Geometric Modeling of Transverse Cracking of Composites
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This manuscript presents a computationally efficient method based on a geometric model to simulate the transverse cracking of a 90∘ cross-ply in a composite laminate. The model expands on existing homogenized solutions of transverse cracking by accounting for the random microstructure of the transverse ply extracted from optical micrographs of a hybrid [0∕90∕0]T glass/carbon/epoxy composite laminate. The chapter summarizes the three steps of the method, which allows to model the creation of multiple transverse cracks in realistic transverse plies composed of tens of thousands of fibers. The model is calibrated against experimental measurements of the critical values of the applied transverse strain corresponding to the appearance of transverse cracks and then used in a statistical analysis of the impact of the interface strength distribution on the evolution of the transverse cracking process.
KeywordsTransverse cracking Carbon-epoxy composites Composite laminate Interfacial failure Mesoscale modeling Shear-lag theory Virtual microstructure model Weibull distribution Transverse crack shielding Statistical analysis Acoustic emission
This work has been supported through a grant No. FA9550-12-1-0445 to the Center of Excellence on Integrated Materials Modeling (CEIMM) at Johns Hopkins University (partners JHU, UIUC, UCSB), awarded by the AFOSR/RSL (Computational Mathematics Program, Manager Dr. A. Sayir) and AFRL/RX (Monitors Dr. C. Woodward and C. Przybyla).
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