An anti-plane crack perpendicular to the weak/micro-discontinuous interface in a bi-FGM structure with exponential and linear non-homogeneities |
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Authors: | Yong-Dong Li Kang Yong Lee |
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Affiliation: | (1) Department of Mechanical Engineering, Academy of Armored Force Engineering, No.21, Du Jia Kan, Chang Xin Dian, Beijing, 100072, P.R. China;(2) School of Mechanical Engineering, Yonsei University, Seoul, 120-749, South Korea |
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Abstract: | Treated was an anti-plane crack perpendicular to the interface of an exponential-type FGM strip bonded to another linear-type
FGM substrate with infinite thickness. Through Fourier integral transform, the problem was reduced as a Cauchy singular integral
equation, which was further solved numerically by the Lobatto–Chebyshev collocation method. Based on the numerical solution,
the effects of the geometrical and physical parameters on the stress intensity factor (SIF) were analyzed and the following
conclusions were obtained: (a) A notable discrepancy between the interface-perpendicular crack and the interfacial one is
that, to reduce the weak-discontinuity of interface or to make the interface micro-discontinuous will not necessarily decrease
the SIF of the former, but will surely decrease that of the latter. (b) When a crack tip is situated very near to the interface
(or free surface), its SIF will be high and totally dominated by the interface (or free surface). (c) To increase the stiffness
of the FGM on one side of the interface is beneficial to preventing the crack on the other side from growing toward the interface.
Besides, some practical suggestions were further given for material design in the field of composites. |
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Keywords: | Inter-diffusion bi-FGM interface Non-homogeneity Stress intensity factor Weak discontinuity Micro-discontinuity |
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