbsp;Tingjun Wang ,&nbsp;Yuanyuan Cui,&nbsp;Yingzhuo Lun,&nbsp;Jiawang Hong","doi":"10.1016/j.ijsolstr.2025.113276","DOIUrl":"10.1016/j.ijsolstr.2025.113276","url":null,"abstract":"<div><div>Buckle-delamination, a typical instability mode, can spontaneously introduce large, sizable-area and tunable strain gradients in nanofilms adhered to compliant substrates, which helps to exploit the flexoelectric effect. However, the role of flexoelectricity in the buckle-delamination behavior of dielectric nanofilms remains unclear. Here, an electromechanical coupling model is developed to capture the flexoelectric effect in buckle-delaminated films on compliant substrates. The energy analysis indicates that the interplay between flexoelectricity and buckling promotes the delamination process by increasing the width of buckle-delaminated blisters. Moreover, the coupling of flexoelectricity and piezoelectricity breaks the anti-symmetric distribution of in-plane stress, thereby affecting the position and magnitude of the maximum tensile stress. We also investigate the size-dependent effect of flexoelectricity in buckle-delamination behavior and demonstrate its crucial role in films of nanoscale thickness. This work can advance the understanding of the flexoelectric effect in buckle-delamination behavior and pave the way for its practical applications.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"312 ","pages":"Article 113276"},"PeriodicalIF":3.4,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143444617","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":"Synchronous enhancement of extreme-damping and stiffness in elastic mechanical metamaterials via self-tensioning friction mechanism","authors":"Yun-Long Chen,&nbsp;Li Ma","doi":"10.1016/j.ijsolstr.2025.113282","DOIUrl":"10.1016/j.ijsolstr.2025.113282","url":null,"abstract":"<div><div>Reusable mechanical metamaterials with both high energy-dissipating and load-bearing features are ideal candidates for widespread dynamic applications, ranging from impact mitigation to vibration suppression. Despite great demands, the existing designs either exhibit limited damping or stiffness, and perhaps work well only for one-time use. To reconcile these contradictions, a synchronous enhancements strategy of damping and stiffness is proposed to create novel mechanical metamaterial by replacing the viscous damping in the viscoelastic material Kelvin-Voigt constitutive to frictional damping, exemplified by auxetic self-tensioning friction damping metamaterials (FDM). They trigger an embedded sliding friction behavior through auxetic effect to achieve energy dissipation, which especially shows high stiffness while achieving extreme damping ability synergistically under large compressive strain. This synchronous enhancement mechanism is analysed by combining finite element modelling, theoretical analysis, and experimental validation. These innovative mechanical metamaterials with repeatability and self-recoverability have broad applications in engineering materials-structures-systems for energy-dissipation and load-carrying.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"313 ","pages":"Article 113282"},"PeriodicalIF":3.4,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445193","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":"Analysis on moisture-induced stresses in wood cell wall considering periodically graded microstructures","authors":"Wenbo Li ,&nbsp;Mingyang Chen ,&nbsp;Yu Dai ,&nbsp;Liao-Liang Ke","doi":"10.1016/j.ijsolstr.2025.113277","DOIUrl":"10.1016/j.ijsolstr.2025.113277","url":null,"abstract":"<div><div>The S2 layer of the wood cell wall is essentially a biocomposite reinforced by periodically graded microfibril, the mechanical properties of which are significantly affected by environmental humidity. The function of the periodically graded microstructure of microfibril in regulating moisture-induced stress and strain is still unclear. By developing the shear-lag model, we successfully reveal the stress transfer properties of S2 layers with periodically graded microfibrils at different levels of moisture. We demonstrate that the periodically graded microstructure facilitates the moisture-induced interfacial shear stress to be more evenly distributed over the whole microfibril and significantly reduce the interfacial shear stress at the edges, leading to the postponement of the initiation of interfacial debonding. Besides, we find that the moisture-induced stress is non-monotonic and exists maximum value, due to the fact that the polymers comprising the matrix undergo softening upon water absorption. Meanwhile, the length of the different regions of the microfibril is systematically studied, the results indicate that the interface burden can be reduced by increasing the length of graded regions, and sufficiently long pitch do not affect the magnitude of the interfacial shear stress. Moreover, the microstructure of the periodically graded fibril can effectively reduce the negative effect of debonding. These revealed mechanical mechanisms are conducive to the design of fiber-reinforced composites serving under humid condition.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"312 ","pages":"Article 113277"},"PeriodicalIF":3.4,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143394110","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}