Abstract
Numerical Analysis of Stressed State of an Elastic Strip Plate with Collinear Cracks and Thin-Walled Inclusions at Antiplane Shear Loading
Highlights
Ali Golsoorat Pahlaviani*A long elastic strip plate with collinear cracks at antiplane deformation in the case that each crack tips are joined by thinwalled inclusions deformed according to the known Winkler’s model is considered
In this paper, we calculate the stress distribution state and S.I.F of the crack tips and dislocations of edges of a long strip elastic rectangular plate (Figure 1)
Applying Fourier finite sine transformation, the solution of stated problem can be reduced to the solution of singular integral equation (SIE), and, via the known method [5,6,7], the solution of singular integral equations can be reduced to the system of linear equations
Summary
A long elastic strip plate with collinear cracks at antiplane deformation in the case that each crack tips are joined by thinwalled inclusions deformed according to the known Winkler’s model is considered. The uniformly distributed shear forces causing the antiplane deformation of the plate are acting on the horizontal sides of the strip and the edges of cracks are free of inclusions. For convenience in numerical calculation the strip plate is divided to several plates so that each segment has one crack at the center. Numerical calculations based on the Gauss Quadratic solution are achieved. For the main characteristics of stated problem, such as the SIF, the crack opening, the shear stresses on the edges of the inclusion, and the shear stresses out-of-crack the obvious equations are obtained and the special cases considered
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