Stress-strain state of elastic plate with an arbitrary smooth notch

• Autorzy: Kuz I. , Kuz O. , Sulym H.

Identyfikatory

DOI

10.1515/ama-2015-0038

• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

semi-plane; plate; notch; variation-difference method; stress field

PL

pole naprężeń; płyta elastyczna; płyta konstrukcyjna; samolot

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2015
• Tom: Vol. 9, no. 4
• Strony: 241--244
• Opis fizyczny: Bibliogr. 17 poz., rys., wykr.

Twórcy

autor

Kuz I.

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

autor

Kuz O.

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

autor

Sulym H.

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

Bibliografia

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• 4. Kuz O. (2005), Stress state of semi-plane with notch under uniform extension, Abstract of the Sixth Polish-Ukrainian Conference “Current problems of mechanics of nonhomogeneous media”, Warsaw, 76–77 (in Ukrainian).
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