Cracks in materials possessing homogeneous anisotropy
The increasing use of advanced composite materials in high performance structures has brought a renewed interest in the analysis of materials possessing anisotropy and/or nonhomogeneity. Typically, the application involves filament-reinforced composites stacked in layers to form a laminate. The question of whether the mechanical behavior of such composites can be adequately described by the theory of homogeneous anisotropic elasticity does not possess a general answer. Each situation must be analyzed individually depending on the mechanical properties of the structural elements and construction of the composite system. A comparison between the theory of homogeneous anisotropy and nonhomogeneous isotropy has been made by Sih et al.  for the fracture of filament-reinforced composites.
KeywordsStress Intensity Factor Anisotropic Elasticity Fredholm Integral Equation Elastic Symmetry Antiplane Shear
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