Nonlinear finite element analysis consists of the development of a model, formulation, discretization and solution of the governing equations, and interpretation of the results. This is applied to continua - continuous series or wholes ranging between two extremes - and structures. It is an essential component of computer-aided design, as testing of prototypes is increasingly being replaced by simulation, with nonlinear finite element methods providing a more rapid and less expensive way to evaluate design concepts and details.
In a textbook for beginning students of mechanical or civil engineering, applied mathematics, or engineering mechanics, three engineers at Northwestern University use a mechanical rather than mathematical approach to introduce the formulation and solution of the discrete equations for various classes of problems that are of principal interest in applications of the finite element method to solid and structural mechanics. They assume students to have some background with the finite element method; shape functions, stiffness and force assembly; and variational or energy methods. Annotation c. Book News, Inc., Portland, OR (booknews.com)
List of Boxes.
Lagrangian and Eulerian Finite Elements in One Dimension.
Solution Methods and Stability.
Arbitrary Lagrangian Eulerian Formulations.
Beams and Shells.
Appendix 1: Voigt Notation.
Appendix 2: Norms.
Appendix 3: Element Shape Functions.