1 VECTOR AND TENSOR THEORY
1 Vector algebra
2 Tensor algebra
3 The tensor product
4 Proper vectors and proper numbers of tensors
5 Symmetric tensors
6 Skew-symmetric tensors
7 Orthogonal tensors
8 Polar decompositions
9 Geometrical consideration: Coordinates
10 "Scalar, vector and tensor fields"
11 Integral theorems
Exercises
2 BASIC KINEMATICS
1 "Bodies, configurations and motions"
2 The referential and spatial descriptions
3 The deformation and velocity gradients
4 Stretch and rotation
5 Stretching and spin
6 Circulation and vorticity
Exercises
3 "BALANCE LAWS, FIELD EQUATIONS AND JUMP CONDITIONS"
1 Mass
2 "Momentum, force and torque"
3 The theory of stress
4 Equations of motion
5 Energy
6 Jump conditions
Exercises
4 CONSTITUTIVE EQUATIONS
1 Basic constitutive statement
2 Examples of constitutive equations
3 Observer transformations
4 Reduced constitutive equations
5 Material symmetry
6 Internal constraints
7 Incompressible Newtonian viscous fluids
8 Isotropic elastic materials
Exercises
Hints and Answers to Exercises
Appendices
Index