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Nonlinear Finite Elements for Continua and Structures

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by: Ted Belytschko, Wing Kam Liu, Brian Moran

# Paperback: 300 pages
# Publisher: Wiley; 1 edition (September 12, 2000)
# Language: English
# ISBN-10: 0471987743
# ISBN-13: 978-0471987741
# Product Dimensions: 9.5 x 6.6 x 1.6 inches
# Shipping Weight: 2.8 pounds

Product Description
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.



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Nonlinear Finite Elements for Continua and Structures

Author(s)/Editor(s): Ted Belytschko , Wing Kam Liu , Brian Moran , Khalil Elkhodary | Size: 9 MB | Format: PDF | Quality: Original preprint | Publisher: Wiley | Year: 2014 (2nd Edition) | pages: 834 | ISBN: 1118632702  | ISBN13: 9781118632703


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Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems.

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