Introduction to the explicit finite element method for nonlinear transient dynamics için kapak resmi
Başlık:
Introduction to the explicit finite element method for nonlinear transient dynamics
Dil:
English
ISBN:
9781118382011

9781118382097

9781118382073
Yayın Bilgileri:
Hoboken, N.J. :

Wiley,

[2012]

©2012
Fiziksel Tanımlama:
1 online resource (xvi, 335 pages) : illustrations
İçerik:
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.
Özet:
"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.
Ek Yazar:
Elektronik Erişim:
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Özet

Özet

A systematic introduction to the theories and formulations ofthe explicit finite element method

As numerical technology continues to grow and evolve withindustrial applications, understanding the explicit finite elementmethod has become increasingly important, particularly in the areasof crashworthiness, metal forming, and impact engineering. Introduction to the Explicit Finite Element Method forNonlinear Transient Dynamics is the first book to addressspecifically what is now accepted as the most successful numericaltool for nonlinear transient dynamics. The book aids readers inmastering the explicit finite element method and programming codewithout requiring extensive background knowledge of the generalfinite element.

The authors present topics relating to the variationalprinciple, numerical procedure, mechanical formulation, andfundamental achievements of the convergence theory. In addition,key topics and techniques are provided in four clearly organizedsections:

* Fundamentals explores a framework of the explicitfinite element method for nonlinear transient dynamics andhighlights achievements related to the convergence theory

* Element Technology discusses four-node,three-node, eight-node, and two-node element theories

* Material Models outlines models of plasticity andother nonlinear materials as well as the mechanics model of ductiledamage

* Contact and Constraint Conditions covers subjectsrelated to three-dimensional surface contact, with examples solvedanalytically, as well as discussions on kinematic constraintconditions

Throughout the book, vivid figures illustrate the ideas and keyfeatures of the explicit finite element method. Examples clearlypresent results, featuring both theoretical assessments andindustrial applications.

Introduction to the Explicit Finite Element Method forNonlinear Transient Dynamics is an ideal book for bothengineers who require more theoretical discussions and fortheoreticians searching for interesting and challenging researchtopics. The book also serves as an excellent resource for courseson applied mathematics, applied mechanics, and numerical methods atthe graduate level.


Yazar Notları

SHEN R. WU, PhD, has teaching and research interest inshell theory, the finite element method, the variational principle,and contact problems. In addition, he has extensive experience inthe explicit finite element method, including the convergencetheory, the diagonal mass matrix, the Reisner-Mindlin element,contact algorithms, material models, software development, and itsapplications.

LEI GU, PhD, has teaching and research interest infracture mechanics, the finite element method, the mesh-freemethod, the optimization method, with extensive experience in theexplicit finite element method such as software development, thediagonal mass matrix, robustness analysis, and its practicalapplications.