Non-linear deformations of porous elastic solids

被引：9
|
作者：
Iesan, D. [1 ]
Quintanilla, R. [2 ]
机构：
[1] Romanian Acad, Octav Mayer Inst Math, Iasi 700508, Romania
[2] UPC, Barcelona 08222, Spain
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2013年 / 49卷
关键词：
Porous elastic bodies; Constitutive equations; Existence result; Torsion of a circular cylinder; Flexure; ELLIPTICITY; EXISTENCE; THEOREMS; TORSION; WAVES;
D O I：
10.1016/j.ijnonlinmec.2012.08.005
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
This paper is concerned with the non-linear theory of porous elastic bodies. First, we present the basic equations in general curvilinear coordinates. The constitutive equations for porous elastic bodies with incompressible matrix material are derived. Then, the equilibrium theory is investigated. An existence result within the one-dimensional theory is presented. The theory is applied in order to study the torsion of an isotropic circular cylinder and the flexure of a cuboid made of an anisotropic material. It is shown that the equations of equilibrium reduce to a single ordinary differential equation governing an unknown function which characterizes the aforementioned deformations. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：57 / 65
页数：9
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