Preface to the Second Edition |
Preface to the First Edition |
General Considerations / I: |
Introduction / 1: |
Notation for stress and displacement / 1.1: |
Strains and their relation to displacements / 1.2: |
Stress-strain relations / 1.3: |
Problems |
Equilibrium and Compatibility / 2: |
Equilibrium equations / 2.1: |
Compatibility equations / 2.2: |
Equilibrium equations for displacements / 2.3: |
Two-Dimensional Problems / II: |
Plane Strain and Plane Stress / 3: |
Plane strain / 3.1: |
Plane stress / 3.2: |
Stress Function Formulation / 4: |
The concept of a scalar stress function / 4.1: |
Choice of a suitable form / 4.2: |
The Airy stress function / 4.3: |
The governing equation / 4.4: |
Problem |
Problems in Rectangular Coordinates / 5: |
Biharmonic polynomial functions / 5.1: |
Rectangular beam problems / 5.2: |
Series and transform solutions / 5.3: |
End Effects / 6: |
Decaying solutions / 6.1: |
The corrective solution / 6.2: |
Other Saint-Venant problems / 6.3: |
Body Forces / 7: |
Stress function formulation / 7.1: |
Particular cases / 7.2: |
Solution for the stress function / 7.3: |
Rotational acceleration / 7.4: |
Problems in Polar Coordinates / 8: |
Expressions for stress components / 8.1: |
Strain components / 8.2: |
Fourier series expansion / 8.3: |
The Michell solution / 8.4: |
Calculation of Displacements / 9: |
The cantilever with an end load / 9.1: |
The circular hole / 9.2: |
Displacements for the Michell solution / 9.3: |
Curved Beam Problems / 10: |
Loading at the ends / 10.1: |
Eigenvalues and eigenfunctions / 10.2: |
The inhomogeneous problem / 10.3: |
Some general considerations / 10.4: |
Wedge Problems / 11: |
Power law tractions / 11.1: |
Williams' asymptotic method / 11.2: |
General loading of the faces / 11.3: |
Plane Contact Problems / 12: |
Self-similarity / 12.1: |
The Flamant Solution / 12.2: |
The half-plane / 12.3: |
Distributed normal tractions / 12.4: |
Frictionless contact problems / 12.5: |
Problems with two deformable bodies / 12.6: |
Uncoupled problems / 12.7: |
Combined normal and tangential loading / 12.8: |
Forces, Dislocations and Cracks / 13: |
The Kelvin solution / 13.1: |
Dislocations / 13.2: |
Crack problems / 13.3: |
Thermoelasticity / 14: |
Heat conduction / 14.1: |
Steady-state problems / 14.3: |
Antiplane Shear / 15: |
Transformation of coordinates / 15.1: |
Boundary conditions / 15.2: |
The rectangular bar / 15.3: |
The concentrated line force / 15.4: |
The screw dislocation / 15.5: |
End Loading of the Prismatic Bar / III: |
Torsion of a Prismatic Bar / 16: |
Prandtl's stress function / 16.1: |
The membrane analogy / 16.2: |
Thin-walled open sections / 16.3: |
Multiply-connected (closed) sections / 16.4: |
Shear of a Prismatic Bar / 17: |
The semi-inverse method / 17.1: |
The boundary condition / 17.2: |
Methods of solution / 17.4: |
Three Dimensional Problems / IV: |
Displacement Function Solutions / 18: |
The strain potential / 18.1: |
The Galerkin vector / 18.2: |
The Papkovich-Neuber solution / 18.3: |
Completeness and uniqueness / 18.4: |
Body forces / 18.5: |
The Boussinesq Potentials / 19: |
Solution A: The strain potential / 19.1: |
Solution B / 19.2: |
Solution E: Rotational deformation / 19.3: |
Other coordinate systems / 19.4: |
Solutions obtained by superposition / 19.5: |
The plane strain solution in complex variables / 19.6: |
Thermoelastic Displacement Potentials / 20: |
Plane problems / 20.1: |
The method of strain suppression / 20.2: |
Steady-state temperature: Solution T / 20.3: |
Singular Solutions / 21: |
The source solution / 21.1: |
Dimensional considerations / 21.2: |
Other singular solutions / 21.3: |
Spherical Harmonics / 22: |
Fourier series solution / 22.1: |
Reduction to Legendre's equation / 22.2: |
Axisymmetric potentials and Legendre polynomials / 22.3: |
Non-axisymmetric harmonics / 22.4: |
Cartesian and cylindrical polar coordinates / 22.5: |
Harmonic potentials with logarithmic terms / 22.6: |
Non-axisymmetric cylindrical potentials / 22.7: |
Cylinders and Circular Plates / 23: |
Axisymmetric problems for cylinders / 23.1: |
Axisymmetric circular plates / 23.2: |
Non-axisymmetric problems / 23.3: |
Problems in Spherical Coordinates / 24: |
Solid and hollow spheres / 24.1: |
Conical bars / 24.2: |
Axisymmetric Torsion / 25: |
The transmitted torque / 25.1: |
Solution of the governing equation / 25.2: |
The displacement field / 25.4: |
Cylindrical and conical bars / 25.5: |
The Saint Venant problem / 25.6: |
Frictionless Contact / 26: |
Determining the contact area / 26.1: |
The Boundary-Value Problem / 27: |
Hankel transform methods / 27.1: |
Collins' Method / 27.2: |
Choice of form / 27.3: |
The Penny-Shaped Crack / 28: |
The penny-shaped crack in tension / 28.1: |
Thermoelastic problems / 28.2: |
The Interface Crack / 29: |
The uncracked interface / 29.1: |
The contact solution / 29.2: |
Implications for Fracture Mechanics / 29.5: |
The Reciprocal Theorem / 30: |
Maxwell's Theorem / 30.1: |
Betti's Theorem / 30.2: |
Use of the theorem / 30.3: |
Using Maple and Mathematica / 30.4: |
Index |
Preface to the Second Edition |
Preface to the First Edition |
General Considerations / I: |
Introduction / 1: |
Notation for stress and displacement / 1.1: |
Strains and their relation to displacements / 1.2: |