Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (11): 1565-1578.doi: https://doi.org/10.1007/s10483-017-2273-9

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Comprehensive investigation of stress intensity factors in rotating disks containing three-dimensional semi-elliptical cracks

M. FAKOOR, S. M. N. GHOREISHI   

  1. Faculty of New Sciences and Technologies, University of Tehran, Tehran 14395-1561, Iran
  • Received:2016-12-01 Revised:2017-05-07 Online:2017-11-01 Published:2017-11-01
  • Contact: M. FAKOOR E-mail:mfakoor@ut.ac.ir

Abstract:

Initiation and propagation of cracks in rotating disks may cause catastrophic failures. Therefore, determination of fracture parameters under different working conditions is an essential issue. In this paper, a comprehensive study of stress intensity factors (SIFs) in rotating disks containing three-dimensional (3D) semi-elliptical cracks subjected to different working conditions is carried out. The effects of mechanical properties, rotational velocity, and orientation of cracks on SIFs in rotating disks under centrifugal loading are investigated. Also, the effects of using composite patches to reduce SIFs in rotating disks are studied. The effects of patching design variables such as mechanical properties, thickness, and ply angle are investigated separately. The modeling and analytical procedure are verified in comparison with previously reported results in the literature.

Key words: probabilistic metric space, Menger space, Caristi’s fixed point theorem, hybrid fixed point, common hybrid fixed point, stress intensity factor (SIF), semi-elliptical crack, finite element analysis (FEA), rotating disk

2010 MSC Number: 

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