×

A constitutive inequality for time-independent dissipative solids. (English) Zbl 0713.73005

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

Citations:

Zbl 0668.73004
PDFBibTeX XMLCite