We discuss the problem of finding strain function whose gradient coincides with a given stress-strain relationship. To this purpose, classic theorems for the existence of potentials of nonlinear operator are applied. Two types of stress-strain relationships are addressed. First, a stress-strain relationship of gradient type for elastic materials is studied, where the stress depends on the second gradient of the strain. Furthermore, a stress-strain relationship for isotropic elasto-damaging materials is discussed, where the damage parameter depends explicitly on the strain.

On pseudo-strain energies for elastic damaging and nonlocal materials

BENVENUTI, Elena;TRALLI, Antonio Michele;
2002

Abstract

We discuss the problem of finding strain function whose gradient coincides with a given stress-strain relationship. To this purpose, classic theorems for the existence of potentials of nonlinear operator are applied. Two types of stress-strain relationships are addressed. First, a stress-strain relationship of gradient type for elastic materials is studied, where the stress depends on the second gradient of the strain. Furthermore, a stress-strain relationship for isotropic elasto-damaging materials is discussed, where the damage parameter depends explicitly on the strain.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/517365
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