Extended Finite Element Method for Crack Propagation

Inbunden, Engelska, 2011

Av Sylvie Pommier, Anthony Gravouil, Nicolas Moes, Alain Combescure, France) Pommier, Sylvie (ENS-Cachan, France) Gravouil, Anthony (INSA de Lyon, France) Combescure, Alain (INSA de Lyon, France) Moes, Nicolas (Ecole Centrale de Nantes

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Novel techniques for modeling 3D cracks and their evolution in solids are presented. Cracks are modeled in terms of signed distance functions (level sets). Stress, strain and displacement field are determined using the extended finite elements method (X-FEM). Non-linear constitutive behavior for the crack tip region are developed within this framework to account for non-linear effect in crack propagation. Applications for static or dynamics case are provided.

Produktinformation

Utgivningsdatum2011-01-14
Mått163 x 241 x 21 mm
Vikt562 g
FormatInbunden
SpråkEngelska
Antal sidor254
FörlagISTE Ltd and John Wiley & Sons Inc
ISBN9781848212091

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Maskinteknik och material inom Naturvetenskap och teknik

Foreword xiAcknowledgements xiiiList of Symbols xvIntroduction xviiChapter 1. Elementary Concepts of Fracture Mechanics 11.1. Introduction 11.2. Superposition principle 31.3. Modes of crack straining 41.4. Singular fields at cracking point 51.5. Crack propagation criteria 10Chapter 2. Representation of Fixed and Moving Discontinuities 212.1. Geometric representation of a crack: a scale problem 222.2. Crack representation by level sets 292.3. Simulation of the geometric propagation of a crack 522.4. Prospects of the geometric representation of cracks 66Chapter 3. Extended Finite Element Method X-FEM 693.1. Introduction 693.2. Going back to discretization methods 703.3. X-FEM discontinuity modeling 793.4. Technical and mathematical aspects 943.5. Evaluation of the stress intensity factors 98Chapter 4. Non-linear Problems, Crack Growth by Fatigue 1094.1. Introduction 1094.2. Fatigue and non-linear fracture mechanics 1144.3. eXtended constitutive law 1374.4. Applications 164Chapter 5. Applications: Numerical Simulation of Crack Growth 1735.1. Energy conservation: an essential ingredient 1735.2. Examples of crack growth by fatigue simulations 1825.3. Dynamic fracture simulation 1925.4. Simulation of ductile fracture 207Conclusions and Open Problems 227Summary 233Bibliography 235Index 253