Extended Finite Element Method for Crack Propagation

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.Content:
Chapter 1 Elementary Concepts of Fracture Mechanics (pages 1–20): Sylvie Pommier, Anthony Gravouil, Alain Combescure and Nicolas Moes
Chapter 2 Representation of Fixed and Moving Discontinuities (pages 21–68): Sylvie Pommier, Anthony Gravouil, Alain Combescure and Nicolas Moes
Chapter 3 Extended Finite Element Method X?FEM (pages 69–108): Sylvie Pommier, Anthony Gravouil, Alain Combescure and Nicolas Moes
Chapter 4 Non?linear Problems, Crack Growth by Fatigue (pages 109–172): Sylvie Pommier, Anthony Gravouil, Alain Combescure and Nicolas Moes
Chapter 5 Applications (pages 173–226): Sylvie Pommier, Anthony Gravouil, Alain Combescure and Nicolas Moes