Contents -- Preface -- 1. Introduction -- 2. Geometry -- 2.1 Deformation gradient, material vectors -- 2.2 Measures of deformation -- 2.3 Extension, dilatation, shear -- 2.4 Displacement -- 2.5 Geometrical compatibility conditions -- 2.6 Geometrical compatibility condition for singular surfaces -- 3. Kinematics -- 3.1 Basic notions -- 3.2 Objective time derivatives -- 3.3 Boundaries, kinematical compatibility condition for singular surfaces -- 3.3.1 Introduction -- 3.3.2 Modicum of surface geometry -- 3.3.3 Time dependence of surfaces -- 3.3.4 Kinematical compatibility conditions -- 4. Balance equations -- 4.1 Balance laws in Lagrangian description -- 4.2 Balance laws in Eulerian description -- 4.3 Extension on membranes and interfaces -- 5. Second law of thermodynamics -- 5.1 Entropy inequality, thermodynamical admissibility -- 5.1.1 Motivation -- 5.1.2 Entropy inequality -- 5.1.2.1 Entropy principle -- 5.1.2.2 Thermoelasticity . -- 5.1.3 I-Shih Liu Theorem -- 5.2 Isotropy, material objectivity -- 5.2.1 Example - rigid heat conductor -- 5.2.2 Isotropy -- 5.2.3 Material objectivity, example: Monney-Rivlin materials -- 5.3 Materials with constraints -- 5.4 Constitutive relations for various thermoelastic materials -- 5.4.1 Neo-Hookean material -- 5.4.2 Mooney-Rivlin material -- 5.4.3 Biological tissue -- 5.4.4 Ogden.s materials -- 5.4.5 Gent.s material -- 5.4.6 Generalized Blatz-Ko material -- 5.4.7 Signiorini.s material -- 5.4.8 St.Venant-Kircho¤ material -- 5.5 Proportionality Theorem -- 6. Equilibrium Gibbs thermodynamics -- 6.1 Thermostatics of gases -- 6.2 Thermostatic theory of homogeneous mixtures -- 7. Kinetic theories -- 7.1 Liouville equation -- 7.2 BBGKY-hierarchy -- 7.3 Boltzmann equation -- 8. Extended thermodynamics -- 8.1 General structure -- 8.2 Nonrelativistic ideal gases -- 8.3 A few remarks on boundary conditions.

9. Thermodynamical model of viscoelastic materials -- 9.1 Foundations -- 9.2 Thermodynamical admissibility -- 9.3 Viscous fluids, linear viscoelastic solids -- 9.4 Maxwell fluid, Rivlin-Ericksen fluids -- 9.4.1 Preliminary remarks -- 9.4.2 Extended thermodynamics of non-Newtonian non-conducting fluids -- 9.4.3 Thermodynamics of a heat conducting Maxwellian fluid -- 9.4.3.1 Evaluation of the entropy inequality -- 9.4.3.2 Transitions to second order fluids -- 10. Elasto-viscoplastic materials -- 10.1 Preliminaries -- 10.2 Local con.gurations -- 10.3 Crystal plasticity of monocrystals -- 10.4 Polycrystals and orientation distribution function -- 10.5 Thermodynamical admissibility -- 10.6 Two particular classes of models -- 11. Thermodynamics of miscible mixtures -- 11.1 General structure and field equations -- 11.2 Thermodynamical admissibility -- 12. Thermodynamics of immiscible mixtures: Introduction and models without the field of porosity -- 13. Thermodynamics of poroelastic materials with the balance equation of porosity -- 13.1 General structure -- 13.2 Two-component poroelastic materials -- 13.3 Linear models of saturated poroelastic materials -- 13.4 Waves in poroelastic materials -- 13.5 On adsorption in porous materials -- 13.5.1 Adsorption for large channel diameter -- 13.5.2 Adsorption for small channel diameter -- capillarity -- 14. Final remarks -- 1. Materials with memory -- 2. Phase transitions, hysteresis, non-convex problems -- 3. Coupled fields -- 4. Relativistic thermodynamics -- 5. Non-local problems -- 6. Surface thermodynamics -- 7. Axiomatic foundations -- Appendix A Vectors and tensors on Euclidean spaces -- A.1 Reminder of tensor calculus -- A.2 Coordinates -- A.3 Euclidean shifters, differentiation -- A.4 Physical components -- A.5 Transformations of Green and Kelvin -- Appendix B Basic physical units -- Bibliography -- Index.