On Micro-Macro Transition in Non-Linear Mechanics

Materials

关键词: homogeneization;    damage;    elastoplasticity;    concentration tensor;   

DOI  :  10.3390/ma3010296

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2010 by the author; licensee Molecular Diversity Preservation International, Basel, Switzerland.