Abstract

The dynamic behavior of layered composites is intimately associated with inherent flaws or cracks that are induced in the material during loading. Often, one of the dominant cracks may reach a critical size and begins to spread. Whether this process of material separation would lead to global instability or not depends on the nonhomogeneous properties of the composite structure. Because of the complexity of the physical phenomenon involving interaction of stress waves with varying material properties, a three-layered composite model is assumed with a crack moving in the center layer. The material properties of the middle layer differ from those of the surrounding material. Both in-plane extensional and out-of-plane shear loading are considered. Making use of the Galilean transformation and Fourier sine and cosine transforms, the dynamic crack tip stress fields are determined analytically while the dynamic stress intensity factors are evaluated numerically from the standard Fredholm integral equations. The intensity of the local dynamic stresses are found to either increase or decrease with the crack length to layer thickness depending on the relative magnitudes of the adjoining layer material properties. The crack speed tends to amplify the effect of material nonhomogeneity. These results are discussed in terms of the dynamic stress intensity factors and displayed graphically.

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