RT Journal Article
ID 374fb2fd66081f47
A1 Ostoja-Starzewski, Martin
A1 Du, X.
A1 Khisaeva, Z. F.
A1 Li, W.
T1 Comparisons of the Size of the Representative Volume Element in Elastic, Plastic, Thermoelastic, and Permeable Random Microstructures
JF International Journal for Multiscale Computational Engineering
JO JMC
YR 2007
FD 2007-08-28
VO 5
IS 2
SP 73
OP 82
AB The representative volume element (so-called RVE) is the cornerstone of continuum mechanics. In this paper we examine the scaling to RVE in linear elasticity, finite elasticity, elastoplasticity, thermoelasticity, and permeability of random composite materials. In order to compare the scaling to RVE between all these physical systems we introduce a discrepancy defined in terms of responses under uniform essential boundary conditions and uniform natural boundary conditions. Overall, the discrepancy is found to increase in the following order: linear elasticity, plasticity, linear thermoelasticity, nonlinear elasticity, and then permeability. However, the latter case cannot really be compared directly to other cases since the mismatch between solid and fluid phases in porous media is infinite.
PB Begell House
LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,25cc62a120ff4480,374fb2fd66081f47.html