Finite Element Method (FEM)

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Table of contents

1 Fracture propagation in TI media 
1.1 Phenomenology and observation
1.1.1 The inuence of transverse isotropy
1.1.2 Hydromechanical couplings
1.2 Theoretical aspects
1.2.1 Generalized Grith-Irwin theory
1.2.2 Calculating SIF using J-integral
1.2.3 Bifurcation angle
1.2.4 Cohesive Zone Model{CZM
1.3 Numerical modeling
1.3.1 Continuum{based methods
1.3.2 Discontinuum{based methods
1.4 Conclusion
2 A fully coupled 3D HM-XFEM model for transverse isotropic media 
2.1 Introduction
2.2 HM-XFEM model representation
2.2.1 Domain denition and hypotheses
2.2.2 Governing equations
2.2.3 Variational formulations of conservation equations
2.2.4 Discretization with XFEM
2.2.5 Crack propagation along non-predened paths in TI medium
2.2.6 Numerical implementation
2.3 Validation of the HM-XFEM model
2.3.1 Properties and geometry of the medium and boundary conditions
2.3.2 Numerical results
2.4 Conclusion
3 Modeling fracture propagation in TI media using the BPM 
3.1 A BPM for TI materials
3.1.1 Formulation
3.1.2 Introduction of TI
3.2 Calibration of the model
3.2.1 Reference behaviors
3.3 Fracture propagation
3.3.1 Homogeneous/isotropic material
3.3.2 TI medium
3.4 Conclusion
4 Conclusion 
References