Multiscale elastic-viscoplastic computational analysis | Zendy

Nicolas Relun | Zendy; David Néron | Zendy; Pierre- Alain Boucard | Zendy

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Multiscale 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.

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