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Stress-Strain State Of Elastic Plate With An Arbitrary Smooth Notch Cover

Stress-Strain State Of Elastic Plate With An Arbitrary Smooth Notch

By: Ihor Kuz,  Olga Kuz and  Heorgij Sulym  
Open Access
|Dec 2015

Abstract

The paper contains comparing calculations of the stress fields in an elastic plate with notch along the arc of a circle, ellipse or parabola obtained by analytic method based on complex Kolosov-Muskhelishvili potentials and by numerical variation-difference method. These fields differ by no more than 2%, which, in particular, indicates the reliability of such numerical implementation. This discrepancy can be explained by the fact that in the analytical solution domain is unbounded, while the numerical calculation was carried out, obviously, for a finite field. The given stresses at the top of the notch along the arc of an ellipse or a parabola significantly increase with increasing of the relative depth of the notch (while increasing its depth or decreasing width).

DOI: https://doi.org/10.1515/ama-2015-0038 | Journal eISSN: 2300-5319 | Journal ISSN: 1898-4088
Language: English
Page range: 241 - 244
Submitted on: May 4, 2015
Accepted on: Dec 16, 2015
Published on: Dec 30, 2015
Published by: Bialystok University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2015 Ihor Kuz, Olga Kuz, Heorgij Sulym, published by Bialystok University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.