The Representative Volume Size in Static and Dynamic Micro-Macro Transitions
by Gitman, Inna M.; Askes, Harm; Aifantis, Elias C.
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.
DOI: 10.1007/s10704-005-4389-6
Print publication date: 9/1/2005
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