Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Computation of stress intensity factors in a functionally graded orthotropic half-plane weakened by multiple edge cracks under impact loading

Authors
Mojtaba Mahmoudi Monfared 1
Rasul Bagheri 2
1 Department of Mechanical Engineering, Hashtgerd Branch, Islamic Azad University, P.O. Box 33615-178, Alborz, Iran
2 Department of Mechanical Engineering, Mechatronics Faculty, Karaj Branch, Islamic Azad University, Alborz, Iran
10.30506/ijmep.2020.101220.1513
Abstract
In this paper, stress analyses by means of distributed dislocation method in a functionally graded orthotropic half-plane weakened by multiple edge cracks under anti-plane impact loading is studied. First, dislocation solution by using of Fourier and Laplace transforms, boundary conditions and continuity conditions is carried out. Then by applying inversion of Fourier transform, the fields of stress analysis in Laplace domain is calculated. Using of this solution, the integral equations for analyzing of multiple edge and internal cracks in a half-functionally graded orthotropic plane is obtained. The behavior of this equation is Cauchy singularity at the location of dislocation which is solved numerically. By applying the inversion of Laplace transform using of Stehfest’s method, the dislocation densities on the crack surface obtained which are used to determine dynamic stress intensity factors at crack tips. Finally, the effects of the isotropic or orthotropic property, non-homogeneity parameter, crack location and the interaction of multiple edge cracks on the dynamic stress intensity factors in a functionally graded orthotropic half-plane are studied.
Keywords
Volterra dislocation
Anti-plane impact loading
Functionally orthotropic half-plane
Dynamic stress intensity factors

Subjects

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  • Receive Date 06 January 2019
  • Revise Date 26 June 2019
  • Accept Date 26 October 2020