Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté. Image fixe : électronique + Texte noté : électronique
Auteur(s) : Zhuang, Zhuo
Liu, Zhanli
Cheng, Binbin
Liao, Jianhui
Titre(s) : Extended finite element method [Texte électronique] / Zhuo Zhuang, Zhanli Liu, Binbin Cheng, and Jianhui Liao, Tsinghua University, Beijing
Édition : 1st. edition
Publication : Amsterdam : Elsevier ; Oxford, UK : Academic Press, cop. 2014
Description matérielle : 1 ressource dématérialisée
Collection : Elsevier and Tsinghua University Press computational mechanics series
Note(s) : Includes bibliographical references and index
Sujet(s) : Éléments finis, Méthode des
Indice(s) Dewey :
518.25 (23e éd.) = Analyse des éléments finis
Identifiants, prix et caractéristiques : ISBN 9780124077171
Identifiant de la notice : ark:/12148/cb44635945b
Notice n° :
FRBNF44635945
(notice reprise d'un réservoir extérieur)
Table des matières : Machine generated contents note: 1.1. Significance of Studying Computational Fracture
Mechanics ; 1.2. Introduction to X-FEM ; 1.3. Research Status and Development of
X-FEM ; 1.3.1. The Development of X-FEM Theory ; 1.3.2. Development of 3D X-FEM
; 1.4.Organization of this Book ; 2.1. Introduction ; 2.2. Two-Dimensional Linear
Elastic Fracture Mechanics ; 2.3. Material Fracture Toughness ; 2.4. Fracture Criterion
of Linear Elastic Material ; 2.5.Complex Fracture Criterion ; 2.5.1. Maximum Circumference
Tension Stress Intensity Factor Theory ; 2.5.2. Minimum Strain Energy Density Stress
Intensity Factor Theory ; 2.5.3. Maximum Energy Release Rate Theory ; 2.6. Interaction
Integral ; 2.7. Summary ; 3.1. Introduction to Dynamic Fracture Mechanics ; 3.2.
Linear Elastic Dynamic Fracture Theory ; 3.2.1. Dynamic Stress Field at Crack Tip
Position ; 3.2.2. Dynamic Stress Intensity Factor ; 3.2.3. Dynamic Crack Propagating
Condition and Velocity ; 3.3. Crack Driving Forc
Contents note continued: 3.3.1. Solution Based on Nodal Force Release ; 3.3.2. Solution
Based on Energy Balance ; 3.4. Crack Propagation in Steady State ; 3.5. Engineering
Applications of Dynamic Fracture Mechanics ; 3.6. Summary ; 4.1.X-FEM Based on the
Partition of Unity ; 4.2. Level Set Method ; 4.3. Enriched Shape Function ; 4.3.1.
Description of a Strong Discontinuity Surface ; 4.3.2. Description of a Weak Discontinuity
Surface ; 4.4. Governing Equation and Weak Form ; 4.5. Integration on Spatial Discontinuity
Field ; 4.6. Time Integration and Lumped Mass Matrix ; 4.7. Postprocessing Demonstration
; 4.8. One-Dimensional X-FEM ; 4.8.1. Enriched Displacement ; 4.8.2. Mass Matrix
; 4.9. Summary ; 5.1. Numerical Study and Precision Analysis of X-FEM ; 5.1.1.A
Half Static Crack in a Finite Plate ; 5.1.2.A Beam with Stationary Crack under Dynamic
Loading ; 5.1.3. Simulation of Complex Crack Propagation ; 5.1.4. Simulation of
the Interface.
Contents note continued: 5.1.5. Interaction Between Crack and Holes ; 5.1.6. Interfacial
Crack Growth in Bimaterials ; 5.2. Two-Dimensional High-Order X-FEM ; 5.2.1. Spectral
Element-Based X-FEM ; 5.2.2. Mixed-Mode Static Crack ; 5.2.3. Kalthoff's Experiment
; 5.2.4. Mode I Moving Crack ; 5.3. Crack Branching Simulation ; 5.3.1. Crack Branching
Enrichment ; 5.3.2. Branch Criteria ; 5.3.3. Numerical Examples ; 5.4. Summary
; 6.1. Introduction ; 6.2. Overview of Plate and Shell Fracture Mechanics ; 6.2.1.
Kirchhoff Plate and Shell Bending Fracture Theory ; 6.2.2. Reissner Plate and Shell
Bending Fracture Theory ; 6.3. Plate and Shell Theory Applied In Finite Element Analysis
; 6.4. Brief Introduction to General Shell Elements ; 6.4.1. Belytschko-Lin-Tsay
Shell Element ; 6.4.2. Continuum-Based Shell Element ; 6.5.X-FEM on CB Shell Elements
; 6.5.1. Shape Function of a Crack Perpendicular to the Mid-Surface ; 6.5.2. Shape
Function of a Crack Not Perpendicular to th
Contents note continued: 6.5.3. Total Lagrangian Formulation ; 6.5.4. Time Integration
Scheme and Linearization ; 6.5.5. Continuum Element Transformed to Shell ; 6.6.
Crack Propagation Criterion ; 6.6.1. Stress Intensity Factor Computation ; 6.6.2.
Maximum Energy Release Rate Criterion ; 6.7. Numerical Examples ; 6.7.1. Mode I
Central Through-Crack in a Finite Plate ; 6.7.2. Mode III Crack Growth in a Plate
; 6.7.3. Steady Crack in a Bending Pipe ; 6.7.4. Crack Propagation Along a Given
Path in a Pipe ; 6.7.5. Arbitrary Crack Growth in a Pipe ; 6.8. Summary ; 7.1.
Introduction ; 7.2. Theoretical Solutions of Subinterfacial Fracture ; 7.2.1.Complex
Variable Function Solution for Sub- interfacial Cracks ; 7.2.2. Solution Considering
the Crack Surface Affected Area ; 7.2.3. Analytical Solution of a Finite Dimension
Structure ; 7.3. Simulation of Subinterfacial Cracks Based On X-FEM ; 7.3.1. Experiments
on Subinterfacial Crack Growth.
Contents note continued: 7.3.2.X-FEM Simulation of Subinterfacial Crack Growth ; 7.4.
Equilibrium State of Subinterfacial Mode I Cracks ; 7.4.1. Effect on Fracture Mixed
Level by Crack Initial Position ; 7.4.2. Effect on Material Inhomogeneity and Load
Asymmetry ; 7.5. Effect on Subinterfacial Crack Growth from a Tilted Interface ;
7.6. Summary ; 8.1. Introduction ; 8.2. Level Set Method for Composite Materials
; 8.2.1. Level Set Representation ; 8.2.2. Enrichment Function ; 8.2.3. Lumped
Mass Matrix ; 8.3. Microstructure Generation ; 8.4. Material Constitutive Model
; 8.5. Numerical Examples ; 8.5.1. Static Analysis ; 8.5.2. Dynamic Analysis ;
8.6. Summary ; 9.1. Governing Equations and Interfacial Conditions ; 9.2. Interfacial
Description of Two-Phase Flows ; 9.3.X-FEM and Unknown Parameters Discretization
; 9.4. Discretization of Governing Equations ; 9.5. Numerical Integral Method ;
9.6. Examples and Analyses ; 9.7. Summary.
Contents note continued: 10.1. Research on Micro-Scale Crystal Plasticity ; 10.1.1.
Discrete Dislocation Plasticity Modeling ; 10.1.2.X-FEM Simulation of Dislocations
; 10.2. Application of Multi-Scale Simulation ; 10.3. Modeling of Deformation Localization
; 10.4. Summary.
