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Impact failure prediction of Mode III crack in orthotropic functionally graded strip
Authors:W J Feng  Z G Zhang  Z Z Zou
Institution:a Department of Mechanics and Engineering Sciences, Shijiazhuang Railway Institute, Shijiazhaung 050043, People’s Republic of China;b Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, People’s Republic of China
Abstract:Mode III impact of a crack in an orthotropic functionally graded strip is investigated. The shear moduli in two directions of the material are assumed to vary proportionately with gradient. Laplace transform and Fourier cosine transform are used to reduce the problem to solving a Fredholm integral equation. The crack tip stress field is obtained by considering the asymptotic behavior of Bessel function. Energy density factor criterion is applied to obtain the maximum of minimum energy density and direction of crack initiation. Numerical results are given graphically. The effects of orthotropy, nonhomogeneity and height of the strip on the energy density factor are discussed.
Keywords:Failure  Antiplane shear impact  Crack  Orthotropic media  Functionally graded strip  Energy density factor
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