The Elements of Continuum Mechanics

Front Matter....Pages i-v
Bodies and Motions....Pages 1-16
Kinematics. Changes of Frame....Pages 17-25
Forces, Constitutive Equations, Simple Materials....Pages 26-38
Reduced Constitutive Equations. Internal Constraints....Pages 39-46
Homogeneous Motions of Simple Bodies....Pages 47-55
The Isotropy Group. Solids, Isotropic Materials, Fluids, Fluid Crystals....Pages 56-64
Motions with Constant Stretch History....Pages 65-72
The Stress System in Viscometric Flows of Incompressible Fluids....Pages 73-79
Dynamical Conditions in Viscometric Flows....Pages 80-91
Impossibility of Rectilinear Flow in Pipes....Pages 92-97
Elastic Materials....Pages 98-109
Normal Tractions in Simple Shear of Isotropic Bodies....Pages 110-116
Some Non-Homogeneous Deformations of Isotropic Incompressible Bodies....Pages 117-128
Infinitesimal Deformation....Pages 129-136
Iterative Solution of the Boundary-Value Problem of Traction....Pages 137-145
Inequalities for Isotropic Materials....Pages 146-154
A General Inequality....Pages 155-160
Wave Propagation....Pages 161-173
Infinitesimal Stability and Uniqueness....Pages 174-181
Hyperelastic Materials....Pages 182-189
Work Theorems in Hyperelasticity....Pages 190-196
Principles of Fading Memory....Pages 197-204
Positions of the Classical Theories of Continua....Pages 205-215
The Incompressible Fluid of Second Grade....Pages 216-221
Secondary Flows in Pipes....Pages 222-232
Thermodynamics of Homogeneous Process....Pages 233-241
Thermodynamics of Simple Materials....Pages 242-255
Wave Propagation in Dissipative Materials....Pages 256-264
Stability in Energy. Variational Theorems....Pages 265-272
Thermostatic Equilibrium....Pages 273-279