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Nonlinear Finite Elements for Continua and Structures (Paperback)

by Ted Belytschko (Author), Wing Kam Liu (Author), Brian Moran (Author) "In this chapter, one-dimensional models of nonlinear continua are described and the corresponding finite element equations are developed..." (more)
Key Phrases: interior continuity conditions, corotational coordinate system, nodal internal forces, Lagrangian Eulerian, Stability Chap, Dimension Chap (more...)
4.1 out of 5 stars See all reviews (10 customer reviews)

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Editorial Reviews

Product Description
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:
* Lagrangian and arbitrary Lagrangian Eulerian treatments of continua
* many of the material laws used in today's 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 und