An Introduction to Linear and Nonlinear Finite Element Analysis: A Computational Approach

Abstract

1. Introduction -- 2. One-Dimensional Shape Functions -- 3. One-Dimensional Second-Order Equation -- 4. One-Dimensional Fourth-Order Equation -- 5. Two-Dimensional Elements -- 6. Two-Dimensional Problems -- 7. More Two-Dimensional Problems -- 8. Axisymmetric Heat Transfer -- 9. Transient Problems -- 10. Single Nonlinear One-Dimensional Problems -- 11. Plane Elasticity -- 12. Stokes Equations and Penalty Method -- 13. Vibration Analysis -- 14. Computer Codes -- A. Integration Formulas -- B. Special Cases -- C. Temporal Approximations -- D. Isoparametric Elements -- E. Green's Identities -- F. Gaussian Quadrature -- G. Gradient-Based Methods.