Analysis of rectangular cracks in elastic bodies

•The solution to Volterra dislocation is obtained in a 3-D elastic body.•The integral equations are derived for the analysis of rectangular cracks with arbitrary arrangement.•The solutions to singular integral equations are carried out numerically and results are employed to determine SIFs. The solu...

Full description

Saved in:
Bibliographic Details
Published in:Theoretical and applied fracture mechanics 2017-02, Vol.87, p.78-90
Main Authors: Vafa, J.P., Fariborz, S.J.
Format: Article
Language:English
Subjects:
Cauchy singular
Cracks
Dislocation
Dislocations
Elastic bodies
Infinite space
Integral equations
Mathematical analysis
Mixed mode
Rectangular crack
Stress intensity factors
Studies
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:•The solution to Volterra dislocation is obtained in a 3-D elastic body.•The integral equations are derived for the analysis of rectangular cracks with arbitrary arrangement.•The solutions to singular integral equations are carried out numerically and results are employed to determine SIFs. The solution of Volterra dislocation is derived in an infinite elastic body. Stress components are Cauchy singular at dislocation location. The stress field is utilized to construct integral equations for rectangular cracks with arbitrary arrangement in the body. The solution to integral equations is used to determine stress intensity factors on the crack edges. Numerical results are presented for a rectangular crack under various loads. Furthermore, interaction between two cracks, having a line of symmetry, is studied.
ISSN:0167-8442
1872-7638
DOI:10.1016/j.tafmec.2016.10.008