Generalized method of supplementary strain in the problems of beam torsion



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Abstract

Generalized supplementary strain method efficiency is shown by beam elastoplastic torsion problem solving using BEM formulation. Dependence of convergence rate on modified shear modulus and on the twist angle was studied. Optimal choice of plasticity parameter leads to maximum convergence rate for this method.

About the authors

Y. M Temis

Moscow State University of Mechanical Engineering (MAMI)

Email: tm@mami.ru
Dr.Eng., Prof.

A. A Lazarev

Moscow State University of Mechanical Engineering (MAMI)

Email: tm@mami.ru

O. L Malanova

Moscow State University of Mechanical Engineering (MAMI)

Email: tm@mami.ru

References

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  3. Ильюшин А.А. Пластичность. – ГИТТЛ, 1948.
  4. Темис Ю.М. Применение метода Ньютона-Канторовича при решении задач деформационной теории пластичности. – Труды ЦИАМ № 1256, 1988.
  5. Биргер И.А., Мавлютов Р.Р. Сопротивление материалов. ‑ Наука, Москва, 1986.
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  7. Temis Y.M., Karaban V.V. Boundary element technique in torsion problems of beams with multiply connected cross-sections. – J. KSIAM. vol.5, № 2, p. 39-51, 2001.

Copyright (c) 2012 Temis Y.M., Lazarev A.A., Malanova O.L.

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