Chapter 1 Introduction
1.1 Functionally graded materials
1.2 Methods for fracture mechanics
1.2.1 General
1.2.2 Analytical methods
1.2.3 Finite element method
1.2.4 Boundary element method
1.2.5 Meshless methods
1.3 Overview of the book
References
Chapter 2 Fundamentals of Elasticity and Fracture Mechanics
2.1 Introduction
2.2 Basic equations of elasticity
2.3 Fracture mechanics
2.3.1 General
2.3.2 Deformation modes of cracked bodies
2.3.3 Three-dimensional stress and displacement fields
2.3.4 Stress fields of cracks in graded materials and on the interface of bi-materials
2.4 Analysis of crack growth
2.4.1 General
2.4.2 Energy release rate
2.4.3 Maximum principal stress criterion
2.4.4 Minimum strain energy density criterion
2.4.5 The fracture toughness of graded materials
2.5 Summary
References
Chapter 3 Yue's Solution of a 3D Multilayered Elastic Medium
3.1 Introduction
3.2 Basic equations
3.3 Solution in the transform domain
3.3.1 Solution formulation
3.3.2 Solution expressed in terms ofg
3.3.3 Asymptotic representation of the solution matrices φ(p,z) and ψ(p,z)
3.4 Solution in the physical domain
3.4.1 Solutions in the Cartesian coordinate system
3.4.2 Closed-form results for singular terms of the solution
3.5 Computational methods and numerical evaluation
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