Abstract
Transient response of an annular crack in a plate of a functionally graded piezoelectric material (FGPM) is studied under thermal shock 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 completely insulated. Some material properties are assumed to be exponentially dependent on the distance from the crack line paralel to the boundaries of the plate. By using both the Laplace and Hankel transforms, the thermal and electromechanical problems are reduced to a singular integral equation and a system 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 are presented for various values of dimensionless parameters representing the material nonhomogeneity and the crack position.
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