Quoc Son Nguyen; Petryk, Henryk A constitutive inequality for time-independent dissipative solids. (English) Zbl 0713.73005 C. R. Acad. Sci., Paris, Sér. II 312, No. 1, 7-12 (1991). Summary: A general constitutive inequality for time-independent solids has been recently derived by H. Petryk [J. Mech. Phys. Solids 37, No.2, 265- 291 (1989; Zbl 0668.73004)] 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 microcracks is considered. MSC: 74A20 Theory of constitutive functions in solid mechanics 74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) 74C20 Large-strain, rate-dependent theories of plasticity 74S30 Other numerical methods in solid mechanics (MSC2010) 74P10 Optimization of other properties in solid mechanics 74C99 Plastic materials, materials of stress-rate and internal-variable type 49J40 Variational inequalities Keywords:class of inelastic solids; existence of a thermodynamic potential; maximum dissipation principle; Griffith’s microcracks Citations:Zbl 0668.73004 PDFBibTeX XMLCite \textit{Quoc Son Nguyen} and \textit{H. Petryk}, C. R. Acad. Sci., Paris, Sér. II 312, No. 1, 7--12 (1991; Zbl 0713.73005)