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Record Nr. |
UNINA9910830758003321 |
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Autore |
Mohammadi S (Soheil) |
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Titolo |
XFEM fracture analysis of composites [[electronic resource] /] / Soheil Mohammadi |
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Pubbl/distr/stampa |
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Chichester, West Sussex, United Kingdom, : John Wiley & Sons Inc., 2012 |
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ISBN |
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1-118-44338-1 |
1-283-59297-5 |
9786613905420 |
1-118-44337-3 |
1-118-44330-6 |
1-118-44331-4 |
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Descrizione fisica |
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1 online resource (401 p.) |
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Classificazione |
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Disciplina |
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Soggetti |
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Composite materials - Fracture |
Composite materials - Fatigue |
Fracture mechanics |
Finite element method |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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XFEM FRACTUREANALYSIS OFCOMPOSITES; Contents; Preface; Nomenclature; 1 Introduction; 1.1 Composite Structures; 1.2 Failures of Composites; 1.2.1 Matrix Cracking; 1.2.2 Delamination; 1.2.3 Fibre/Matrix Debonding; 1.2.4 Fibre Breakage; 1.2.5 Macro Models of Cracking in Composites; 1.3 Crack Analysis; 1.3.1 Local and Non-Local Formulations; 1.3.2 Theoretical Methods for Failure Analysis; 1.4 Analytical Solutions for Composites; 1.4.1 Continuum Models; 1.4.2 Fracture Mechanics of Composites; 1.5 Numerical Techniques; 1.5.1 Boundary Element Method; 1.5.2 Finite Element Method |
1.5.3 Adaptive Finite/Discrete Element Method1.5.4 Meshless Methods; 1.5.5 Extended Finite Element Method; 1.5.6 Extended Isogeometric Analysis; 1.5.7 Multiscale Analysis; 1.6 Scope of the Book; 2 Fracture Mechanics, A Review; 2.1 Introduction; 2.2 Basics of Elasticity; 2.2.1 Stress-Strain Relations; 2.2.2 Airy Stress Function; 2.2.3 Complex |
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Stress Functions; 2.3 Basics of LEFM; 2.3.1 Fracture Mechanics; 2.3.2 Infinite Tensile Plate with a Circular Hole; 2.3.3 Infinite Tensile Plate with an Elliptical Hole; 2.3.4 Westergaard Analysis of a Line Crack; 2.3.5 Williams Solution of a Wedge Corner |
2.4 Stress Intensity Factor, K2.4.1 Definition of the Stress Intensity Factor; 2.4.2 Examples of Stress Intensity Factors for LEFM; 2.4.3 Griffith Energy Theories; 2.4.4 Mixed Mode Crack Propagation; 2.5 Classical Solution Procedures for K and G; 2.5.1 Displacement Extrapolation/Correlation Method; 2.5.2 Mode I Energy Release Rate; 2.5.3 Mode I Stiffness Derivative/Virtual Crack Model; 2.5.4 Two Virtual Crack Extensions for Mixed Mode Cases; 2.5.5 Single Virtual Crack Extension Based on Displacement Decomposition; 2.6 Quarter Point Singular Elements; 2.7 J Integral; 2.7.1 Generalization of J |
2.7.2 Effect of Crack Surface Traction2.7.3 Effect of Body Force; 2.7.4 Equivalent Domain Integral (EDI) Method; 2.7.5 Interaction Integral Method; 2.8 Elastoplastic Fracture Mechanics (EPFM); 2.8.1 Plastic Zone; 2.8.2 Crack-Tip Opening Displacements (CTOD); 2.8.3 J Integral for EPFM; 3 Extended Finite Element Method; 3.1 Introduction; 3.2 Historic Development of XFEM; 3.2.1 A Review of XFEM Development; 3.2.2 A Review of XFEM Composite Analysis; 3.3 Enriched Approximations; 3.3.1 Partition of Unity; 3.3.2 Intrinsic and Extrinsic Enrichments; 3.3.3 Partition of Unity Finite Element Method |
3.3.4 MLS Enrichment3.3.5 Generalized Finite Element Method; 3.3.6 Extended Finite Element Method; 3.3.7 Generalized PU Enrichment; 3.4 XFEM Formulation; 3.4.1 Basic XFEM Approximation; 3.4.2 Signed Distance Function; 3.4.3 Modelling the Crack; 3.4.4 Governing Equation; 3.4.5 XFEM Discretization; 3.4.6 Evaluation of Derivatives of Enrichment Functions; 3.4.7 Selection of Nodes for Discontinuity Enrichment; 3.4.8 Numerical Integration; 3.5 XFEM Strong Discontinuity Enrichments; 3.5.1 A Modified FE Shape Function; 3.5.2 The Heaviside Function; 3.5.3 The Sign Function |
3.5.4 Strong Tangential Discontinuity |
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Sommario/riassunto |
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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 materialsIncludes theory and applications, with worked n |
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