An Introduction to Nonlinear Finite Element Analysis

Reddy (mechanical engineering, Texas A&M U.) writes for graduate students in engineering and applied mathematics, or for those practicing in such fields as aerospace or the automotive industries. He works through the finite element method and then applies it to such situations as heat transfer in one and two dimensions, nonlinear bending of straight beams and elastic plates, and flows of viscous incompressible fluids. From there he moves to nonlinear analysis of time-dependent problems and then to finite element formulations of solid continua. The appendices describe solution procedures for liner and non-linear algebraic equations. Reddy provides exercises and references for general topics.