Premium
Adaptive Finite–Element Procedures for Homogenization Analysis of Heterogeneous Micro–Structures
Author(s) -
Koch A.,
Miehe C.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<221::aid-pamm221>3.0.co;2-z
Subject(s) - homogenization (climate) , finite element method , a priori and a posteriori , computation , estimator , nonlinear system , microstructure , mathematics , mixed finite element method , computer science , mathematical optimization , extended finite element method , mathematical analysis , mechanics , algorithm , structural engineering , materials science , physics , engineering , composite material , biodiversity , ecology , philosophy , statistics , epistemology , quantum mechanics , biology
The paper investigates adaptive finite element procedures for the treatment of homogenize macro‐continuums with locally attached micro‐structures of nonlinear elastic and elastoplastic constituents. The deformation of the microstructure is assumed to be driven by a macroscopic strain mode. In this context we investigate different constraints for the fluctuation field base on variational formulations. For the computation of the overall response of the microstructures we develop a distinct adaptive finite element procedure. We consider possible a priori and a posteriori error estimators for the homogenization analysis in connection with an adaptive remeshing procedure.