Cracks in composite materials

1 Cracks in materials possessing homogeneous anisotropy.- 1.1 Introduction.- 1.2 Anisotropic elasticity.- 1.3 Plane and anti-plane problems of cracks in anisotropic materials.- 1.4 Penny-shaped crack in transversely isotropic bodies of infinite extent.- 1.5 A finite width orthotropic body with a central crack.- 1.6 Through crack in an orthotropic layer of finite height.- 1.7 Transversely isotropic cylinder containing a penny-shaped crack.- 1.8 Transversely isotropic layer containing a penny-shaped crack.- 1.9 Bending of anisotropic plates with cracks.- 1.10 Generalized plane deformation of aniostropic materials with cracks.- 1.11 Concluding remarks.- 1.12 Appendix: Method of solution for solving dual integral equations.- References.- 2 Nonhomogeneous materials with cracks.- 2.1 Introduction.- 2.2 Shear modulus varying a direction normal to the plane crack.- 2.3 Interaction of axial inhomogeneity with a penny-shaped crack.- 2.4 Appendix: Stress field and coefficient for a plane crack in nonhomogeneous solid.- References.- 3 Interface cracks in bimaterial systems.- 3.1 Introduction.- 3.2 Straight line cracks between two dissimilar media.- 3.3 Bimaterial solid debonded over a penny-shaped region.- 3.4 Cracks normal to bimaterial interface.- 3.5 Bending of bimaterial plates with cracks at and normal to interface.- 3.6 Appendix: Crack tip stress field and stress intensity factor solutions.- A3.1 Oscillatory stresses in plane extension.- A3.2 Oscillatory stresses in plate bending.- A3.3 Concentrated forces at an arbitrary point.- A3.4 A partially bonded cylinder in an infinite medium.- A3.5 Bending of bimaterial plates debonded along a straight line.- A3.6 Partially debonded circular insert in a bent plate.- References.- 4 Composite material with a cracked layer and fiber.- 4.1 Introduction.- 4.2 A cracked layer sandwiched between two half-planes.- 4.3 Layered composite with a crack normal to interface.- 4.4 Penny-shaped crack parallel to interface of layered composite.- 4.5 Embedded cylinder with a crack normal to the interface.- 4.6 Cracks in composites with orthotropic layers.- References.- 5 Dynamic response of dissimilar materials with cracks.- 5.1 Introduction.- 5.2 Parallel crack in a sandwiched layer.- 5.3 Sandwiched layer with a crack normal to interface.- 5.4 Embedded penny-shaped crack parallel to composite interface.- 5.5 Cracked cylindrical fiber embedded in a matrix.- 5.6 Anti-plane shear of interface rectangular cracks in layered orthotropic dissimilar materials.- 5.7 Orthotropic layered composite debonded over a penny-shaped region subjected to sudden shear.- 5.8 Diffraction of time-harmonic waves by interface cracks in dissimilar media.- 5.9 Moving cracks in layered media of dissimilar materials.- Appendix: Inverse Laplace transform of dynamic stress intensity factor.- References.- 6 Plane extension and bending of laminate composite plates with cracks: static and dynamic loading.- 6.1 Introduction.- 6.2 A brief review of existing laminate plate theories.- 6.3 A laminate plate theory with boundary layer.- 6.4 Sudden extension of a cracked laminate.- 6.5 Bending theory of laminated plate: static and dynamic.- References.- Author's Index.