The Representative Volume Size in Static and Dynamic Micro-Macro Transitions
The Representative Volume Size in Static and Dynamic Micro-Macro Transitions
复制标题
静态和动态微观-宏观转变中的代表性体积大小
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
E. Aifantis
中科院分区：
文献类型：
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作者：
I. Gitman;H. Askes;E. Aifantis
本文采用两种均匀化格式（一阶或局部，二阶或非局部）。在应用二阶均匀化的情况下，事实证明，在微观尺度下的弹性行为意味着在宏观应力的弹性本构方程中出现宏观应变的二阶空间和时间导数。二阶项的系数与均质化方案中使用的代表体积元素（RVE）的大小成比例。
Two homogenisation schemes (first-order or local, and second-order or non-local) are employed in this paper. In case second-order homogenisation is applied, it turns out that elastic behaviour at the micro-scale implies the appearance of second-order space and time derivatives of macroscopic strain in an otherwise elastic constitutive equation for the macroscopic stress. The coefficients of the second-order terms scale with the size of the Representative Volume Element (RVE) employed in the homogenisation scheme.