本书包含了作者近20年在非均匀材料断裂力学领域的重要研究成果。这些工作主要针对国际非均匀材料断裂力学领域理论模型的不足以及复杂界面条件下断裂力学领域能量积分理论的理论空白开展了系统、深入的研究，从基础理论到仿真方法提出了有特色的研究思想。具体工作包括：非均匀材料的断裂力学基本理论、非均匀材料的传统特殊指数型模型、具有一般属性的非均匀材料断裂力学模型、含复杂界面非均匀材料的区域无关积分方法、考虑界面残余应力的一般性区域无关积分模型等内容。这些工作，克服了一般属性非均匀材料（梯度材料）的断裂力学难题，澄清了近30年来人们对传统指数模型的质疑，拓展并完善了非均质材料断裂力学的理论体系。

Preface
Chapter 1 Fundamental theory of fracture mechanics of nonhomogeneous materials
1.1 Internal crack
1.1.1 Basic equations for nonhomogeneous materials
1.1.2 Crack-tip fields for homogeneous materials
1.1.3 Crack-tip fields for nonhomogeneous materials
1.1.4 Crack-tip fields for nonhornogeneous orthotropic materials
1.2 Interface crack
1.2.1 Crack-tip fields of an interface crack
1.2.2 Crack-tip fields of an interface crack between two nonhomogeneous media
1.3 Three-dimensional curved crack
1.3.1 Internal crack
1.3.2 Interface crack
References
Chapter 2 Exponential models for crack problems in nonhomogeneous materials
2.1 Crack model for nonhomogeneous materials with an arbitrarily oriented crack
2.1.1 Basic equations and boundary conditions
2.1.2 Full field solution for a crack in the nonhomogeneous medium
2.1.3 Stress intensity factors (SIFs) and strain energy release rate (SERR)
2.2 Crack problems in nonhomogeneous coating-substrate or double-layered structures
2.2.1 Interface crack in nonhomogeneous eoating-substrate structures
2.2.2 Cross -interface crack parallel to the gradient of material properties
2.2.3 Arbitrarily oriented crack in a double-layered structure
2.3 Crack problems in orthotropic non_homogeneous materials
2.3.1 Basic equations and boundary conditions
2.3.2 Solutions to stress and displacement fields
2.3.3 Crack-tip SIFs
2.4 Transient crack problem of a coating-substrate structure
2.4.1 Basic equations and boundary conditions
2.4.2 Solutions to stress and displacement fields
2.4.3 Crack-tip SIFs
2.5 Representative examples
2.5.1 Example 1: Arbitrarily oriented crack in an infinite nonhomogeneous medium
2.5.2 Example 2: Interface crack between the coating and the substrate
2.5.3 Example 3: Crossing-interface crack perpendicular to the interface in a double-layered structure
2.5.4 Example 4: Inclined crack crossing the interface
2.5.5 Example 5: Vertical crack in a nonhomogeneous coating-substrate structure subjected to impact loading
Appendix 2A
References
Chapter 3 General model for nonhomogeneous materials with general elastic properties
3.1 Piecewise-exponential model for the mode I crack problem
Chapter 4 Fracture mechanics of nonhomogeneous materials based on piecewise-exponential model
Chapter 5 Fracture of nonhomogeneous materials with complex interfaces
Chapter 6 Interfacial fracture of nonhomogeneous materials with complex interfaces
Chapter 7 Thermal fracture of nonhomogeneous materials with complex interfaces