Institute of Fundamental Technological Research

A general constitutive inequality for time-independent solids has been recently derived by Petryk from the normality and symmetry assumptions adopted at a micro-level of an elastic-plastic heterogeneous aggregate. The objective of this communication is to discuss its validity for a class of inelastic solids characterized by the existence of a thermodynamic potential and by the maximum dissipation principle. As an example, a material with a number of Griffith's micro-cracks is considered.

Elastoplasticity, Griffith crack, Variational inequality, Heterogeneous material, Internal variable material, Microcrack, Thermodynamics