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Materials 2010, 3(1), 296-317; doi:10.3390/ma3010296

On Micro-Macro Transition in Non-Linear Mechanics

Received: 31 October 2009 / Revised: 10 December 2009 / Accepted: 14 December 2009 / Published: 8 January 2010
(This article belongs to the Special Issue Composite Materials)
Download PDF [197 KB, uploaded 9 January 2010]
Abstract: 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.
Keywords: homogeneization; damage; elastoplasticity; concentration tensor homogeneization; damage; elastoplasticity; concentration tensor
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Stolz, C. On Micro-Macro Transition in Non-Linear Mechanics. Materials 2010, 3, 296-317.

AMA Style

Stolz C. On Micro-Macro Transition in Non-Linear Mechanics. Materials. 2010; 3(1):296-317.

Chicago/Turabian Style

Stolz, Claude. 2010. "On Micro-Macro Transition in Non-Linear Mechanics." Materials 3, no. 1: 296-317.

Materials EISSN 1996-1944 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert