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Chapter 1 Introduction.

1.1 Composite structures.

1.2 Failure of composites.

1.3 Crack analysis.

1.4 Analytical solutions for composites.

1.5 Numerical techniques.

1.6 Scope of the book.

Chapter 2 Fracture Mechanics, a Review.

2.1 Introduction.

2.2 Basics of elasticity.

2.3 Basics of LEFM.

2.4 stress intensity factor.

2.5 Classical solution procedures for K and G.

2.6 Quarter point singular elements.

2.7 J integral.

2.8 Elastoplastic fracture mechanics (EPFM).

Chapter 3 Extended Finite Element Method.

3.1 Introduction.

3.2 Historic development of XFEM.

3.3 Enriched approximations.

3.4 XFEM formulation.

3.5 XFEM strong discontinuity enrichments.

3.6 XFEM weak discontinuity enrichments.

3.7 XFEM crack tip enrichments.

3.8 Transition from standard to enriched approximation.

3.9 Tracking moving boundaries.

3.10 Numerical simulations.

Chapter 4 Static Fracture Analysis of Composites.

4.1 Introduction.

4.2 Anisotropic elasticity.

4.3 Analytical solutions for near crack tip.

4.4 Orthotropic mixed mode fracture.

4.5 Anisotropic XFEM.

4.6 Numerical simulations.

Chapter 5 Dynamic Fracture Analysis of Composites.

5.1 Introduction.

5.2 Analytical solutions for near crack tips in dynamic states.

5.3 Dynamic stress intensity factors.

5.4 Dynamic XFEM.

5.5 Numerical simulations.

Chapter 6 Fracture Analysis of Functionally Graded Materials.

6.1 Introduction.

6.2 Analytical solution for near crack tip.

6.3 Stress intensity factor.

6.4 Crack propagation in FGM composites.

6.5 Inhomogeneous XFEM.

6.6 Numerical examples.

Chapter 7 Delamination/Interlaminar Crack Analysis.

7.1 Introduction.

7.2 Fracture mechanics for bimaterial interface cracks.

7.3 Stress intensity factors for interlaminar cracks.

7.4 Delamination propagation.

7.5 Bimaterial XFEM.

7.6 Numerical examples.

Chapter 8 New Orthotropic Frontiers.

8.1 Introduction.

8.2 Orthotropic XIGA.

8.3 Orthotropic dislocation dynamics.

8.4 Other anisotropic applications.


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