The Proceedings of the Materials and Mechanics Conference
Online ISSN : 2424-2845
2011
Session ID : OS2615
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OS2615 Transient Thermoelectromechanical Response of a Functionally Graded Piezoelectric Material Strip with an Infinite Row of Parallel Cracks
Sei UEDA
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Abstract
In this paper, the problem of an infinite row of parallel cracks in a functionally graded piezoelectric material strip (FGPM strip) is analyzed under transient thermal loading condition. The crack faces are supposed to be completely insulated. Material properties are assumed to be exponentially dependent on the distance from the bottom surface. The superposition technique is used to solve the governing equations. The transient temperature and thermal stress in an uncracked strip are the same as the previous results. This thermal stress is used as the crack surface traction with opposite sign to formulate the mixed boundary value problem. By using the Fourier transform, the thennoelectromechanical problem is reduced to a singular integral equation. The singular integral equation is solved by using the Gauss-Jacobi integration formula. The stress intensity factors for both the embedded and edge cracks are computed. The results for the crack contact problem are also included.
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© 2011 The Japan Society of Mechanical Engineers
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