Third-order bound of nonlinear composites and porous media under hydrostatic deformation

被引：0
|
作者：
Xu, X. Frank [1 ]
Jie, Yuxin [2 ]
机构：
[1] Beijing Jiaotong Univ, Sch Civil Engn, Beijing 100044, Peoples R China
[2] Tsinghua Univ, State Key Lab Hydrosci & Engn, Beijing L00086, Peoples R China
来源：
MECHANICS OF MATERIALS | 2014年 / 68卷
关键词：
Variational bounds; Composites; Porous media; Nonlinear homogenization; VARIATIONAL-PRINCIPLES; REINFORCED COMPOSITES; MECHANICAL-PROPERTIES; FIELD; PLASTICITY;
D O I：
10.1016/j.mechmat.2013.08.006
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this study the third-order variational bound is explicitly derived for nonlinear composites subject to hydrostatic deformation. By formulating the stochastic extreme principle for nonlinear boundary value problems, the third-order upper bound of the potential is derived for nonlinear two-phase composites, which is further explicitly specialized to porous media. Examples of application are provided by applying the derived bound to various cases of composites and porous media characterized with power law nonlinearity. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：137 / 146
页数：10
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