Kuhl, Ellen; Steinmann, Paul; Carol, Ignacio A thermodynamically consistent approach to microplane theory. II: Dissipation and inelastic constitutive modeling. (English) Zbl 0999.74013 Int. J. Solids Struct. 38, No. 17, 2933-2952 (2001). The concept of thermodynamically consistent approach to microplane theory introduced in part I [see the foregoing entry] is dealt with more deeply in order to apply this approach to any kind of rheological behavior. To this aim, the microscopic strain components of one (micro)plane are derived by projection of the macroscopic strain tensor, leading to a kinematically constrained model. Then, according to the basic concept of microplane theory, the macroscopic material description is obtained by integrating the microplane stress-strain relations over all orientations of the microplane at a material point. The identification is made through the use of the principle of virtual power. The microplane laws are chosen such that the macroscopic version of Clausius-Duhem inequality is satisfied. This generic concept is applied to classical models of elasticity, elastic damage and elasto-plasticity. Finally, the results are documented by the analysis of pointwise texture evolution for the model problems provided by uniaxial tension and simple shear. Reviewer: G.A.Maugin (Paris) Cited in 7 Documents MSC: 74A60 Micromechanical theories 74A15 Thermodynamics in solid mechanics 74C99 Plastic materials, materials of stress-rate and internal-variable type 74A20 Theory of constitutive functions in solid mechanics Keywords:dissipation; microplane theory; microscopic strain; macroscopic strain tensor; kinematically constrained model.; microplane stress-strain relations; principle of virtual power; Clausius-Duhem inequality; elasticity; elastic damage; elasto-plasticity; texture evolution; uniaxial tension; simple shear PDFBibTeX XMLCite \textit{E. Kuhl} et al., Int. J. Solids Struct. 38, No. 17, 2933--2952 (2001; Zbl 0999.74013) Full Text: DOI