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Dynamic stress intensity factor of a functionally graded material under antiplane shear loading |
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| Authors: | Dr C Li Prof G J Weng Prof Z Duan Prof Z Zou |
| Affiliation: | (1) Department of Mechanical and Aerospace Engineering, Rutgers University, 08903 New Brunswick, NJ, USA;(2) Department of Mechanical Engineering, University of Delaware, 19716, DE, USA;(3) LNM, Institute of Mechanics, Chinese Academy of Sciences, 100080 Beijing, China;(4) Department of Communications Engineering, Shijiazhuang Railway Institute, 050043 Shijiazhuang, China |
| Abstract: | Summary The dynamic response of a finite crack in an unbounded Functionally Graded Material (FGM) subjected to an antiplane shear loading is studied in this paper. The variation of the shear modulus of the functionally graded material is modeled by a quadratic increase along the direction perpendicular to the crack surface. The dynamic stress intensity factor is extracted from the asymptotic expansion of the stresses around the crack tip in the Laplace transform plane and obtained in the time domain by a numerical Laplace inversion technique. The influence of graded material property on the dynamic intensity factor is investigated. It is observed that the magnitude of dynamic stress intensity factor for a finite crack in such a functionally graded material is less than in the homogeneous material with a property identical to that of the FGM crack plane. |
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