London: Imperial College Press, 1997, 183 pp.
Introduction and Structural Analysis.
Computer Programming.
Structural Analysis.
Case Study: Bending of a Tapered Beam.
Continuum Mechanics Problems.
Continuum Mechanics Equations.
Some Physical Problems.
Classification of Partial Differential Equations.
Methods for Solving Harmonic and Biharmonic Equations.
Finite Element Analysis of Harmonic Problems.
Derivation of the Element Stiffness Matrix.
Assembly of the Overall Stiffness Matrix.
Comparison with the Finite Difference Approach.
ariational Formulation.
Boundary Conditions.
Solution of the Linear Equations.
Convergence of Finite Element Methods.
A Computer Program for Harmonic Problems.
Finite Element Meshes.
Choice of Mesh.
Mesh Data in Numerical Form.
Generation of Mesh Data.
Mesh Modification.
Some Harmonic Problems.
Case Study: Downstream Viscous Flow in a Rectangular Channel.
Case Study: Torsion of Prismatic Bars.
Finite Element Analysis of Biharmonic Problems.
ariational Formulation.
Boundary Conditions.
Derivation of the Element Stiffness Matrix.
Assembly of the Overall Stiffness Matrix.
Solution of the Linear Equations.
A Computer Program for Problems of the Biharmonic.
Plane Strain or Plane Stress Type.
Some Biharmonic Problems.
Case Study: Plane Strain Compression.
Case Study: Stresses in Concentric Cylinders.
Case Study: Stress Concentration near a Hole in a.
Flat Plate.
Further Applications.
Axi-symmetric Problems.
Higher-order Elements.
Three-dimensional Problems.
Biharmonic Problems Involving Incompressible.
Plate and Shell Problems.
soparametric Elements.
Nonlinear Problems.
A Summary of the Finite Element Approach.