Torsional impact of transversely isotropic solid with functionally graded shear moduli and a penny-shaped crack |
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| Authors: | C. Y. Li Z. Z. Zou Z. P. Duan |
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| Affiliation: | a Department of Architectural Engineering, Shijiazhuang Railway Institute, Shijiazhuang 050043, People's Republic of China;b LNM, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, People's Republic of China |
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| Abstract: | The torsional impact response of a penny-shaped crack in an unbounded transversely isotropic solid is considered. The shear moduli are assumed to be functionally graded such that the mathematics is tractable. Laplace transform and Hankel transform are used to reduce the problem to solving a Fredholm integral equation. The crack tip stress fields are obtained. Investigated are the influence of material nonhomogeneity and orthotropy on the dynamic stress intensity factor. The peak value of the dynamic stress intensity factor can be suppressed by increasing the shear moduli's gradient and/or increasing the shear modulus in a direction perpendicular to the crack surface. |
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| Keywords: | Anisotropic media Functionally graded material Dynamic stress intensity factor Crack Impact |
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