<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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).</p></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).

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

Department of Mechanics and Mathematics, Ivan Franko National University of Lviv, 1 Universitetska Str., 79000 Lviv, Ukraine

Vyacheslav Chornovil Institute of Ecology, Nature Protection and Tourism, National University “Lviv Polytechnic”, 12 Bandery Str.,79013 Lviv, Ukraine

Faculty of Mechanical Engineering, Bialystok University of Technology, 45C Wiejska Str., 15-351 Bialystok, Poland

Acta Mechanica et Automatica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Stress-Strain State Of Elastic Plate With An Arbitrary Smooth Notch"}

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...

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

Published Online: Dec 30, 2015

Page range: 241 - 244

Received: May 04, 2015

Accepted: Dec 16, 2015

DOI: https://doi.org/10.1515/ama-2015-0038

Keywords
Semi-Plane, Plate, Notch, Variation-Difference Method, Stress Field

© 2015 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Dec 30, 2015

Page range: 241 - 244

Received: May 04, 2015

Accepted: Dec 16, 2015

DOI: https://doi.org/10.1515/ama-2015-0038

KeywordsSemi-Plane, Plate, Notch, Variation-Difference Method, Stress Field

© 2015 Bialystok University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Semi-Plane, Plate, Notch, Variation-Difference Method, Stress Field