Elastic Analysis of Banana Shaped Crack in Transversely Isotropic Media under Non-Uniform Internal Pressure

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Rajabipour, Mohammad | 2017

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 51767 (09)
University: Sharif University of Technology
Department: Civil Engineering
Advisor(s): Eskandari, Morteza
Abstract:
This research investigates the presence of banana shaped crack in transversely isotropic media under internal pressure and calculates the stress intensity coefficients. In the beginning, the equations of equilibrium, along with the constitutive equations governing the transversely isotropic media and the boundary conditions of the problem, are determined. Then, by using a three-dimensional mapping, the non-centered banana shaped crack is turned into a centered crack. In the following, we solve the problem analytically by using the Fabrikant's potential functions for transversely isotropic environment, and by the method provided by Fabrikant rewriting the boundary conditions in terms of these potential functions. Since this kind of crack at the contact surface of the material and the homogeneous materials are observed repeatedly after the production process, so studying this type of cracks, in order to get a proper understanding of the effect of this type of cracks in the materials is necessary
Keywords:
Banana Shaped Crack ; Transversely Isotropic ; Stress Intensity Factor ; Constitutive Equations ; Three Dimentional Mapping ; Fabrikant's Potential Functions ; Internal Pressure

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