Wiley_ Nonlinear Finite Elements for Continua and Structures - Ted Belytschko, Wing Kam Liu, Brian Moran.pdf

10/29/13

Wiley: Nonlinear Finite Elements for Continua and Structures - Ted Belytschko, Wing Kam Liu, Brian Moran

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Nonlinear Finite Elements for Continua and Structures Ted Belytschko, Wing Kam Liu, Brian Moran ISBN: 978-0-471-98774-1 672 pages August 2000

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 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.

Table of Contents Preface. List of Boxes.

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10/29/13

Wiley: Nonlinear Finite Elements for Continua and Structures - Ted Belytschko, Wing Kam Liu, Brian Moran

Introduction. Lagrangian and Eulerian Finite Elements in One Dimension. Continuum Mechanics.

See MoreMeshes. Lagrangian Constitutive Models

The Wiley Advantage Solution Methods and Stability. For both the user and developer of nonlinear finite element programs, an understanding of the fundamental Arbitrary Lagrangian Eulerian Formulations. concepts of the subject is essential. This book provides a comprehensive description of the major methodologies of nonlinear finite element analysis for solid mechanics and also offers an in-depth treatment of Lagrangian, Element Technology. Eularian, and arbitrary Lagrangian Eulerian methods of continua. Presents a comprehensive description of nonlinear finite elements. Beams and Shells. Contains information (Arbitrary Eulerian Lagrangian Formulation) never before published. Authors are experts in the field. Contact-Impact. Explains solution methodologies, with an emphasis on basic concepts, such as stability, smoothness, and regularization. Appendix 1: Voigt Notation. Appendix 2: Norms.

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Appendix 3: Element Shape Functions. Glossary. References. Index.

Nonlinear Finite Elements for Continua and Structures, 2nd Edition by Ted Belytschko, Wing Kam Liu, Brian Moran, Khalil Elkhodary

A First Course in Finite Elements by Jacob Fish, Ted Belytschko

Nano Mechanics and Materials: Theory, Multiscale Methods and Applications by Wing Kam Liu, Eduard G. Karpov, Harold S. Park

Dynamical Systems Method and Applications: Theoretical Developments and Numerical Examples by Alexander G. Ramm, Nguyen S. Hoang

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