Thermomechanics of Continua

1 Introduction.- 1.1 Preliminary Remarks.- 1.2 Chains of Mass Points.- 1.3 Contents of the Book.- 2 Geometry.- 2.1 Reference and Current Configurations.- Remark 2.1. On Non-material Vectors.- Remark 2.2. On Non-integrable Deformation Gradients.- 2.2 Polar Decomposition of the Deformation Gradient.- Example 2.1. Deformation of a Prism in the Homogeneous Extension.- Example 2.2. Deformation of a Prism in the Simple Shearing.- Example 2.3. A Polar Decomposition and Elastic-plastic Deformation.- 2.3 Some Other Measures of Deformation.- Remark 2.3. On Universal Solutions - Part.- 3 Kinematics.- 3.1 Description of Motion.- 3.2 Time Changes of Some Geometric Objects.- 3.3 Change of the Reference Frame.- Remark 3.1. On Objective Time Derivatives.- 4 Balance Equations.- 4.1 Preliminary Remarks.- 4.2 Global Balance Equations.- 4.3 Local Balance Equations.- 4.4 Local Conservation Laws.- 4.5 Spatial Form of Balance Equations.- 4.6 Spatial Form of the Local Conservation Laws.- Example 4.1. Stresses in the Homogeneous Extension of a Prism.- 4.7 Conservation Laws in a Non-Inertial Frame of Reference.- 5 Structure of Field Equations.- 5.1 Introductory Remarks.- Example 5.1. Isothermal Processes in a Linearly Elastic Rod.- Example 5.2. The Heat Conducting Linearly Elastic Rod.- 5.2 Isotropic Functions.- Example 5.3. Euler; the Basic Invariants and Generators for m Vector Variables.- Example 5.4. The Basic Invariants and Generators for one Vector and one Symmetric Tensor Variable.- Example 5.5. The Linearization for one Vector and one Symmetric Tensor Variable.- 5.3 Galilean Invariance of Field Equations.- Example 5.6. The Field Equations for Thirteen Fields.- Remark 5.1. On the Moments of the Boltzmann Equation.- Remark 5.2. On the Material Objectivity.- 6 Entropy Principle.- 6.1 Preliminary Remarks.- 6.2 Entropy Inequality.- Example 6.1. Eulerian Heat Conducting Fluid.- Example 6.2. Thermo-Viscoelastic Rod.- 6.3 Hyperbolicity of Field Equations.- 6.4 Thermoelastic Materials with

From the reviews
"The subjects presented in this book are treated accurately and specific results are derived which have appeared in the recent literature. Hence the book is recommended both for basic notions of thermomechanics of continua and for updated developments of some topics such as hyperbolicity of field equations, Maxwellian fluids, second sound, porous materials. The book is certainly useful for students and researchers in mathematics, physics and engineering." (Meccanica, 1999)