This book describes the basics and developments of the new XFEM approach to fracture analysis of composite structures and materials. It provides state of the art techniques and algorithms for fracture analysis of structures including numeric examples at the end of each chapter as well as an accompanying website which will include MATLAB resources, executables, data files, and simulation procedures of XFEM. The first reference text for the extended finite element method (XFEM) for fracture analysis of structures and materials Includes theory and applications, with worked numerical problems…mehr
This book describes the basics and developments of the new XFEM approach to fracture analysis of composite structures and materials. It provides state of the art techniques and algorithms for fracture analysis of structures including numeric examples at the end of each chapter as well as an accompanying website which will include MATLAB resources, executables, data files, and simulation procedures of XFEM.
The first reference text for the extended finite element method (XFEM) for fracture analysis of structures and materials Includes theory and applications, with worked numerical problems and solutions, and MATLAB examples on an accompanying website with further XFEM resources Provides a comprehensive overview of this new area of research, including a review of Fracture Mechanics, basic through to advanced XFEM theory, as well as current problems and applications Includes a chapter on the future developments in the field, new research areas and possible future applications of the method
Soheil Mohammadi, Associate Professor, School of Civil Engineering, University of Tehran, Tehran, IRAN Soheil Mohammdi studied for his PhD at the University of Wales Swansea and is now a lecturer at the University of Tehran where his academic career began. He teaches PhD courses in contact mechanics, mesh generation and adaptivity, meshless methods, and impact and explosive loadings on structures. He research interests are based in computational mechanics and finite element analysis, and XFEM. He has published many papers in these areas as well as a book on discontinuum mechanics in 2003.
Inhaltsangabe
Preface xiii Nomenclature xvii 1 Introduction 1 1.1 Composite Structures 1 1.2 Failures of Composites 2 1.3 Crack Analysis 3 1.4 Analytical Solutions for Composites 6 1.5 Numerical Techniques 8 1.6 Scope of the Book 13 2 Fracture Mechanics, A Review 17 2.1 Introduction 17 2.2 Basics of Elasticity 20 2.3 Basics of LEFM 23 2.4 Stress Intensity Factor, K 30 2.5 Classical Solution Procedures for K and G 41 2.6 Quarter Point Singular Elements 44 2.7 J Integral 47 2.8 Elastoplastic Fracture Mechanics (EPFM) 51 3 Extended Finite Element Method 57 3.1 Introduction 57 3.2 Historic Development of XFEM 58 3.3 Enriched Approximations 62 3.4 XFEM Formulation 67 3.5 XFEM Strong Discontinuity Enrichments 79 3.6 XFEM Weak Discontinuity Enrichments 86 3.7 XFEM Crack-Tip Enrichments 87 3.8 Transition from Standard to Enriched Approximation 99 3.9 Tracking Moving Boundaries 103 3.10 Numerical Simulations 107 4 Static Fracture Analysis of Composites 131 4.1 Introduction 131 4.2 Anisotropic Elasticity 134 4.3 Analytical Solutions for Near Crack Tip 137 4.4 Orthotropic Mixed Mode Fracture 142 4.5 Anisotropic XFEM 149 4.6 Numerical Simulations 152 5 Dynamic Fracture Analysis of Composites 169 5.1 Introduction 169 5.2 Analytical Solutions for Near Crack Tips in Dynamic States 173 5.3 Dynamic Stress Intensity Factors 178 5.4 Dynamic XFEM 185 5.5 Numerical Simulations 195 6 Fracture Analysis of Functionally Graded Materials (FGMs) 225 6.1 Introduction 225 6.2 Analytical Solution for Near a Crack Tip 227 6.3 Stress Intensity Factor 235 6.4 Crack Propagation in FGM Composites 240 6.5 Inhomogeneous XFEM 241 6.6 Numerical Examples 244 7 Delamination/Interlaminar Crack Analysis 261 7.1 Introduction 261 7.2 Fracture Mechanics for Bimaterial Interface Cracks 264 7.3 Stress Intensity Factors for Interlaminar Cracks 271 7.4 Delamination Propagation 273 7.5 Bimaterial XFEM 275 7.6 Numerical Examples 280 8 New Orthotropic Frontiers 303 8.1 Introduction 303 8.2 Orthotropic XIGA 303 8.3 Orthotropic Dislocation Dynamics 321 8.4 Other Anisotropic Applications 333 References 339 Index 363
