UID:
kobvindex_HPB891397205
Umfang:
1 online resource (233 pages) :
,
illustrations, tables
ISBN:
9783862194377
,
386219437X
Serie:
Schriftenreihe Fachgebiet Baumechanik/Baudynamik ; 3
Anmerkung:
""Front cover ""; ""Reihentitel ""; ""Titelseite ""; ""Impressum ""; ""Contents""; ""List of Figures""; ""List of Tables""; ""Nomenclature""; ""Acknowledgments""; ""Chapter 1 Introduction ""; ""1.1 Motivation""; ""1.2 State of the Art""; ""1.3 Aim of the Work""; ""1.4 Outline""; ""Chapter 2 Basic Concepts of Static Linear Elastic Fracture Mechanics ""; ""2.1 Reference Problem ""; ""2.2 Asymptotic Solution""; ""2.3 SIFs for a Kinked Crack""; ""2.4 SIFs for a Symmetrically Branched Crack""; ""2.5 GRIFFITH�s Energy BalanceIn""; ""2.6 Relationship Between the SIFs and the Energy Release Rate ""
,
""2.7 The J-Integral""""2.8 ESHELBY Tensor""; ""2.9 Extraction of the SIFs""; ""2.10 Extraction of the T-Stress""; ""2.11 Fracture Criteria Based on LEFM""; ""2.11.1 Maximum Circumferential Stress Criterion""; ""2.11.2 Minimum Strain Energy Density Criterion""; ""2.11.3 Maximum Energy Release Rate Criterion""; ""2.11.4 Local Symmetry Criterion, LS.""; ""Chapter 3 Basic Concepts of Dynamic Linear Elastic Fracture Mechanics ""; ""3.1 Reference Problem""; ""3.2 Elastic Waves""; ""3.2.1 Body Waves""; ""3.2.2 LAMÃ? Representation""; ""3.2.3 Two-Dimensional Problems""; ""3.2.4 Surface Waves""
,
3.3 Stationary Cracks3.3.1 Asymptotic Solution -- 3.3.2 Some Basic Solutions -- 3.4 Moving Cracks -- 3.4.1 Steady Dynamic Crack Growth -- 3.4.2 Nonsteady Crack Growth -- 3.4.3 Dynamic Stress Intensity Factors for Moving Cracks -- 3.5 Energy Balance -- 3.6 Extraction of the Dynamic SIFs -- 3.7 Dynamic Fracture Criteria -- 3.7.1 Crack Initiation -- 3.7.2 Crack Growth -- 3.7.3 Crack Arrest -- 3.8 Maximum Circumferential Stress Criterion -- 3.9 Minimum Strain Energy Density Criterion -- 3.10 GRIFFITH Energy Criterion and Principle of Local Symmetry
,
3.10.1 Crack Kinking3.10.2 Crack Branching -- Chapter 4 XFEM for Crack Modelling -- 4.1 Weak Form -- 4.2 Finite Element Method -- 4.2.1 Partition of Unity -- 4.2.2 Finite Element Approximation -- 4.2.3 Standard Error Estimator -- 4.2.4 Error Estimator in the Presence of Singularities -- 4.2.5 Shape Functions -- 4.3 Extended Finite Element Method XFEM -- 4.3.1 Discontinuous Enrichment -- 4.3.2 HANSBO & HANSBO Approach -- 4.3.3 Near-Tip Enrichment -- 4.3.4 Intersection Enrichment -- 4.3.5 Branching Enrichment -- 4.3.6 High Order Elements
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4.3.7 Near-Tip Enrichment on a Fixed Area4.3.8 DOF Gathering -- 4.3.9 Cut-off Function -- 4.4 Numerical Aspects -- 4.4.1 Numerical Integration -- 4.4.2 Node Selection for Enrichment in Order to Avoid Linear Dependency -- 4.4.3 Transformation for a kinked crack -- 4.4.4 Determination of the q-field -- 4.5 Examples -- 4.5.1 Plate Under Uniaxial Tension -- 4.5.2 Crack Propagation in a T-Beam -- 4.5.3 Convergence Analysis -- 4.5.4 Kinked Crack -- Chapter 5 Dynamic Fracture -- 5.1 Weak Form of the Initial Boundary Value Problem
Weitere Ausg.:
Print version: Wagner. Static and dynamic crack propagation in brittle materials with XFEM. Kassel, Germany : kassel university press, ©2013 ISBN 9783862194360
Sprache:
Englisch
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