Computational homogenization based on a weak format of micro-periodicity for RVE-problems
Journal article, 2011
Computational homogenization with a priori assumed scale separation is considered, whereby the macroscale stress is obtained via averaging on Representative Volume Elements (RVE:s). A novel variational formulation of the RVE-problem, based on the assumption of weak micro-periodicity of the displacement fluctuation field, is proposed. Notably, independent FE-discretization of boundary tractions (Lagrange multipliers) allows for a parameterized transition between the conventional "strong" periodicity and Neumann boundary conditions. In this paper, the standard situation of macroscale strain control is considered. Numerical results demonstrate the convergence properties with respect to (1) the approximation of displacement and tractions and (2) the RVE-size for random realizations of the microstructure.
microstructures
plasticity
variational formulation
Elasticity
simulation
contact
Homogenization
macro
Mixed variational formulation
algorithm
representative volume
FEM
Author
Fredrik Larsson
Chalmers, Applied Mechanics, Material and Computational Mechanics
Kenneth Runesson
Chalmers, Applied Mechanics, Material and Computational Mechanics
S. Saroukhani
Dynamics
R. Vafadari
Chalmers, Applied Mechanics, Combustion and Propulsion Systems
Computer Methods in Applied Mechanics and Engineering
0045-7825 (ISSN)
Vol. 200 1-4 11-26Subject Categories
Mechanical Engineering
DOI
10.1016/j.cma.2010.06.023