Discontinuum Mechanics: Using Finite and Discrete Elements

Discontinuum Mechanics: Using Finite and Discrete Elements

by Soheil Mohammadi
     
 

Designed mainly for postgraduate students and researchers, this volume introduces the mathematical and computational concepts of contact mechanics which are increasingly used in this sometimes difficult field and highlights the main problems encountered when dealing with the highly complex phenomena of discontinuum mechanics. See more details below

Overview

Designed mainly for postgraduate students and researchers, this volume introduces the mathematical and computational concepts of contact mechanics which are increasingly used in this sometimes difficult field and highlights the main problems encountered when dealing with the highly complex phenomena of discontinuum mechanics.

Product Details

ISBN-13:
9781853129599
Publisher:
WIT Press
Publication date:
01/01/2003
Edition description:
with CD-ROM
Product dimensions:
6.10(w) x 9.10(h) x 1.00(d)

Meet the Author

Table of Contents

Ch. 1Introduction1
1.1Discontinuum Mechanics, Why?1
1.2Alternative Approaches6
1.3Scope of the Book8
1.4Notations9
Ch. 2Discontinuum Mechanics - A Review11
2.1Geomechanical Applications12
2.2Granular Materials20
2.3Impact Analysis (Progressive Fracturing)21
2.4Particulate Flow32
2.5Other Applications34
Ch. 3Constraint Enforcing Methods35
3.1Introduction35
3.2Definition of a Constraint35
3.3Constraint Enforcement40
3.4Variational Forms56
3.5The Penalty Method58
Ch. 4Nonlinear FE Discretization69
4.1Introduction69
4.2Large Deformation Kinematics69
4.3Initial/Boundary Value Problem80
4.4Finite Element Discretization85
4.5Explicit Time Integration87
Ch. 5Normal Contact93
5.1Introduction93
5.2Hydrocode Formulation94
5.3DYNA Penalty Formulation104
5.42D Node to Edge Penalty Contact108
5.5Edge to Edge Contact118
Ch. 6Frictional Contact121
6.1Introduction121
6.2Frictional Contact - The Basics121
6.32D Frictional Contact Models Without Hardening135
6.43D Frictional Contact Models Without Hardening147
6.53D Frictional Contact Models With Frictional Hardening155
6.6Node to Face Frictional Contact Models166
Ch. 7Discontinuum Contact Mechanics181
7.1Introduction181
7.2Contact Detection185
7.3Object Representation221
Ch. 8Remeshing Techniques245
8.1Introduction245
8.2Mesh Dependency246
8.3Fracture Mechanics247
8.4Strain Softening Models249
8.5Damage Mechanics253
8.6Anisotropic Material Models258
8.7Localization and Crack Direction267
8.8Remeshing Algorithm276
App. AUTDem code279

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