Nonlinear finite elements for continua and structures

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Nonlinear finite elements for continua and structures

Ted Belytschko, Wing Kam Liu, Brian Moran

John Wiley, c2000

  • : cloth
  • : paper

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Note

Includes bibliographical references (p. [631]-639) and index

Description and Table of Contents

Volume

: cloth ISBN 9780471987734

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
  • Introduction
  • Lagrangian and Eulerian Finite Elements in One Dimension
  • Continuum Mechanics
  • Lagrangian Meshes
  • Constitutive Models
  • Solution Methods and Stability
  • Arbitrary Lagrangian Eulerian Formulations
  • Element Technology
  • Beams and Shells
  • Contact-Impact
  • Appendix 1 - Voigt Notation
  • Appendix 2 - Norms
  • Appendix 3 - Element Shape Functions
  • Glossary
  • References
  • Index
Volume

: paper ISBN 9780471987741

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: 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.

Table of Contents

Preface. List of Boxes. Introduction. Lagrangian and Eulerian Finite Elements in One Dimension. Continuum Mechanics. Lagrangian Meshes. Constitutive Models Solution Methods and Stability. Arbitrary Lagrangian Eulerian Formulations. Element Technology. Beams and Shells. Contact--Impact. Appendix 1: Voigt Notation. Appendix 2: Norms. Appendix 3: Element Shape Functions. Glossary. References. Index.

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