The representative volume size in static and dynamic micro-macro transitions
Document Type
Article
Publication Date
9-2005
Department
Department of Mechanical Engineering-Engineering Mechanics
Abstract
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.
Publication Title
International Journal of Fracture
Recommended Citation
Gitman, I.,
Askes, H.,
&
Aifantis, E. C.
(2005).
The representative volume size in static and dynamic micro-macro transitions.
International Journal of Fracture,
135(1-4).
http://doi.org/10.1007/s10704-005-4389-6
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4897
