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Infinite Row of Parallel Cracks in a Functionally Graded Piezoelectric Material Strip Under Mechanical and Transient Thermal Loading Conditions
Authors:S Ueda  Y Ashida
Affiliation:1. Department of Mechanical Engineering , Osaka Institute of Technology , Asahi-ku, Osaka, Japan ueda@med.oit.ac.jp;3. Department of Mechanical Engineering , Osaka Institute of Technology , Asahi-ku, Osaka, Japan
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 static mechanical and transient thermal loading conditions. The crack faces are supposed to be completely insulated. Material properties are assumed to be exponentially dependent on the distance from the bottom surface. By using the Laplace and Fourier transforms, the thermoelectromechanical problem is reduced to a singular integral equation, which is solved numerically. The stress intensity factors for both the embedded and edge cracks are computed. The results for the crack contact problem are also included.
Keywords:Crack contact  Elasticity  Fracture mechanics  Functionally graded piezoelectric material  Integral transform  Stress intensity factor  Transient response
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