Calculation of Stress-Strain State Elastic Plate with Notch of an Arbitrary Smooth Contour

• Autorzy: Kuz I. S. , Kuz O. N.
• 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 analyticnumerical method based on complex Kolosov-Mushelishvili 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.

Słowa kluczowe

EN

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

• Wydawca: Społeczna Akademia Nauk w Łodzi
• Czasopismo: Journal of Applied Computer Science Methods
• Rocznik: 2013
• Tom: Vol. 5 No. 1
• Strony: 29--46
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Kuz I. S.

• Department of Mechanics and Mathematics, Ivan Franko National University of L’viv, Ukraine

autor

Kuz O. N.

• Vyacheslav Chornovil Institute of Ecology, Nature Protection and Tourism, National University, Lviv Polytechnic, Ukraine

Bibliografia

• 1. Bozydarnik V. V., Sulim G. T., 2012, Theory of Elasticity, V. 1, Publishing House of Lutsk National Technical University, Lutsk (in Ukrainian).
• 2. Kuz I., Timar I., 2010, Stress-strain state of elastic-plastic plates with cut or absolutely rigid inclusion, Visnyk of Lviv University, Ser. Mech. Et Math, 73, pp 148154 (in Ukrainian).
• 3. 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, pp. 7677 (in Ukrainian).
• 4. Mushelishvili N. I., 1966, Some Main Problems of Mathematical Theory of Elasticity, Nauka, Moscow (in Russian).
• 5. Panasiuk V. V., Savruk M. P., Datsyshyn O. P., 1976, Distribution of Stresses near Cracks in Plates and Shells, Naukova Dumka, Kyiv (in Russian).
• 6. Pobedria B. E, 1981, Numerical Methods in Theory of Elasticity and Plasticity, Publishing House of Moscow University, Moscow (in Russian).
• 7. Savruk M. P., Kazberuk A., 2007, Stress concentration near a rounded v-notch with arbitrary vertex curvature, Acta mechanica et automatica, 1, 1, pp. 99102 (in Polish).
• 8. Sheshenin S. V., Kuz I. S., 1990, About an applied iterative methods, Calculating mechanics of deformable solid, 1, pp. 6374 (in Russian).