Constitutive Inequalities for the Damage of Elastic-Brittle Materials
Starting from the requirement that the principle of determinism be satisfied, two constitutive inequalities are derived for one-dimensional strain- and stress-based continuum damage models. The one-dimensional constitutive inequality corresponding to the strain-based formulation turns out to be much less restrictive than the one associated to the stress-based formulation and is extended to the three-dimensional case. This extension gives a general constitutive inequality for the damage of elastic-brittle materials.
Yi Tan and Dongying Ju
Q. C. He and J.Z. Zhou, "Constitutive Inequalities for the Damage of Elastic-Brittle Materials", Materials Science Forum, Vols. 675-677, pp. 891-899, 2011