Fractal Property of Matrix Cracking in GFRP Cross-Ply Laminates

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Matrix cracking is the most important damage mechanism in FRP structures because it causes stiffness degradation of structures and becomes the origin of delaminations. In this study, therefore, with specimens of stacking sequence [0/904]s, tension tests were conducted and in situ observations of the matrix cracking in the 90° ply were made by a replica method. As a result, the distribution of the matrix crack positions was experimentally proven to be a fractal distribution of D = 0.45 and was constant at any loading levels. Using this fractal distribution, the stiffness degradation was evaluated based on an imaginary crack density. Based on these results, the fractal distribution of the initial defect size was modeled and experimentally proven to be a fractal distribution of D= 1.6. The model was applied successfully to predict variations of crack density with increasing applied load using damage mechanics.

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