Analysis of a moving crack in a functionally graded strip between two homogeneous layers |
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Authors: | Zhanqi Cheng Zheng Zhong |
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Affiliation: | aSchool of Civil Engineering, Zhengzhou University, Zhengzhou 450001, PR China;bSchool of Aerospace Engineering and Applied mechanics, Tongji University, Shanghai 200092, PR China |
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Abstract: | In this paper a finite crack with constant length (Yoffe-type crack) propagating in a functionally graded strip with spatially varying elastic properties between two dissimilar homogeneous layers under in-plane loading was studied. By utilizing the Fourier transformation technique, the mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. The influences of the geometric parameters, the graded parameter, the crack length and speed on the stress intensity factors are investigated. The numerical results show that the graded parameters, the thicknesses of the functionally graded strip and the two homogeneous layers, the crack size and speed have significant effects on the dynamic fracture behavior. |
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Keywords: | Functionally graded material Moving crack Dynamical stress intensity factors Fourier transformation Singular integral equation |
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