连续介质力学初级教程（英文影印版）（第3版）

.2.6 analytical definitions of scalars, vectors, and cartesian tensors
2.7 the significance of tensor equations
2.8 notations for vectors and tensors: boldface or indices?
2.9 quotient rule
2.10 partial derivatives
3 stress
3.1 the idea of stress
3.2 the laws of motion
3.3 cauchy's formula
3.4 equations of equilibrium
3.5 change of stress components in transformation of coordinates
3.6 stress components in orthogonal curvilinear coordinates
3.7 stress boundary conditions
4 principal stresses and principal axes
4.1 introduction
4.2 plane state of stress
4.3 mohr's circle for plane stress
4.4 mohr's circles for three-dimensional stress states
4.5 principal stresses
4.6 shearing stresses
4.7 stress-deviation tensor
4.8 lam6's stress ellipsoid
5 analysis of deformation
5.1 deformation
5.2 the strain
5.3 strain components in terms of displacements
5.4 geometric interpretation of infinitesimal strain components
5.5 infinitesimal rotation
5.6 finite strain components
5.7 principal strains: mohr's circle
5.8 infinitesimal strain components in polar coordinates
5.9 direct derivation of the strain-displacement relations in polar coordinates
5.10 other strain measures
6 velocity field. and compatibility conditions
6.1 velocity fields
6.2 the compatibility condition
6.3 compatibility of strain components in three dimensions
7 constitutive equations
7.1 specification of the properties of materials
7.2 the nonviscous fluid
7.3 newtonian fluid
7.4 hookean elastic solid
7.5 effect of temperature
7.6 materials with more complex mechanical behavior
8 isotropy..
8.1 the concept of material isotropy
8.2 isotropic tensor
8.3 isotropic tensors of rank 3
8.4 isotropic tensors of rank 4
8.5 isotropic materials
8.6 coincidence of principal axes of stress and of strain
8.7 other methods of characterizing isotropy
8.8 can we recognize a material's isotropy from the microstructure?
9 mechanical properties of real fluids and solids
9.1 fluids
9.2 viscosity
9.3 plasticity of metals
9.4 materials with nonlinear elasticity
9.5 nonlinear stress-strain relationships of rubber and biological tissues
9.6 linear viscoelastic bodies
9.7 quasi-linear viscoelasticity of biological tissues
9.8 non-newtonian fluids
9.9 viscoplastic materials
9.10 sol-gel transformation and thixotropy
derivation of field equations
10.1 gauss's theorem
10.2 material description of the motion of a continuum
10.3 spatial description of the motion of a continuum
10.4 the material derivative of a volume integral
10.5 the equation of continuity
10.6 the equations of motion
10.7 moment of momentum
10.8 the balance of energy
10.9 the equations of motion and continuity in polar coordinates
field equations and boundary conditions in fluid mechanics
11.1 the navier-stokes equations
11.2 boundary conditions at a solid-fluid interface
11.3 surface tension and the boundary conditions at an interface between two fluids
11.4 dynamic similarity and reynolds number
11.5 laminar flow in a horizontal channel or tube
11.6 boundary layer
11.7 laminar boundary layer over a flat plate
11.8 nonviscous fluid
11.9 vorticity and circulation
11.10 irrotational flow
11.11 compressible nonviscous fluids
11.12 subsonic and supersonic flow
11.13 applications to biology
some simple problems in elasticity
12.1 basic equations of elasticity for homogeneous, isotropic bodies
12.2 plane elastic waves
12.3 simplifications
12.4 torsion of a circular cylindrical shaft
12.5 beams
12.6 biomechanics
stress, strain, and active remodeling of structures
13.1 introduction
13.2 how to discover the zero-stress state of material in a solid body
13.3 remodeling the zero-stress state of a structure: a biological example of active remodeling due to change in stress
13.4 change of zero-stress state with temperature: materials that "remember'' their shapes
13.5 morphological and structural remodeling of blood vessel due to a change in blood pressure
13.6 remodeling of mechanical properties...
13.7 stress analysis with the zero-stress state taken into account
13.8 stress-growth relationship
index