Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (9): 1335-1360.doi: https://doi.org/10.1007/s10483-019-2520-9

• Articles • Previous Articles     Next Articles

Compensation of stress intensity factors in hollow cylinders containing several cracks under torsion by electro-elastic coating

M. KARIMI1,2, A. GHASSEMI1,2, A. ATRIAN1,2, M. VAHABI1,2   

  1. Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran;
    2. Modern Manufacturing Technologies Research Center, Najafabad Branch, Islamic Azad University, Najafabad, Iran
  • Received:2018-10-23 Revised:2019-02-22 Online:2019-09-01 Published:2019-09-10
  • Contact: A. ATRIAN E-mail:amiratrian@gmail.com

Abstract: In this article, a formulation for a hollow cylinder reinforced with an electroelastic layer is investigated. The hollow cylinder and its electro-elastic coating are under the Saint-Venant torsional loading. First, the solution to the problem containing a Volterra-type screw dislocation is obtained by using the Fourier transform. The problem is then reduced to a set of Cauchy singular integral equations by the distributed dislocation method. Finally, several examples are presented to show the effect of the electro-elastic coating on the reduction of the stress intensity factors at the crack tips.

Key words: hollow cylinder, electro-elastic coating, stress intensity factor, multiple arbitrarily oriented cracks, Saint-Venant torsion, electric displacement

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals