Nonlinear Finite Elements for Continua and Structures

This book provides a comprehensive description of the major methodologies of nonlinear finite element analysis for solid mechanics, as applied to continua and structures. Treatment of the subject is integrated in such a way that the reader can gain an understanding of the fundamental methods, a feeling for the comparative usefulness of different approaches and an appreciation of the difficulties inherent in nonlinear analysis. In-depth coverage of the following is given: Lagrangian and arbitrary Lagrangian Eulerian treatments of continua many of the material laws used in todays software and research solution methods, including explicit and implicit time integration methods and methods for equilibrium problems basic concepts such as stability and smoothness, and techniques such as linearization and regularization methods for shells and structures contact-impact problems element technology, including multi-field elements Ideal for self-study, no other book provides such a comprehensive description of nonlinear finite element analysis for solid mechanics. This is an invaluable reference not only for final year undergraduates, postgraduates, academics and engineers working on sophisticated finite element software and in the field of solid mechanics, but also for all users of nonlinear finite element programs.Belytschko, Ted is the author of 'Nonlinear Finite Elements for Continua and Structures', published 2000 under ISBN 9780471987734 and ISBN 0471987735.