Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Stress analysis in an orthotropic non-homogeneous strip sandwiched between two piezoelectric layers weakened by multiple cracks

Authors
jalal kangi 1
Rasul Bagheri 2
1 Department of Mechanical Engineering
2 Assistant Professor, Department of Mechanical Engineering, Karaj Branch, Islamic Azad University
Abstract
In the present paper, the problem of multiple cracks in a non-homogeneous orthotropic layer bonded between two piezoelectric layers is considered. The shear modulus of the middle layer is considered for a class of functional forms for which the equilibrium equation has an analytical solution. The elastic shear modulus of the functionally graded orthotropic layer is considered to vary exponentially. The analysis is based on the stress fields caused by Volterra-type screw dislocation in the functionally graded orthotropic strip. The solution for dislocation is obtained by means of the complex Fourier transform. The dislocation solution is then employed as strain nuclei to derive singular integral equations for a medium weakened by multiple smooth cracks. The integral equations are of Cauchy singular type at the location of dislocation which are solved numerically for dislocation density functions. Several examples are solved and the stress intensity factors for multiple cracks with different configuration are obtained.
Keywords
Multiple cracks
Non-homogeneouse strip
Dislocation technique
Piezoelectric layer
Cauchy singularity

Subjects

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Iranian Journal of Mechanical Engineering Transactions of ISME
Volume 19, Issue 3 - Serial Number 48
System Dynamics and Solid Mechanics
Autumn 2016
Pages 42-63

  • Receive Date 12 May 2016
  • Revise Date 17 June 2016
  • Accept Date 09 November 2017