On Micro-Macro Transition in Non-Linear Mechanics

This paper is devoted to the description of the general relationships between microscopic and macroscopic mechanical quantities in non-linear mechanics. From a thermodynamical viewpoint, it is only necessary to know the two macroscopic potentials (macroscopic free energy and macroscopic potential of...

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Bibliographic Details
Main Author: Claude Stolz
Format: Article
Language:English
Published: MDPI AG 2010-01-01
Series:Materials
Subjects:
Online Access:http://www.mdpi.com/1996-1944/3/1/296/
Description
Summary:This paper is devoted to the description of the general relationships between microscopic and macroscopic mechanical quantities in non-linear mechanics. From a thermodynamical viewpoint, it is only necessary to know the two macroscopic potentials (macroscopic free energy and macroscopic potential of dissipation) to describe the state of the body and its quasistatic evolution. These global potentials are the averages of the local ones. We point out some particular cases of non-linearities, especially the case of damaged materials.
ISSN:1996-1944