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Matrix crack spacing in brittle matrix composites
Affiliation:1. Science and Technology on High Strength Structural Materials Laboratory Central South University, Changsha 410083, PR China;2. State Key Laboratory of Powder Metallurgy, Central South University Changsha 410083, PR China;3. College of Civil Aviation, Nanjing University of Aeronautics and Astronautics Nanjing 211106, PR China;4. Institute of Advanced Structure Technology, Beijing Institute of Technology Beijing 100081, PR China;1. State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400030, China;2. College of Aerospace Engineering, Chongqing University, Chongqing 400030, China;1. Key Laboratory of Aero-engine Thermal Environment and Structure, Ministry of Industry and Information Technology, Jiangsu Province Key Laboratory of Aerospace Power System, College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China;2. College of Chemical Engineering, Nanjing Forestry University, Nanjing 210016, PR China;3. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China
Abstract:A model describing the evolution of matrix cracks in undirectional continuous fiber, brittle matrix composites is developed. The approach involves calculation off the steady state strain energy release rate available for crack extension in terms of the constituent properties, the applied stress and the distances to the neighboring cracks. Interactions between cracks are found to occur when the crack spacing falls below twice the slip length. The model provides an analytical solution to the crack spacing for periodic arrays of cracks. Comparisons are conducted with predictions derived from computer simulations of random cracking. The effects of the matrix flaw density are briefly considered.
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