Fracture of a three layer elastic panel

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Date

2005

Author

Atay, Mehmet Tarık

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The panel is symmetrical about both x- and y- axes. The central strip (strip1) of width 2h1 contains a central transverse crack of width 2a on x-axis. The two strips (strip2) contain transverse cracks of width c-b also on x-axis. The panel is subjected to axial loads with uniform intensities p1 and p2 in strip1 and strip2 , respectively at . Materials of all strips are assumed to be linearly elastic and isotropic. Due to double symmetry, only one quarter of the problem and will be considered. The solutions are obtained by using Fourier transforms both in x and y-directions. Summing several solutions is due to the necessity for sufficient number of unknowns in general expressions in order to be able to satisfy all boundary conditions of the problem. The conditions at the edges of the strips and at the interfaces are satisfied and the general expressions for a three layer panel become expressions for the panel with free edges. Use of remaining boundary conditions leads the formulation to a system of two singular integral equations. These equations are converted to a system of linear algebraic equations which is solved numerically

Subject Keywords

Mechanical engineering.

URI

http://etd.lib.metu.edu.tr/upload/3/12606360/index.pdf
https://hdl.handle.net/11511/15757

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

M. T. Atay, “Fracture of a three layer elastic panel,” Ph.D. - Doctoral Program, Middle East Technical University, 2005.