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A periodic array of cracks in functional graded materials subjected to thermo-mechanical loading
Affiliation:1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta T6G 1H9, Canada;1. Department of Civil, Chemical and Environmental Engineering, University of Genova, Via Montallegro 1, 16145 Genova, Italy;2. DIME – Sez. Metodi e Modelli Matematici, University of Genova, Piazzale J.F. Kennedy, pad.D, 16129 Genova, Italy;1. Department of Structural Mechanics and Strength of Materials, Prydniprovska State Academy of Civil Engineering and Architecture, Ukraine;2. School of Computing and Mathematics, Keele University, UK
Abstract:A periodic array of cracks in an infinite functionally graded material under mechanical and/or thermal loading is investigated. Due to non-uniform heating or cooling, compressive stresses occur causing the crack surfaces to come into contact at a certain contact length. The mixed boundary value problem is reduced to a singular integral equation with the crack contact length as an additional unknown variable. Numerical results for stress intensity factors and the crack contact length are obtained as a function of crack spacing. Effect of the material non-homogeneity on the crack tip intensity factors is discussed. Some suggestions are made for the design of thermal resistive functionally graded materials.
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