Determination of the Stress State of a Piecewise Homogeneous Elastic Body with a Row of Cracks on an Interface Surface Subject to Antiplane Strains with Inclusions at the Tips
Joint Authors
Golsoorat Pahlaviani, Ali
Mkhitaryan, Suren
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-15
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
The stress state of a bimaterial elastic body that has a row of cracks on an interface surface is considered.
It is subjected to antiplane deformations by uniformly distributed shear forces acting on the horizontal sides of the body.
The governing equations of the problem, the stress intensity factors, the deformation of the crack edges, and the shear stresses are derived.
The solution of the problem via the Fourier sine series is reduced to the determination of a singular integral equation (SIE) and consequently to a system of linear equations.
In the end, the problem is solved in special cases with inclusions.
The results of this paper and the previously published results show that the used approach based on the Gauss-Chebyshev quadrature method can be considered as a generalized procedure to solve the collinear crack problems in mode I, II, or III loadings.
American Psychological Association (APA)
Golsoorat Pahlaviani, Ali& Mkhitaryan, Suren. 2015. Determination of the Stress State of a Piecewise Homogeneous Elastic Body with a Row of Cracks on an Interface Surface Subject to Antiplane Strains with Inclusions at the Tips. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-22.
https://search.emarefa.net/detail/BIM-1074894
Modern Language Association (MLA)
Golsoorat Pahlaviani, Ali& Mkhitaryan, Suren. Determination of the Stress State of a Piecewise Homogeneous Elastic Body with a Row of Cracks on an Interface Surface Subject to Antiplane Strains with Inclusions at the Tips. Mathematical Problems in Engineering No. 2015 (2015), pp.1-22.
https://search.emarefa.net/detail/BIM-1074894
American Medical Association (AMA)
Golsoorat Pahlaviani, Ali& Mkhitaryan, Suren. Determination of the Stress State of a Piecewise Homogeneous Elastic Body with a Row of Cracks on an Interface Surface Subject to Antiplane Strains with Inclusions at the Tips. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-22.
https://search.emarefa.net/detail/BIM-1074894
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074894