Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Dynamic Analysis of a Non-Homogeneous Orthotropic Half-Layer with a Cavity and Crack Considering Piezoelectric Effects

Authors
1 دانشیار، گروه مهندسی مکانیک، واحد کرج، دانشگاه آزاد اسلامی، کرج، ایران
2 دانشجوی کارشناسی ارشد، گروه مهندسی مکانیک، واحد کرج، دانشگاه آزاد اسلامی، کرج، ایران
3 استادیار، گروه مهندسی مکانیک، واحد کرج، دانشگاه آزاد اسلامی، کرج، ایران
Abstract
This paper investigates the elastodynamic stress analysis of an inhomogeneous orthotropic half-plane containing a cavity and cracks, considering the effects of a piezoelectric layer. The loading is applied dynamically and out-of-plane, and the medium is modeled as linearly elastic. Employing the Volterra dislocation method, an effective approach for analyzing fracture mechanics parameters in media with cavity and cracks, the stress field in the inhomogeneous orthotropic half-plane in the presence of a piezoelectric layer is analyzed. Initially, the dislocation solution is obtained by solving the governing equation, applying boundary and continuity conditions, and utilizing the Fourier transform in the inhomogeneous medium. Subsequently, the stress field resulting from the dislocation is extracted, and using the Buckner principle, a system of integral equations for the defects is formulated. These singular Cauchy-type equations are solved numerically. After determining the dislocation distribution, the stress intensity factors at the crack tips and the stress distribution around the cavity are calculated. The results indicate that the stress intensity factors at the crack tips and the stress distribution around the cavity are dependent on geometric factors, material properties, and crack interactions. The novelty of this paper lies in the utilization of the dislocation and imaging methods for a precise analysis of these effects.
Keywords

Subjects


  • Receive Date 06 May 2025
  • Revise Date 09 July 2025
  • Accept Date 19 July 2025