International Journal of Solids and Structures最新文献

{"title":"Swelling and large deformation of polymer brushes","authors":"Jiawei Yang","doi":"10.1016/j.ijsolstr.2025.113587","DOIUrl":"10.1016/j.ijsolstr.2025.113587","url":null,"abstract":"<div><div>A polymer brush consists of polymer chains with one end anchored on a solid substrate and the other end being free. This paper formulates a thermodynamic model to quantitatively characterize the swelling and deformation of polymer brushes. The model integrates the freely jointed chain model to describe the elasticity of polymers and the Flory-Huggins model to describe the swelling of polymers. The swelling and deformation are unidirectional, confined in a cell defined by the graft area and the height of a polymer. Depending on the three conformations: a dilute brush, a contact brush, and a high-density brush, the swelling and deformation behaviors are strongly influenced. The model links the physical parameters of polymers and solvents, e.g., graft area, polymer length, and solvent quality, to the polymer brush conformations, swelling, and deformation. The predicted brush heights at dry and swollen states agree with both the established scaling laws and the experimental data collected from the literature. The model is further applied to characterize the force-stroke relationship in polymer brush actuation when the swelling is constrained. The blocking force, maximum free stroke, and the conditions under which they are obtained are determined. This model may be useful to guide the polymer brush design to achieve desired functions in a broad range of practical applications.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"321 ","pages":"Article 113587"},"PeriodicalIF":3.8,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144738944","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-induced friction modulation for an oscillator moving on an elastic rod","authors":"E. Sulollari,&nbsp;K.N. van Dalen,&nbsp;A. Cabboi","doi":"10.1016/j.ijsolstr.2025.113572","DOIUrl":"10.1016/j.ijsolstr.2025.113572","url":null,"abstract":"<div><div>Several studies have been dedicated to altering friction forces, with external excitation being one of the approaches explored. When the latter is considered, its influence has primarily been studied within the context of discrete systems. Therefore, in this study, a moving oscillator in frictional contact with an elastic rod of finite length subjected to distributed damping is considered, to study the influence of external excitation in the presence of support flexibility on friction modulation. The modal expansion method is used to derive the modal equations of motion, which are then solved numerically. Two cases are investigated, one with the load acting on the mass and the other with the load acting on the rod. It is found that, for both cases, friction modulation varies along the rod’s length, and it differs from that obtained assuming a rigid rod. Moreover, for the load-on-mass scenario, a critical velocity is defined, providing direct insight into the friction modulation differences between flexible and rigid rod cases. For the load-on-rod scenario, large deformations are observed close to and above resonance, and geometric nonlinearity is accounted for to describe the system dynamics accurately. To link theoretical results to applications, the findings are used to qualitatively interpret slip-joint vibration-assisted decommissioning tests, and are compared with experimental results in which friction force reduction is explained through the use of elasto-plastic friction models that account for surface deformability, showing good qualitative agreements between the theoretical and experimental outcomes.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"321 ","pages":"Article 113572"},"PeriodicalIF":3.8,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144757921","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":"Relating local field fluctuations in composites with the sensitivity of their effective response to constitutive parameters: An identification framework for elastic and viscoelastic materials","authors":"Robin Valmalette,&nbsp;Cédric Bellis,&nbsp;Christian Hochard,&nbsp;Noël Lahellec","doi":"10.1016/j.ijsolstr.2025.113580","DOIUrl":"10.1016/j.ijsolstr.2025.113580","url":null,"abstract":"<div><div>In the study of composite materials, accurately characterizing the individual properties of constituents is essential but often challenging due to the possible unavailability of raw materials and the complexity of conducting microscale experiments. Inverse homogenization offers a compelling solution by enabling the extraction of microscale properties directly from macroscale experiments, despite being an ill-posed problem. This study focuses on identifying unknown constitutive parameters by minimizing a cost function that measures the discrepancy between actual composite response data and the predicted homogenized behaviour based on candidate parameters. To tackle these optimization problems, both first and second-order gradient-based minimization schemes are employed. This requires evaluating the sensitivity of a composite’s effective response to its constitutive parameters, which is related to local fluctuations in solution fields of elementary cell problems. To so do, first and second-order derivatives of macroscopic stress and effective energy potential are obtained in a general setting, including nonlinear behaviours. Sensitivity maps are computed to gain local information within the representative volume element. The methodology involves repeatedly solving cell problems, efficiently achieved using FFT-based full-field simulations for periodic composites. It is implemented in two test cases involving fiber-reinforced composites to identify hard-to-measure parameters: elastic properties of fibers and viscoelastic properties of the matrix. The latter case uses the Laplace–Carson transform to extend the method to viscoelastic materials. The targeted constitutive properties are successfully identified, and sensitivity analyses assess the effects of uncertainties on the identified parameters. The study provides guidelines for using this sensitivity-based approach in relevant situations.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"321 ","pages":"Article 113580"},"PeriodicalIF":3.8,"publicationDate":"2025-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144750685","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":"Multi-combination structural optimization design of polymer honeycombs under quasi-static compression","authors":"Chenghao Guo ,&nbsp;Xueyu Cheng ,&nbsp;Lixin Lu ,&nbsp;Liao Pan","doi":"10.1016/j.ijsolstr.2025.113586","DOIUrl":"10.1016/j.ijsolstr.2025.113586","url":null,"abstract":"<div><div>The multi-combination optimization design approach for polymer honeycombs aims to enhance energy absorption, offering an innovative solution for improving their performance in engineering applications. This study introduced the corrugated cell walls into self-similar honeycombs, proposing a novel design with dual-scale optimization at both cell-wall and global structural levels. Honeycombs were fabricated from toughened polylactic acid using fused deposition modeling (FDM). Numerical simulation elucidated the mechanisms behind the enhanced energy absorption of these structures. In self-similar designs, inner/outer wall connections promoted folded lobe formation, enabling extensive material participation in plastic deformation. The self-similar honeycombs exhibited a 93.06 % higher specific energy absorption (<em>SEA</em>) compared to regular hexagonal honeycombs (RH). Optimizing conventional walls to corrugated configurations further enhanced performance, achieving a 128.44 % increase in <em>SEA</em> over RH. Increased wave number (<em>N</em>) and amplitude reduced folding lobes, eventually triggering global buckling. The optimal configuration, featuring single-wave geometry (<em>N</em> = 1) with a 0.6 mm amplitude, demonstrated superior energy absorption characteristics. Parametric analysis indicated that thicker cell walls elevated both mean crushing force (<em>MCF</em>) and <em>SEA</em>. Strategic selection of inner/outer wall corrugation parameters further optimized energy absorption stability. A theoretical model for predicting <em>MCF</em> in bio-inspired honeycombs was developed, demonstrating maximum relative errors within 7.84 %.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"321 ","pages":"Article 113586"},"PeriodicalIF":3.8,"publicationDate":"2025-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144722806","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":"Buckling of residually stressed cylindrical tubes under compression","authors":"Tao Zhang ,&nbsp;Luis Dorfmann ,&nbsp;Yang Liu","doi":"10.1016/j.ijsolstr.2025.113578","DOIUrl":"10.1016/j.ijsolstr.2025.113578","url":null,"abstract":"<div><div>We evaluate the loss of stability of axially compressed, slender and thick-walled tubes subject to a residual stress distribution. The nonlinear theory of elasticity, when used to analyze the underlying deformation, shows that the residual stress induces preferred directions in the reference configuration. The incremental theory, given in Stroh form, is used to derive an exact bifurcation condition. The critical stretch and the associated critical buckling mode are identified for axisymmetric and asymmetric increments in the deformation. Mode transitions are illustrated as the tube slenderness varies. For slender tubes, Euler buckling is energetically favorable, and the effect of residual stress is negligible. However, for short and thick-walled tubes where barreling mode is dominant, the residual stress significantly affects the buckling behavior and may eliminate barreling instability. We show that, depending on its magnitude and direction, residual stress can either accelerate or delay instability. Phase diagrams for various modes are obtained and provide insight into pattern selection across different tube geometries.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"321 ","pages":"Article 113578"},"PeriodicalIF":3.8,"publicationDate":"2025-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144750684","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":"Accounting for uncertainties in ML-based design of shape-morphing elements","authors":"Silvia Monchetti ,&nbsp;Roberto Brighenti ,&nbsp;Noy Cohen","doi":"10.1016/j.ijsolstr.2025.113539","DOIUrl":"10.1016/j.ijsolstr.2025.113539","url":null,"abstract":"<div><div>Shape-morphing structures deform from one configuration to another in response to an external stimulus. In order to achieve a target shape, inverse design algorithms that enable one to compute the initial state of the system are required. Thanks to advances in 3D printing technologies, the realization of shape-morphing structures was demonstrated in a variety of recently published works. Commonly there are several sources of uncertainties that can influence the design. Examples include code inputs and outputs, model inadequacy, and the mechanical properties of 3D-printed materials. In this paper, we present an effective design of shape-morphing structures that accounts for these errors. We integrate a probabilistic approach to characterize model-form uncertainties in the inverse design of shape-morphing elements based on Machine Learning (ML) approach. The proposed approach relies on an Approximate Bayesian Computation (ABC) model where the parameter space is extended through the definition of the uncertainties involved in the process. To demonstrate the merit of this approach, we consider a system of a heterogeneous elastic tube embedding a gel core. The gel swells, and the swelling-induced forces lead to the deformation of the elastic tube, resulting in dilation and a change in the shape of the system. The proposed algorithm receives a target shape as input and determines the required spatial distribution of material properties in the heterogeneous ring. It is quantitatively shown how the system is sensitive to various sources of uncertainty: parameter uncertainty, model inadequacy, and observation errors. In particular, the effect of the parameter uncertainties has been investigated in terms of posterior distributions. In general, this work provides insight into the role of uncertainties in shape-controlled problems, and specifically, it allows for improving the reliability of the target shape inverse design in shape morphing elements.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"321 ","pages":"Article 113539"},"PeriodicalIF":3.8,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144738945","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 nanoscaled adhesive contact model for functionally graded coating","authors":"Xuefeng Tang ,&nbsp;Zhibo Geng ,&nbsp;Wanyou Yang ,&nbsp;Qiang Yang ,&nbsp;Yuanyuan Liang","doi":"10.1016/j.ijsolstr.2025.113573","DOIUrl":"10.1016/j.ijsolstr.2025.113573","url":null,"abstract":"<div><div>Functionally graded material (FGM) layer-substrate systems offer advantages over conventional homogeneous layer-substrate systems in various engineering applications. This study introduces a new nanoscale adhesive contact model for an exponentially graded FGM layer-substrate system, incorporating adhesion contributions from all molecules instead of only contact surface, through the Lennard-Jones (LJ) potential and the Hamaker summation method. A parametric analysis investigates the effects of layer thickness, ratios of the work of adhesion, and elastic modulus ratios on adhesive contact. The results show that the layer thickness affects adhesive interaction forces significantly within a confined range. Adhesive forces in FGM layers fall between those in homogeneous layers with equivalent surface and bottom moduli. Adhesive forces increase with higher adhesion work ratios and elastic modulus ratios. FGM layers exhibit higher adhesive forces in soft layers and lower forces in stiff layers compared to homogeneous cases. Although the modification on adhesive forces is less pronounced than in homogeneous layers, the FGM layer improves subsurface von Mises stress continuity and reduces stress concentration in stiff layers. Moreover, the possibility of plastic deformation is identified. This study enhances the understanding of adhesive contact in FGM systems and provides insights for optimizing device design in engineering applications.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"321 ","pages":"Article 113573"},"PeriodicalIF":3.8,"publicationDate":"2025-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144724887","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":"On the electrical contact resistance model of rough surfaces based on multi-physics modeling","authors":"You-Hua Li ,&nbsp;Liao-Liang Ke ,&nbsp;Gang-Gang Chang ,&nbsp;Mehmet Ali Güler ,&nbsp;Fei Shen","doi":"10.1016/j.ijsolstr.2025.113583","DOIUrl":"10.1016/j.ijsolstr.2025.113583","url":null,"abstract":"<div><div>Electrical contact resistance (ECR) serves as a critical performance parameter for assessing the reliability and durability of electrical contact systems. Accurate ECR prediction remains challenging due to three predominant factors: the interface complexity introduced by surface roughness, the presence of multi-physics coupling phenomena, and the nonlinear nature of elastoplastic deformation characteristics. Although classical analytical models, such as Holm’s theory, Timsit’s formulation, and Greenwood’s approach, have provided fundamental insights, their practical utility is often constrained by oversimplified assumptions and inherent limitations in addressing real-world operational complexities. This paper presents an efficient numerical method for predicting the ECR of rough surface electrical contacts by incorporating the influences of both multi-physics coupling and elastoplastic material deformation. For Gaussian rough surfaces, the proposed numerical approach systematically quantifies ECR across a wide range of fractal parameters and loading conditions. A comparative analysis of this method against existing ECR models reveals that the Greenwood-based predictions exhibit significant deviations under a high-load condition. Based on the predictive data, this study establishes a novel and accurate model that quantifies load-dependent ECR of Gaussian surfaces. To verify the developed ECR model, electrical contact experiments were conducted. This new model enables rapid and reliable ECR estimation, providing a valuable tool for the design and optimization of electrical connectors.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"321 ","pages":"Article 113583"},"PeriodicalIF":3.4,"publicationDate":"2025-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144703518","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":"Modified hybrid finite-discrete element modeling of compressive failure in alumina ceramics","authors":"Jie Zheng ,&nbsp;Haoyang Li ,&nbsp;Nan Sun ,&nbsp;Weihao Guo ,&nbsp;Zahra Zaiemyekeh ,&nbsp;Saman Sayahlatifi ,&nbsp;Zengtao Chen ,&nbsp;James D. Hogan","doi":"10.1016/j.ijsolstr.2025.113555","DOIUrl":"10.1016/j.ijsolstr.2025.113555","url":null,"abstract":"<div><div>This paper presents a modified hybrid finite-discrete element model (HFDEM) for alumina ceramics, validated using quasi-static uniaxial compression experiments coupled with digital image correlation techniques. The model introduces a modified cohesive constitutive behavior with a general form of damage evolution law (including linear and power-law forms), adaptable to two types of alumina ceramics, to describe the processes of cracks growth from existing defects. Additionally, the model accounts for material flaw distribution by incorporating a microscopic stochastic fracture model. The modified HFDEM captures various phenomena involved in the compressive failure of advanced ceramics, including fracture growth following the axial loading direction, as well as catastrophic failure and fragmentation behavior. The proposed model was validated by comparing simulated quasi-static compressive stress–strain responses with experimental results. The model successfully reproduced two distinct fracture patterns observed in compression experiments, demonstrating its ability to accurately predict the mechanical response of alumina ceramics under uniaxial compressive loading. Once validated, the effects of some mechanical properties (e.g., Poisson’s ratio, elastic modulus, shear strength, and tensile strength) on the compressive stress–strain responses were explored. Notably, the compressive strength is primarily governed by the behavior of the crack elements in the model, which correspond to material flaws. The effect of increasing tensile strength on compressive strength becomes less significant. Conversely, shear strength significantly affects the peak compressive strength. Overall, this study provides a qualitative (e.g., fracture and fragmentation behavior) and quantitative (e.g., stress–strain response) understanding of alumina ceramic under quasi-static uniaxial compressive loading.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"321 ","pages":"Article 113555"},"PeriodicalIF":3.4,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144685502","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":"Spatially varying density and orientation for triply periodic minimal surface lattice design using topology optimization","authors":"Chongyi Wei,&nbsp;Douglas E. Smith","doi":"10.1016/j.ijsolstr.2025.113581","DOIUrl":"10.1016/j.ijsolstr.2025.113581","url":null,"abstract":"<div><div>The Triply periodic minimal surface (TPMS) has emerged as an ideal representation for designing lattices defined in terms of a single tunable parameter that facilitates the systematic design of complex structures. Recent research has focused on the reconstruction of TPMS structures from a density field computed using topology optimization that includes the unique directionally dependent properties of TPMS geometries in the design process. In this paper, a new strategy is introduced in the design of TPMS structures using multiscale anisotropic topology optimization. Numerical homogenization is implemented through a finite element analysis framework to determine the relationship between the homogenized elasticity matrix components and the TPMS relative density. A reciprocal vector representation is used to define the TPMS geometry and a central finite difference calculation is employed to compute values of a mapping function at unit cell interfaces. A least-squares calculation is applied to compute homogenized non-isotropic elasticity matrix components from single cell TPMS finite element models. Homogenized orthotropic properties of the TPMS structure are included in the topology optimization through density design variables and orientation design variables that define the in-plane rotation of the lattice structure. Numerical analysis results show that the stiffness of reconstructed 3D TPMS structures obtained by optimizing both density and orientation is improved as compared to the TPMS structures that do not allow for unit cell rotation in the design.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"321 ","pages":"Article 113581"},"PeriodicalIF":3.8,"publicationDate":"2025-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144722805","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}