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Introduction to the explicit finite element method for nonlinear transient dynamics / [electronic resource]

by Wu, Shen R; Gu, Lei.
Material type: materialTypeLabelBookPublisher: Hoboken, N.J. : Wiley, ©2012Description: 1 online resource (xvi, 335 pages) : illustrations.ISBN: 9781118382011; 1118382013; 9781118382097; 1118382099; 9781118382073; 1118382072.Subject(s): Finite element method | Numerical analysis | MATHEMATICS -- Mathematical Analysis | MATHEMATICS -- Numerical Analysis | Finite element method | Numerical analysis | Finite-Elemente-Methode | Galerkin-Methode | Transienter Zustand | Materialgleichung | Electronic booksOnline resources: Wiley Online Library
Contents:
Part I. Fundamentals: 1. Introduction; 2. Framework of explicit finite element method for nonlinear transient dynamics -- Part II. Element Technology: 3. Four-node shell element (Reissner-Mindlin Plate theory); 4. Three-node shell element (Reissner-Mindlin Plate theory); 5. Eight-node solid element; 6. Two-node element -- Part III. Material Models: 7. Material model of plasticity; 8. Continuum mechanics model of ductile damage; 9. Models of nonlinear materials -- Part IV. Contact and Constraint Conditions: 10. Three-dimensional surface contact; 11. Numerical procedures for three-dimensional surface contact; 12. Kinematic constraint conditions.
Summary: "This is the first book to specifically address the explicit finite element method for nonlinear transient dynamics. This book aids readers in mastering the explicit finite element method as well as programming a code without extensively reading the more general finite element books. This book consists of 12 chapters within four sections including: the variation principles and formulation of the explicit finite element method for nonlinear transient dynamics; the finite element technology with 4-node and 3-node Reissner-Mindlin plate bending elements, the 8-node solid elements, etc.; plasticity and nonlinear material models; and contact algorithms and other kinematic constraint conditions. Each chapter contains a list of carefully chosen references intended to help readers to further explore the related subjects"-- Provided by publisher.
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Includes bibliographical references (pages 305-324) and index.

Part I. Fundamentals: 1. Introduction; 2. Framework of explicit finite element method for nonlinear transient dynamics -- Part II. Element Technology: 3. Four-node shell element (Reissner-Mindlin Plate theory); 4. Three-node shell element (Reissner-Mindlin Plate theory); 5. Eight-node solid element; 6. Two-node element -- Part III. Material Models: 7. Material model of plasticity; 8. Continuum mechanics model of ductile damage; 9. Models of nonlinear materials -- Part IV. Contact and Constraint Conditions: 10. Three-dimensional surface contact; 11. Numerical procedures for three-dimensional surface contact; 12. Kinematic constraint conditions.

"This is the first book to specifically address the explicit finite element method for nonlinear transient dynamics. This book aids readers in mastering the explicit finite element method as well as programming a code without extensively reading the more general finite element books. This book consists of 12 chapters within four sections including: the variation principles and formulation of the explicit finite element method for nonlinear transient dynamics; the finite element technology with 4-node and 3-node Reissner-Mindlin plate bending elements, the 8-node solid elements, etc.; plasticity and nonlinear material models; and contact algorithms and other kinematic constraint conditions. Each chapter contains a list of carefully chosen references intended to help readers to further explore the related subjects"-- Provided by publisher.

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