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Effects of graded properties on the impact response of an interface crack in a coating/substrate system subjected to antiplane deformation
Author(s) -
Lee HoJoon,
Choi Hyung Jip
Publication year - 2006
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200410221
Subject(s) - materials science , antiplane shear , laplace transform , integral transform , composite material , material properties , singular integral , coating , stress intensity factor , integral equation , mechanics , mathematical analysis , fracture mechanics , mathematics , physics
An elastodynamic analysis of an interface crack in coated media with functionally graded properties is performed under the condition of antiplane shear impact. The graded material exists as a nonhomogeneous interlayer between the dissimilar, homogeneous phases of the coating/substrate system or as a nonhomogeneous coating deposited on the substrate. The material nonhomogeneity is represented in terms of power‐law variations of shear modulus and mass density. Based on the use of the integral transform technique, formulation of the transient crack problem is reduced to having to solve a Cauchy‐type singular integral equation in the Laplace transform domain. Via the inversion of the Laplace transforms, the values of dynamic mode III stress intensity factors are obtained as a function of time. In the numerical results, the effects of material and geometric parameters of the coating/substrate system with the graded, nonhomogeneous constituent are illustrated, addressing the dynamic load transfer and overshoot characteristics of the transient crack‐tip behavior. Furthermore, a comparison is made with the dynamic behavior of the interface crack in a discretely coated material system.