Computational Homogenization of Materials with Microstructures based on Incremental Variational Formulations
Computational Homogenization of Materials with Microstructures based on Incremental Variational Formulations
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基于增量变分公式的微结构材料的计算均质化
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
J. Schotté
中科院分区：
文献类型：
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作者：
C. Miehé;Matthias Lambrecht;J. Schotté
本文提出了增量最小化原则的广泛类标准耗散材料在有限应变。从局部本构材料响应的极小化原理出发，我们定义了标准耗散固体增量边值问题的极小化问题.这一原理的存在允许在凸化分析的基础上确定非稳定耗散材料的微观结构发展。最后，我们提出了一个最小化原则的边界值问题的均匀化在异质微结构。
The paper presents incremental minimization principles for the broad class of standard dissipative materials at finite strains. Starting with a minimization principle for the local constitutive material response we define a minimization problem for the incremental boundaryvalue problem of standard dissipative solids. The existence of this principle allows the determination of micro-structure developments in non-stable dissipative materials based on a convexification analysis. Finally, we propose a minimization principle for the boundary-value problem of homogenization in heterogeneous microstructures.