Abstract
A fractal dimension (FD)-based damage detection method is presented for a composite plate with random material properties. Composite materials show spatially varying random material properties because of complex manufacturing processes. Matrix cracks are implanted as damage in the composite plate. Such cracks are often seen as the initial damage mechanism in composites under fatigue loading and also occur due to low velocity impact. Reduced stiffness matrices for the composite laminate are obtained using a matrix crack model which links the microscale crack density to the mesoscale stiffness degradation. Damage detection is carried out based on a sliding window FD operator using the static deflection. A two-dimensional homogeneous Gaussian random field is generated using Karhunen–Loeve expansion to represent the spatial variation of composite material properties. The robustness of FD-based damage detection method is demonstrated considering the composite material properties as a two-dimensional random field.
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