The effect of the initial stretching of the rectangular plate with a cylindrical hole on the stress and displacement distributions around the hole

Authors: ÜLKÜ YEŞİL

Abstract: The effect of an initial stretching of a rectangular plate with a cylindrical hole on the stress and displacement distributions around the hole, which are caused by the additional loading, was studied using the finite element method. It is assumed that the initial stresses are caused by the uniformly stretching forces acting on the 2 opposite ends. It is also assumed that the cylindrical hole contained by the thick plate is between these ends and goes in parallel with them. The aim of the author is to analyze the effect of anisotropy and initial loading on the stress and displacement distributions around the cylindrical hole of the considered plate. The mathematical formulation of the corresponding boundary-value problem is presented within the framework of the 3-dimensional linearized theory of elasticity. In order to find a solution to this problem, the 3D finite element method was employed. The numerical results on the distribution of the stress and displacement distributions around the cylindrical hole and the influence of the initial forces, geometrical and mechanical parameters on these distributions are presented and discussed.

Keywords: Initial stretching force, stress concentration, cylindrical hole, composite thick plate, FEM (Finite Element Method)}

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