alexa Transient Thermoelectroelastic Response of a Functionally Graded Piezoelectric Material Strip with Two Parallel Cracks in Arbitrary Positions
ISSN: 2168-9873

Journal of Applied Mechanical Engineering
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Research Article

Transient Thermoelectroelastic Response of a Functionally Graded Piezoelectric Material Strip with Two Parallel Cracks in Arbitrary Positions

Ueda S* and Kishimoto T
Department of Mechanical Engineering, Osaka Institute of Technology, Japan
*Corresponding Author : Ueda S
Department of Mechanical Engineering
Osaka Institute of Technology, 5-16-1 Omiya
Asahi-ku, Osaka, 535-8585, Japan
Tel: (816)6954-4263
E-mail: [email protected]
Received: February 09, 2016; Accepted: March 09, 2016; Published: March 13, 2016
Citation: Ueda S, Kishimoto T (2016) Transient Thermoelectroelastic Response of a Functionally Graded Piezoelectric Material Strip with Two Parallel Cracks in Arbitrary Positions. J Appl Mech Eng 5:203. doi:10.4172/2168-9873.1000203
Copyright: © 2016 Ueda S, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
 

Abstract

In this article, the problem of two parallel cracks in arbitrary positions of a functionally graded piezoelectric material (FGPM) strip is analyzed under transient thermal loading conditions. It is assumed that the thermoelectroelastic properties of the strip vary continuously along the thickness of the strip, and that the crack faces are supposed to be insulated thermally and electrically. By using both the Laplace transform and the Fourier transform, the thermal and electromechanical problems are reduced to two systems of singular integral equations. The singular integral equations are solved numerically, and a numerical method is then employed to obtain the time dependent solutions by way of a Laplace inversion technique. The intensity factors versus time for various geometric and material parameters are calculated and presented in graphical forms. Temperature change, the stress and electric displacement distributions in a transient state are also included.

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