Transient response of a semi-infinite piezoelectric layer with a surface permeable crack |
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| Authors: | Xian-Fang Li Kang Yong Lee |
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| Institution: | (1) Institute of Mathematics and Sensor Technology, School of Civil Engineering and Architecture, Central South University, Changsha, Hunan, 410083, P. R. China;(2) School of Mechanical Engineering, Yonsei University, Seoul, 120-749, South Korea |
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| Abstract: | The transient response of a semi-infinite transversely isotropic piezoelectric layer containing a surface crack is analyzed
for the case where anti-plane mechanical and in-plane electric impacts are suddenly exerted at the layer end. The integral
transform techniques are used to reduce the associated mixed initial boundary value problem to a singular integral equation
of the first kind, which can be solved numerically via the Lobatto–Chebyshev collocation technique. Dynamic field intensity
factors are determined by employing a numerical inversion of the Laplace transform. The dynamic stress intensity factors are
presented graphically and the effects of the material properties and geometric parameters are examined.
Received: June 30, 2003 |
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| Keywords: | 74H35 74M20 74R10 |
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