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Title

Analytical Stress Solutions of an Orthotropic Sector Weakened by Multiple Defects by Dislocation Approach

Analytical Stress Solutions of an Orthotropic Sector Weakened by Multiple Defects by Dislocation Approach
Year: 1399
COI: JR_JSMA-12-2_009
Language: EnglishView: 230
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Authors

A.R Hassani - Young Researchers and Elite Club, Hashtgerd Branch, Islamic Azad University, Alborz, Iran
A Hassani - Young Researchers and Elite Club, Hashtgerd Branch, Islamic Azad University, Alborz, Iran

Abstract:

In this article, the anti-plane deformation of an orthotropic sector with multiple defects is studied analytically. The solution of a Volterra-type screw dislocation problem in a sector is first obtained by means of a finite Fourier cosine transform. The closed form solution is then derived for displacement and stress fields over the sector domain. Next, the distributed dislocation method is employed to obtain integral equations of the sector with cracks and cavities under anti-plane traction. These equations are of Cauchy singular kind, which are solved numerically by generalizing a numerical method available in the literature by means of expanding the continuous integrands of integral equations with different weight functions in terms of Chebyshoff and Jacobi polynomials. A set of examples are presented to demonstrate the applicability of the proposed solution procedure. The geometric and force singularities of stress fields in the sector are also studied and compared to the earlier reports in the literature.

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Paper COI Code

This Paper COI Code is JR_JSMA-12-2_009. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1025608/

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Hassani, A.R and Hassani, A,1399,Analytical Stress Solutions of an Orthotropic Sector Weakened by Multiple Defects by Dislocation Approach,https://civilica.com/doc/1025608

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  • Kargarnovin M., Shahani A., Fariborz S., 1997, Analysis of an ...
  • Kargarnovin M., Fariborz S., 2000, Analysis of a dissimilar finite ...
  • Shahani A.R., 1999, Analysis of an anisotropic finite wedge under ...
  • Shahani A.R., 2003, Mode III stress intensity factors for edge-cracked ...
  • Lin R.-L., Ma C.-C., 2004, Theoretical full-field analysis of dissimilar ...
  • Chen C.-H., Wang C.-L., 2009, A solution for an isotropic ...
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