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非协调元在复合材料安定下限分析中的应用

陈敏 汤文成

计算力学学报2012,Vol.29Issue(4):631-634,4.
计算力学学报2012,Vol.29Issue(4):631-634,4.

非协调元在复合材料安定下限分析中的应用

Application of non-conforming element in lower-bound shakedown analysis of composites

陈敏 1汤文成2

作者信息

  • 1. 东南大学,南京211189/RWTH-Aachen University,Aachen 52064
  • 2. 东南大学,南京211189
  • 折叠

摘要

Abstract

With the combination of homogenization theory and strain approach, limit and shakedown anal- ysis of composites is investigated on the microscopic level by using stress function method. The admissi- ble loading domain of representative volume element can be obtained under the unknown loading history. An eight node non-conforming isoparametric finite element is used to discritize the physical model, and the self-equilibrated residual stresses as well as the local stresses are obtained to establish the mathemat- ical programming of lower-bound shakedown problem. The application of non-conforming element not only achieves the qualified accuracy as the second order element, but also reduces the computational scale. Limit and shakedown analysis of fiber reinforced metal matrix periodic composites is done to prove the validity and reliability of application of the non-conforming element.

关键词

非协调元/安定下限分析/均匀化理论/应变法/周期性复合材料/代表性体积元

Key words

non-conforming element/lower-bound shakedown analysis/homogenization theory/strainapproach/periodic composites/representative volume element(RVE)

分类

通用工业技术

引用本文复制引用

陈敏,汤文成..非协调元在复合材料安定下限分析中的应用[J].计算力学学报,2012,29(4):631-634,4.

计算力学学报

OA北大核心CSCDCSTPCD

1007-4708

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