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Fractal dimension indicator for damage detection in uncertain composites

Ganguli, R (2020) Fractal dimension indicator for damage detection in uncertain composites. [Book Chapter]

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Official URL: https://doi.org/10.1016/B978-0-08-102941-1.00013-4


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.

Item Type: Book Chapter
Publication: Uncertainty Quantification in Multiscale Materials Modeling
Publisher: Elsevier
Additional Information: The copyright for this article belongs to Elsevier.
Keywords: Damage detection; Fractal dimension; Karhunen–Loeve expansion; Matrix cracks; Spatial uncertainty
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 19 Oct 2022 10:41
Last Modified: 19 Oct 2022 10:41
URI: https://eprints.iisc.ac.in/id/eprint/77471

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