Journal of Elasticity最新文献

Initial Stresses in a Twisted Porous Fluid-Saturated Cylinder 扭曲多孔流体饱和圆柱体中的初始应力

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-09-12 DOI: 10.1007/s10659-024-10086-5

Alexander Suvorov

{"title":"Initial Stresses in a Twisted Porous Fluid-Saturated Cylinder","authors":"Alexander Suvorov","doi":"10.1007/s10659-024-10086-5","DOIUrl":"https://doi.org/10.1007/s10659-024-10086-5","url":null,"abstract":"In this paper a porous fluid-saturated cylinder subjected to a finite twist deformation is analyzed. The material of the skeleton of the porous cylinder is hyperelastic of Ogden-type and assumed nearly incompressible. The twist is applied to the cylinder in a fast rate so that the fluid pressure develops in the pores of the cylinder. The main objective of this paper is to study the stresses and the fluid pressure in the cylinder over a short period of time after the twist has been applied, or to study the initial response. The analytical expressions for the stress components and the fluid pressure are derived for Ogden material with arbitrary material parameters. The quantitative picture for the stress state is given and the signs of the normal stresses are explained. The stress arising in some imaginary fibers that were initially parallel to the axis of the cylinder is obtained. The present problem is similar to the torsion problem of a totally incompressible and nonporous cylinder in a sense that the total stresses are identical in both problems. But decomposition of the total stresses into the fluid pressure and the effective stresses, which is specific for the fluid-saturated body, can be found only using the present analysis.","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142199507","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

New Perspectives on Torsional Rigidity and Polynomial Approximations of z-bar 扭转刚性和 z 杆多项式逼近的新视角

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-09-11 DOI: 10.1007/s10659-024-10087-4

Adam Kraus, Brian Simanek

引用次数: 0

A Morphoelastic Shell Theory of Biological Invagination in Embryos 胚胎生物迷走的形态弹性壳理论

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-09-03 DOI: 10.1007/s10659-024-10084-7

Xiaoyi Chen, Xiang Yu, Pasquale Ciarletta

{"title":"A Morphoelastic Shell Theory of Biological Invagination in Embryos","authors":"Xiaoyi Chen, Xiang Yu, Pasquale Ciarletta","doi":"10.1007/s10659-024-10084-7","DOIUrl":"https://doi.org/10.1007/s10659-024-10084-7","url":null,"abstract":"The embryo of Volvox globator, a monolayer spheroidal cell sheet, undergoes an inversion to release its flagella during the late stage of its development. This inversion, known as the type-B inversion, initiates from the equator. Other types of inversions also exist, such as the inversion from the anterior pole of Volvox carteri and the bowl-shaped inversion of Pleodorina. These inversions can be regarded as axisymmetric processes, during which complex fold patterns are generated. The invagination of the cell sheet plays a crucial role in embryonic development, and our aim is to understand this process from an interdisciplinary point of view, with a particular focus on the mechanical aspects. In this work, we first develop a morphoelastic shell theory for general deformations of biological shells, incorporating both active and passive biomechanical effects, as well as membrane and bending effects. By means of asymptotic analysis, we establish an analytical framework to study axisymmetric deformations of morphoelastic shells focusing mainly on the membrane effects. For illustrative purposes, we apply this framework to investigate the invagination of Volvox globator embryo. The underlying active stretches driving this process are derived analytically by inverse analysis of experimental data through the morphoelastic shell model. We highlight a two-order remodeling strategy that generates the observed invagination pattern: the Gaussian morphing of the cell sheet creates the first fundamental form of the stress-free folded patterns, while a secondary remodeling generates the membrane tension necessary to balance the external pressure and the second fundamental form of the invaginated pattern. This remodeling strategy unveils the complex interplay between geometry, mechanics, and biological processes during Volvox globator embryogenesis.","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142225723","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

A Direct Approach to the Polar Representation of Plane Tensors 平面张量极性表示的直接方法

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-08-30 DOI: 10.1007/s10659-024-10085-6

Marco Picchi Scardaoni

引用次数: 0

The Micro-Bond Potential and Stress Tensor in Peridynamics Revisited 再论周动力学中的微键势和应力张量

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-08-13 DOI: 10.1007/s10659-024-10083-8

Jincheng Fan, Heping Xie, Xiaodan Ren

引用次数: 0

Growth of an Elastic Rod Perfectly Bonded to a von Kármán Elastic Surface 与 von Kármán 弹性表面完美结合的弹性杆的生长

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-07-22 DOI: 10.1007/s10659-024-10082-9

Akarsh Raj, Animesh Pandey, Anurag Gupta

引用次数: 0

A Hidden Convexity of Nonlinear Elasticity 非线性弹性的隐藏凸性

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-07-16 DOI: 10.1007/s10659-024-10081-w

Siddharth Singh, Janusz Ginster, Amit Acharya

{"title":"A Hidden Convexity of Nonlinear Elasticity","authors":"Siddharth Singh, Janusz Ginster, Amit Acharya","doi":"10.1007/s10659-024-10081-w","DOIUrl":"https://doi.org/10.1007/s10659-024-10081-w","url":null,"abstract":"A technique for developing convex dual variational principles for the governing PDE of nonlinear elastostatics and elastodynamics is presented. This allows the definition of notions of a variational dual solution and a dual solution corresponding to the PDEs of nonlinear elasticity, even when the latter arise as formal Euler–Lagrange equations corresponding to non-quasiconvex elastic energy functionals whose energy minimizers do not exist. This is demonstrated rigorously in the case of elastostatics for the Saint-Venant Kirchhoff material (in all dimensions), where the existence of variational dual solutions is also proven. The existence of a variational dual solution for the incompressible neo-Hookean material in 2-d is also shown. Stressed and unstressed elastostatic and elastodynamic solutions in 1 space dimension corresponding to a non-convex, double-well energy are computed using the dual methodology. In particular, we show the stability of a dual elastodynamic equilibrium solution for which there are regions of non-vanishing length with negative elastic stiffness, i.e. non-hyperbolic regions, for which the corresponding primal problem is ill-posed and demonstrates an explosive ‘Hadamard instability;’ this appears to have implications for the modeling of physically observed softening behavior in macroscopic mechanical response.","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141722266","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

A Second-Order Multiscale Model for Finite-Strain Poromechanics Based on the Method of Multiscale Virtual Power 基于多尺度虚拟力方法的有限应变孔力学二阶多尺度模型

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-07-10 DOI: 10.1007/s10659-024-10077-6

José Luís Medeiros Thiesen, Bruno Klahr, Thiago André Carniel, Pablo Javier Blanco, Eduardo Alberto Fancello

{"title":"A Second-Order Multiscale Model for Finite-Strain Poromechanics Based on the Method of Multiscale Virtual Power","authors":"José Luís Medeiros Thiesen, Bruno Klahr, Thiago André Carniel, Pablo Javier Blanco, Eduardo Alberto Fancello","doi":"10.1007/s10659-024-10077-6","DOIUrl":"https://doi.org/10.1007/s10659-024-10077-6","url":null,"abstract":"A second-order multiscale theory based on the concept of a Representative Volume Element (RVE) is proposed to link a classical poromechanical model at the RVE scale to a high-order poromechanical model at the macro-scale in the context of finite-strain kinematics. The proposed theory is carefully derived from the Principle of Multiscale Virtual Power, which is a generalization of the Hill-Mandel Principle of Macrohomogeneity. The coupled governing equations of the low-scale and the homogenization rules for the flux and stress-like quantities are obtained by means of standard variational arguments. The main theoretical result is that the minimally constrained space for the pore pressure field allows for non-zero net fluid flow across the RVE boundaries, unlike first-order theories. The direct consequence of this finding is that the present theory can be consistently applied in cases where the low-scale (RVE level) exhibits substantial volume changes (swelling or shrinking) as a consequence of the evolution of the macro-scale kinematics. Details of formulation development and expression for the homogenized tangent operators are presented for those interested in the computational implementation of the model.","PeriodicalId":624,"journal":{"name":"Journal of Elasticity","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141569988","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

On the Kinematics of Growth of Regular Boundaries of Bodies into Fractals 论物体规则边界向分形增长的运动学

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-07-10 DOI: 10.1007/s10659-024-10080-x

Vladimir Gol’dshtein, Reuven Segev

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Axisymmetric Contact Problem for a Homogeneous Space with a Circular Disk-Shaped Crack Under Static Friction 静摩擦力作用下带有圆盘形裂缝的均质空间的轴对称接触问题

IF 2 3区工程技术

Journal of Elasticity Pub Date : 2024-07-09 DOI: 10.1007/s10659-024-10078-5

V. Hakobyan, A. Sahakyan, H. A. Amirjanyan, L. Dashtoyan

引用次数: 0