.png){kind=icon}
返回
Material spatial randomness: From statistical to representative volume element
.png){kind=icon}
PRE
AI
DOI：10.1016/j.probengmech.2005.07.007.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
The material spatial randomness forces one to re-examine various basic concepts of continuum solid mechanics. In this paper we focus on the Representative Volume Element (RVE) that is commonly taken for granted in most of deterministic as well as in stochastic solid mechanics, although in the latter case it is called the Statistical Volume Element (SVE). The key issue is the scale over which homogenization is being carried out-it is called the mesoscale, separating the microscale (level of microheterogeneities) from the macroscale (level of RVE). As the mesoscale grows, the SVE tends to become the RVE. This occurs in terms of two hierarchies of bounds stemming from Dirichlet and Neumann boundary value problems on the mesoscale, respectively. Since generally there is no periodicity in real random media, the RVE can only be approached approximately on finite scales. We review results on this subject in the settings of linear elasticity, finite elasticity, plasticity, viscoelasticity, thermoelasticity, and permeability. (C) 2005 Elsevier Ltd. All rights reserved.
Keyword:
random media
representative volume element
statistical volume element
scale effects
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.5
论文数:
1.7K
被引数:
4.1K
机构
暂无机构信息
引用论文
Bounding of effective thermal conductivities of multiscale materials by essential and natural boundary conditions.png)
PHYSICAL REVIEW B
PHYSICAL REVIEW BIF3.7
PREAI
分享收藏
查看更多内容