Nonlinear Finite Elements for Continua and Structures Ted Belytschko, Wing Kam Liu, Brian Moran Northwestern University, Evanston, Illinois 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: aeo Lagrangian and arbitrary Lagrangian Eulerian treatments of continua aeo many of the material laws used in todaya s software and research aeo solution methods, including explicit and implicit time integration methods and methods for equilibrium problems aeo basic concepts such as stability and smoothness, and techniques such as linearization and regularization aeo methods for shells and structures aeo contact--impact problems aeo 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.
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