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
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