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

Computer Methods in Applied Mechanics and Engineering

0045-7825 (ISSN)

Vol. 200 1-4 11-26

Subject Categories

Mechanical Engineering

DOI

10.1016/j.cma.2010.06.023

More information

Created

10/8/2017