Open AccessMultiscale elastic-viscoplastic computational analysis
Author(s) -
Nicolas Relun,
David Néron,
Pierre- Alain Boucard
Publication year - 2011
Publication title -
european journal of computational mechanics
Language(s) - English
Resource type - Journals
eISSN - 2642-2085
pISSN - 2642-2050
DOI - 10.13052/ejcm.20.379-409
Subject(s) - viscoplasticity , constitutive equation , mathematics , computation , domain (mathematical analysis) , computer science , mathematical optimization , mathematical analysis , finite element method , structural engineering , algorithm , engineering
The objective of this work is to develop an efficient strategy for quasi-static problems with elastic-viscoplastic constitutive laws. Our approach is based on the multiscale LATIN method for domain decomposition, and particularly on the use of the Proper Generalized Decomposition (PGD) method, which allows a drastic decrease in computation costs. We present the method in its general form applicable to problems with constitutive laws expressed using internal variables; then we discuss the technical features which are necessary in order to deal with elastic-viscoplastic models. We illustrate the method in detail through a onedimensional example using a Chaboche-type elastic-viscoplastic constitutive law.