Journal of Elasticity最新文献

Incremental Elastoplastic Solution for Thermal Cavity Expansion with Application in the Stress Analysis of Shrink Fits 热腔膨胀的增量弹塑性解及其在收缩配合应力分析中的应用

IF 1.4 3区工程技术

Journal of Elasticity Pub Date : 2025-09-19 DOI: 10.1007/s10659-025-10163-3

Yidi Wu, Amin Mehrabian

{"title":"Incremental Elastoplastic Solution for Thermal Cavity Expansion with Application in the Stress Analysis of Shrink Fits","authors":"Yidi Wu, Amin Mehrabian","doi":"10.1007/s10659-025-10163-3","DOIUrl":"10.1007/s10659-025-10163-3","url":null,"abstract":"<div><p>A general semi-analytical solution is developed for the time-dependent, axisymmetric problem of elastoplastic stress concentration around expanding cavities in the presence of heat conduction. The formulation is based on the incremental theory of plasticity within a Lagrangian framework of thermo-elastoplastic constitutive relations, while incorporating the von Mises yield criterion, strain hardening, and the associated flow rule. The transient heat conduction problem is treated through application of the Laplace integral transform. It is shown that the problem constitutive equations reduce to a system of three nonlinear ordinary differential equations describing the path-dependent evolution of the elastoplastic stress components with time. The long-time asymptotic solution provides the distribution of residual stresses. The proposed general solution for the thermal cavity expansion problem offers a rigorous benchmark for verification of relevant numerical solvers. The application of the proposed solution to the stress analysis of shrink-fit assemblies is demonstrated by examining the mechanical interaction between a solid shaft and a hollow hub, wherein the hub undergoes elastoplastic deformation due to the thermal expansion of the inner shaft. The results show that the strain-hardening parameter plays a critical role in controlling the extent of plastic deformation in the hub. Furthermore, a case study highlights the influence of constitutive behavior and stress-path dependency on the development of residual stresses in shrink-fit assemblies.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-025-10163-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145078816","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}

引用次数: 0

Modelling Volumetric Growth in Soft Solids via Residual Stress 利用残余应力模拟软固体的体积增长

IF 1.4 3区工程技术

Journal of Elasticity Pub Date : 2025-09-19 DOI: 10.1007/s10659-025-10164-2

Ruoyu Huang, Raymond W. Ogden, Raimondo Penta

{"title":"Modelling Volumetric Growth in Soft Solids via Residual Stress","authors":"Ruoyu Huang, Raymond W. Ogden, Raimondo Penta","doi":"10.1007/s10659-025-10164-2","DOIUrl":"10.1007/s10659-025-10164-2","url":null,"abstract":"<div><p>In this paper the nonlinear elasticity theory of volumetric growth based on residual stress that was introduced in previous contribution (Huang et al. in J. Elast. 145:223–241, 2021) is developed further, and is then focused on an applications of the theory with computational examples. The main idea here is to use residual stress in an intact unloaded configuration, or the deformation from a fixed and intact reference configuration (which may itself be residually stressed), as a means to assess the growth in a soft solid, the developing unloaded configuration and the accompanying developing residual stress. The general theory is presented in terms of the free energy per unit mass and the associated energy functions relative to the reference configuration and the unloaded configuration. Growth of a thick-walled spherical shell is examined in order to illustrate the theory using simple prototype energy functions. A general programme for obtaining the developing deformed configuration is outlined and several possible growth laws are discussed for the growth of a spherical shell under internal pressure. This study shows that growth modelling based on the unloaded configurations may provide insights into the development of residual stress and morphology, both of which are, in principle, accessible to experimental observation. For several possible growth laws detailed numerical results are provided to illustrate the evolution of growth and the associated residual stress.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-025-10164-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145078809","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}

引用次数: 0

Representation of Tensor Functions Using Lower-Order Structural Tensor Set: Two-Dimensional Point Groups 用低阶结构张量集表示张量函数：二维点群

IF 1.4 3区工程技术

Journal of Elasticity Pub Date : 2025-09-19 DOI: 10.1007/s10659-025-10165-1

Mohammad Madadi, Lin Cheng, Pu Zhang

{"title":"Representation of Tensor Functions Using Lower-Order Structural Tensor Set: Two-Dimensional Point Groups","authors":"Mohammad Madadi, Lin Cheng, Pu Zhang","doi":"10.1007/s10659-025-10165-1","DOIUrl":"10.1007/s10659-025-10165-1","url":null,"abstract":"<div><p>The representation theory of tensor functions is essential to constitutive modeling of materials including both mechanical and physical behaviors. Generally, material symmetry is incorporated in the tensor functions through a structural or anisotropic tensor that characterizes the corresponding point group. The general mathematical framework was well-established in the 1990s. Nevertheless, the traditional theory suffers from a grand challenge that many point groups involve fourth or sixth order structural tensors that hinder its practical applications in engineering. Recently, researchers have reformulated the representation theory and opened up opportunities to model anisotropic materials using lower-order (i.e., 2nd- order and lower) structural tensors only, although the theory was not fully established. This work aims to fully establish the reformulated representation theory of tensor functions for all two-dimensional point groups. It was found that each point group needs a structural tensor set to characterize the symmetry. For each two-dimensional point group, the structural tensor set is proposed and the general tensor functions are derived. Only lower-order structural tensors are introduced so researchers can readily apply these tensor functions for their modeling applications. The theory presented here is useful for constitutive modeling of materials in general, especially for composites, nanomaterials, soft tissues, etc.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145078817","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}

引用次数: 0

Torque and Shear Stress Distributions in Arterial Wall with Torsion Around the Vessel Axis 绕血管轴扭转时动脉壁的扭矩和剪应力分布

IF 1.4 3区工程技术

Journal of Elasticity Pub Date : 2025-08-28 DOI: 10.1007/s10659-025-10162-4

Keiichi Takamizawa

引用次数: 0

Variational Formulation of Planar Linearized Elasticity with Incompatible Kinematics 不相容运动平面线性化弹性的变分公式

IF 1.4 3区工程技术

Journal of Elasticity Pub Date : 2025-08-28 DOI: 10.1007/s10659-025-10161-5

Pierluigi Cesana, Edoardo Fabbrini, Marco Morandotti

引用次数: 0

Shape Instabilities Driven by Topological Defects in Nematic Polymer Networks 向列型聚合物网络中拓扑缺陷驱动的形状不稳定性

IF 1.4 3区工程技术

Journal of Elasticity Pub Date : 2025-08-25 DOI: 10.1007/s10659-025-10160-6

Silvia Paparini, Giulio G. Giusteri, L. Angela Mihai

{"title":"Shape Instabilities Driven by Topological Defects in Nematic Polymer Networks","authors":"Silvia Paparini, Giulio G. Giusteri, L. Angela Mihai","doi":"10.1007/s10659-025-10160-6","DOIUrl":"10.1007/s10659-025-10160-6","url":null,"abstract":"<div><p>Liquid crystalline networks (LCNs) are stimuli-responsive materials formed from polymeric chains cross-linked with rod-like mesogenic segments, which, in the nematic phase, align along a non-polar director. A key characteristic of these nematic systems is the existence of singularities in the director field, known as topological defects or disclinations, and classified by their topological charge. In this study, we address the open question of modeling theoretically the coupling between mesogens disclination and polymeric network by providing a mathematical framework describing the out-of-plane shape changes of initially flat LCN sheets containing a central topological defect. Adopting a variational approach, we define an energy associated with the deformations consisting of two contributions: an elastic energy term accounting for spatial director variations, and a strain-energy function describing the elastic response of the polymer network. The interplay between nematic elasticity, which seeks to minimize distortions in the director field, variations in the degree of order, with the consequent tendency of monomers in the polymer chains to distribute anisotropically in response to an external stimulus, and mechanical stiffness, which resists deformation, determines the resulting morphology. We analyze the transition to instability of the ground-state flat configuration and characterize the corresponding buckling modes.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-025-10160-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144897077","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}

引用次数: 0

Geometric Interpretability of Hyperelastic Models Fitted to Tissue Biomechanical Data 适合组织生物力学数据的超弹性模型的几何可解释性

IF 1.4 3区工程技术

Journal of Elasticity Pub Date : 2025-08-12 DOI: 10.1007/s10659-025-10157-1

Jiabao Tang, Wenyang Liu, Yiqi Mao, Shujuan Hou

{"title":"Geometric Interpretability of Hyperelastic Models Fitted to Tissue Biomechanical Data","authors":"Jiabao Tang, Wenyang Liu, Yiqi Mao, Shujuan Hou","doi":"10.1007/s10659-025-10157-1","DOIUrl":"10.1007/s10659-025-10157-1","url":null,"abstract":"<div><p>This work reveals the geometric interpretability of hyperelastic constitutive models fitted to mechanics data of biological tissue, addressing the long-overlooked prediction reliability issue arising from dual constraints of model limitations (structural complexity and physical idealization) and data challenges (finiteness and uncertainty). We evaluate three representative models—the eight-chain model, the Ogden model, and the neural network-derived gray matter model—under Bayesian model calibration, which naturally extends from the inherent uncertainties in biological tissue mechanical response data. By combining diverse mechanics datasets and priors with varying levels of informativeness, we analyze how data and prior constraints influence sloppiness. Posterior samples of model parameters are used to derive the sensitivity matrix of the cost function, uncovering the local geometric features of the cost landscape. Our results demonstrate the pervasive sloppiness in multi-parameter hyperelastic constitutive models, which can only be mitigated by high-quality data and informative priors. Beyond defining robust sloppiness metrics, this work provides actionable insights, such as guiding model selection and offering geometric constraints in machine learning-based automated model discovery.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 3","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144814348","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}

引用次数: 0

From Discrete to Continuum: A Generalized Euler–Maclaurin Framework for Scale Effects in Nanomechanics 从离散到连续：纳米力学中尺度效应的广义欧拉-麦克劳林框架

IF 1.4 3区工程技术

Journal of Elasticity Pub Date : 2025-08-11 DOI: 10.1007/s10659-025-10158-0

G. La Valle, C. Soize

引用次数: 0

Rayleigh Waves: Do They Exist as an Exact Solution of Eringen’s Nonlocal Elasticity Theory in Its Integral Formulation? 瑞利波：作为Eringen非局部弹性理论积分公式的精确解是否存在？

IF 1.4 3区工程技术

Journal of Elasticity Pub Date : 2025-08-11 DOI: 10.1007/s10659-025-10159-z

P. A. Martin

引用次数: 0

Shear Beam Model with Fractional Derivative-Type Internal Dissipation 分数阶导数型内耗散剪切梁模型