Applied Finite Element Analysis, 2nd Edition

BASIC CONCEPTS.

One-Dimensional Linear Element.

A Finite Element Example.

Element Matrices: Galerkin Formulation.

Two-Dimensional Elements.

Coordinate Systems.

FIELD PROBLEMS.

Two-Dimensional Field Equation.

Torsion of Noncircular Sections.

Derivative Boundary Conditions: Point Sources and Sinks.

Irrotational Flow.

Heat Transfer by Conduction and Convection.

Acoustical Vibrations.

Axisymmetric Field Problems.

Time-Dependent Field Problems: Theoretical Considerations.

Time-Dependent Field Problems: Practical Considerations.

Computer Program for Two-Dimensional Field Problems.

STRUCTURAL AND SOLID MECHANICS.

The Axial Force Member.

Element Matrices: Potential Energy Formulations.

The Truss Element.

A Beam Element.

A Plane Frame Element.

Theory of Elasticity.

Two-Dimensional Elasticity.

Axisymmetric Elasticity.

Computer Programs for Structural and Solid Mechanics.

LINEAR AND QUADRATIC ELEMENTS.

Element Shape Functions.

Element Matrices.

Isoparametric Computer Programs.

References.

Appendices.