On the thermodynamic consistency of the equivalence principle in continuum damage mechanics

We consider theories of continuum damage mechanics involving damage effect variables of different tensorial ranks. It turns out that orthotropic damage together with the use of Lemaitre's equivalence principle for the elastic part does not allow thermodynamic potentials such as the free enthalp...

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Bibliographic Details
Published in:Journal of the mechanics and physics of solids 2011-05, Vol.59 (5), p.1115-1120
Main Authors: Keller, A., Hutter, K.
Format: Article
Language:English
Subjects:
Anisotropic material
Consistency
Continuum damage mechanics
Damage
Damage mechanics
Elastic material
Enthalpy
Equivalence principle
Microcracking
Thermodynamics
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Summary:We consider theories of continuum damage mechanics involving damage effect variables of different tensorial ranks. It turns out that orthotropic damage together with the use of Lemaitre's equivalence principle for the elastic part does not allow thermodynamic potentials such as the free enthalpy to exist. As the existence of these potentials is, however, a strict thermodynamic requirement, a theory employing orthotropic damage in this way is inconsistent. We show that the use of a rank-4 damage effect variable allows a consistent use of the equivalence principle.
ISSN:0022-5096
DOI:10.1016/j.jmps.2011.01.015