Journal of Elasticity最新文献_第7页

Characterization of the Mooney-Rivlin and Arruda-Boyce Constitutive Model Parameters for Rubber-Like Materials by Cono-Spherical Indentation Method 基于cono -球形压痕法表征类橡胶材料Mooney-Rivlin和Arruda-Boyce本构模型参数

IF 1.4 3区工程技术

Journal of Elasticity Pub Date : 2025-10-09 DOI: 10.1007/s10659-025-10168-y

Hui Chen, Zhongde Wei, Hu Li, Hui Peng, Penghui Zhao, Jiling Xiao

{"title":"Characterization of the Mooney-Rivlin and Arruda-Boyce Constitutive Model Parameters for Rubber-Like Materials by Cono-Spherical Indentation Method","authors":"Hui Chen, Zhongde Wei, Hu Li, Hui Peng, Penghui Zhao, Jiling Xiao","doi":"10.1007/s10659-025-10168-y","DOIUrl":"10.1007/s10659-025-10168-y","url":null,"abstract":"<div><p>This work proposes a cono-spherical indentation method for characterizing the parameters of Mooney-Rivlin and Arruda-Boyce constitutive models in rubber-like hyperelastic materials. The cono-spherical indentation model (CSIM) is formulated based on the principle of equivalent energy to establish a relationship between load-depth responses and constitutive model parameters. This model enables the efficient, in-situ and non-destructive properties characterization of hyperelastic materials during service conditions. Validation of CSIM is performed through extensive finite element simulations covering a broad spectrum of hyperelastic constitutive parameters, encompassing the Mooney-Rivlin and Arruda-Boyce models. The constitutive model parameters for four rubber-like materials are inversely identified from load-depth curves obtained through cono-spherical indentation using CSIM, and stress-stretch curves are derived from the inversely identified parameters. The accuracy of the reverse-predicted results is confirmed by comparing them with results from uniaxial tensile tests conducted over a wide range of deformations. These results highlight the efficacy of CSIM, utilizing the Mooney-Rivlin and Arruda-Boyce constitutive models, as a precise and dependable approach for predicting constitutive parameters of rubber-like materials.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145256556","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

Correction to: A Thermomechanical Eulerian Formulation of a Size-Dependent Elastic-Inelastic Cosserat Continuum 修正：尺寸相关弹性-非弹性连续体的热力学欧拉公式

IF 1.4 3区工程技术

Journal of Elasticity Pub Date : 2025-10-08 DOI: 10.1007/s10659-025-10173-1

M. B. Rubin

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Steady Shock Wave Shapes in a Size-Dependent Elastic Cosserat Continuum with a Deformable Director Triad 具有可变形导向器三元组的尺寸相关弹性连续体中的稳定激波形状

IF 1.4 3区工程技术

Journal of Elasticity Pub Date : 2025-10-06 DOI: 10.1007/s10659-025-10170-4

M. B. Rubin

引用次数: 0

Determination of the Spherical Couple-Stress in Polar Linear Isotropic Elasticity – Part II: The Concept of Plane Strain 极线各向同性弹性中球面耦合应力的测定——第二部分：平面应变的概念

IF 1.4 3区工程技术

Journal of Elasticity Pub Date : 2025-10-06 DOI: 10.1007/s10659-025-10167-z

K. P. Soldatos

{"title":"Determination of the Spherical Couple-Stress in Polar Linear Isotropic Elasticity – Part II: The Concept of Plane Strain","authors":"K. P. Soldatos","doi":"10.1007/s10659-025-10167-z","DOIUrl":"10.1007/s10659-025-10167-z","url":null,"abstract":"<div><p>It is shown that some of the assumptions and further restrictions imposed in Reference (Muki and Sternberg in Z. Angew. Math. Phys. 16:611–648, 1965) in relation to development of the plane strain version of the conventional couple-stress theory are invalid. This finding comes a result a new development presented in the first part of this study (Soldatos in J. Elast. 153:185–206, 2023), according to which a refined couple-stress theory of isotropic linear elasticity enables determination of the trace of the couple-stress tensor and, henceforth, of the antisymmetric part of the stress and, thus, the total stress tensors. The present communication reconsiders those assumptions and restrictions (Muki and Sternberg in Z. Angew. Math. Phys. 16:611–648, 1965), separates the ones that are still valid from their invalid counterpart, and, to the extent that this is possible and acceptable, rebuilds the foundation that the plane strain concept can be based upon in polar isotropic linear elasticity. It is accordingly found, and also demonstrated with a couple of relevant boundary value problem applications, that, while the assumption of plane strain naturally guarantees that displacements and strains depend only on in-plane co-ordinates parameters, the couple-stress and the stress tensors generally depend on the out-of-plane co-ordinate parameter as well.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":"157 4","pages":""},"PeriodicalIF":1.4,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-025-10167-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145256480","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}

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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}

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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}

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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

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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

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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