Generalized method of supplementary strain in the problems of beam torsion



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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.

作者简介

Y. Temis

Moscow State University of Mechanical Engineering (MAMI)

Email: tm@mami.ru
Dr.Eng., Prof.

A. Lazarev

Moscow State University of Mechanical Engineering (MAMI)

Email: tm@mami.ru

O. Malanova

Moscow State University of Mechanical Engineering (MAMI)

Email: tm@mami.ru

参考

  1. Temis J.M. Iterative method convergence for solving problems of deformation theory of plasticity. Computational methods in engineering advances & applications. ‑ World scientific. Singapore. vol. 2, 1992, p. 1276, 1281.
  2. Биргер И.А. Некоторые общие методы решения задач теории пластичности. – ПММ. т. 15, вып. 6, с. 765-770, 1951.
  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.
  6. Бреббия К., Теллес Ж., Вроубел Л. Методы граничных элементов. – М.:Мир, 1987.
  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.

版权所有 © Temis Y.M., Lazarev A.A., Malanova O.L., 2012

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