Journal of Elasticity最新文献_第10页

A Generalized Ogden-Type Elastically Isotropic Hyperelastic Model Including Elastic-Viscoplastic Response 含弹粘塑性响应的广义ogden型弹性各向同性超弹性模型

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-02-23 DOI: 10.1007/s10659-023-09995-8

M. B. Rubin, K. Heiduschke

引用次数: 2

Homogenization of an Anisotropic Elastic Material Reinforced by a Small Volume Fraction of Very Stiff Anisotropic Fibers. Non Local Effects. Bending Effects. Torsional Effects 小体积分数极硬各向异性纤维增强各向异性弹性材料的均匀化。非局部效应。弯曲的影响。扭转效应

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-02-22 DOI: 10.1007/s10659-023-09986-9

Michel Bellieud

引用次数: 0

Electrochemo-poromechanics of Ionic Polymer Metal Composites: Towards the Accurate Finite Element Modelling of Actuation and Sensing 离子聚合物金属复合材料的电化学-孔隙力学:致动与传感的精确有限元建模

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-02-22 DOI: 10.1007/s10659-023-09990-z

Andrea Panteghini, Lorenzo Bardella

{"title":"Electrochemo-poromechanics of Ionic Polymer Metal Composites: Towards the Accurate Finite Element Modelling of Actuation and Sensing","authors":"Andrea Panteghini, Lorenzo Bardella","doi":"10.1007/s10659-023-09990-z","DOIUrl":"10.1007/s10659-023-09990-z","url":null,"abstract":"<div><p>Ionic polymer metal composites (IPMCs) consist of an electroactive polymeric membrane, which is plated with metal electrodes and includes a fluid phase of ions in a solvent, whose diffusion allows for actuation and sensing applications. We build on a previous finite-deformation theory of our group that accounts for the cross-diffusion of ions and solvent and couples the mass balances of these species with the stress balance and the Gauss law. Here, we abandon the assumption that the fluid phase is a <i>dilute</i> solution, with benefits on both modelling and computation. A reliable finite element (FE) implementation of electrochemomechanical theories for IPMCs is challenging because the IPMC behaviour is governed by boundary layers (BLs) occurring in tiny membrane regions adjacent to the electrodes, where steep gradients of species concentrations occur. We address this issue by adopting the generalized FE method to discretise the BLs. This allows unprecedented analyses of the IPMC behaviour since it becomes possible to explore it under external actions consistent with applications, beside obtaining accurate predictions with a reasonable computational cost. Hence, we provide novel results concerning the influence of the membrane permittivity on the species profiles at the BLs. Additionally, by leveraging on the mobility matrix, we establish that the initial peak deflection in actuation strongly depends on the constitutive equations for the species transport and discuss the predictions of some experimental results from the literature. Overall, we demonstrate the potential of the proposed model to be an effective tool for the thorough analysis and design of IPMCs.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-023-09990-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4854862","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: 1

One-Dimensional Failure Modes for Bodies with Non-convex Plastic Energies 非凸塑性能体的一维破坏模式

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-02-22 DOI: 10.1007/s10659-023-09989-6

Gianpietro Del Piero, Giovanni Lancioni, Riccardo March

{"title":"One-Dimensional Failure Modes for Bodies with Non-convex Plastic Energies","authors":"Gianpietro Del Piero, Giovanni Lancioni, Riccardo March","doi":"10.1007/s10659-023-09989-6","DOIUrl":"10.1007/s10659-023-09989-6","url":null,"abstract":"<div><p>In this paper, a complete picture of the different plastic failure modes that can be predicted by the strain gradient plasticity model proposed in Del Piero et al. (J. Mech. Mater. Struct. 8:109–151, 2013) is drawn. The evolution problem of the elasto-plastic strain is formulated in Del Piero et al. (J. Mech. Mater. Struct. 8:109–151, 2013) as an incremental minimization problem acting on an energy functional which includes a local plastic term and a non-local gradient contribution. Here, an approximate analytical solution of the evolution problem is determined in the one-dimensional case of a tensile bar. Different solutions are found describing specific plastic strain processes, and correlations between the different evolution modes and the convexity/concavity properties of the plastic energy density are established.</p><p>The variety of solutions demonstrates the large versatility of the model in describing many failure mechanisms, ranging from brittle to ductile. Indeed, for a convex plastic energy, the plastic strain diffuses in the body, while, for a concave plastic energy, it localizes in regions whose amplitude depends on the internal length parameter included into the non-local energy term, and, depending on the convexity properties of the first derivative of the plastic energy, the localization band expands or contracts. Complex failure processes combining different modes can be reproduced by assuming plastic energy functionals with specific convex and concave branches.</p><p>The quasi-brittle failure of geomaterials in simple tension tests was reproduced by assuming a convex-concave plastic energy, and the accuracy of the analytical predictions was checked by comparing them with the numerical results of finite element simulations.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10659-023-09989-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"5156150","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

Loading Devices and Non-classical Boundary Conditions 加载装置与非经典边界条件

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-02-15 DOI: 10.1007/s10659-023-09994-9

R. Batra

引用次数: 0

Compatible Director Fields in (mathbb{R}^{3}) 兼容的董事字段 (mathbb{R}^{3})

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-02-07 DOI: 10.1007/s10659-023-09988-7

Luiz C. B. da Silva, Tal Bar, Efi Efrati

引用次数: 0

A Linear Isotropic Cosserat Shell Model Including Terms up to (O(h^{5})). Existence and Uniqueness 一个包含至多（O（h^｛5｝）项的线性各向同性Cosserat壳层模型。存在与唯一

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-02-07 DOI: 10.1007/s10659-022-09981-6

Ionel-Dumitrel Ghiba, Mircea Bîrsan, Patrizio Neff

引用次数: 2

Homogenization of Elastomers Filled with Liquid Inclusions: The Small-Deformation Limit 液体包裹体填充弹性体的均匀化：小变形极限

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-02-07 DOI: 10.1007/s10659-023-09992-x

Kamalendu Ghosh, Victor Lefèvre, Oscar Lopez-Pamies

{"title":"Homogenization of Elastomers Filled with Liquid Inclusions: The Small-Deformation Limit","authors":"Kamalendu Ghosh, Victor Lefèvre, Oscar Lopez-Pamies","doi":"10.1007/s10659-023-09992-x","DOIUrl":"10.1007/s10659-023-09992-x","url":null,"abstract":"<div><p>This paper presents the derivation of the homogenized equations that describe the macroscopic mechanical response of elastomers filled with liquid inclusions in the setting of small quasistatic deformations. The derivation is carried out for materials with periodic microstructure by means of a two-scale asymptotic analysis. The focus is on the non-dissipative case when the elastomer is an elastic solid, the liquid making up the inclusions is an elastic fluid, the interfaces separating the solid elastomer from the liquid inclusions are elastic interfaces featuring an initial surface tension, and the inclusions are initially <span>(n)</span>-spherical (<span>(n=2,3)</span>) in shape. Remarkably, in spite of the presence of local residual stresses within the inclusions due to an initial surface tension at the interfaces, the macroscopic response of such filled elastomers turns out to be that of a linear elastic solid that is free of residual stresses and hence one that is simply characterized by an effective modulus of elasticity <span>(overline{{mathbf{L}}})</span>. What is more, in spite of the fact that the local moduli of elasticity in the bulk and the interfaces do not possess minor symmetries (due to the presence of residual stresses and the initial surface tension at the interfaces), the resulting effective modulus of elasticity <span>(overline{{mathbf{L}}})</span> does possess the standard minor symmetries of a conventional linear elastic solid, that is, <span>(overline{L}_{ijkl}=overline{L}_{jikl}=overline{L}_{ijlk})</span>. As an illustrative application, numerical results are worked out and analyzed for the effective modulus of elasticity of isotropic suspensions of incompressible liquid 2-spherical inclusions of monodisperse size embedded in an isotropic incompressible elastomer.</p></div>","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48850679","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: 4

Representation of Vector-Valued Hemitropic Functions of a Symmetric Tensor and a Vector 对称张量和矢量的向量值半偏函数的表示

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-02-06 DOI: 10.1007/s10659-023-09987-8

E. Dill, A. Norris

引用次数: 0

On a Notion of Nonlocal Curvature Tensor 关于非局部曲率张量的一个概念

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2023-01-25 DOI: 10.1007/s10659-023-09985-w

Roberto Paroni, Paolo Podio-Guidugli, Brian Seguin

引用次数: 3