publication . Article . 2015

Construction of elasto-plastic boundaries using conservation laws

Senashov, S.; Filyushina, E.; Gomonova, O.;
Open Access Russian
  • Published: 01 Jan 2015 Journal: Вестник Сибирского государственного аэрокосмического университета им. академика М.Ф. Решетнева (issn: 1816-9724, Copyright policy)
  • Publisher: Сибирский государственный аэрокосмический университет имени академика М.Ф. Решетнева
Abstract
The solution of elasto-plastic problems is one of the most complicated and actual problems of solid mechanics. Traditionally, these problems are solved by the methods of complex analysis, calculus of variations or semi-inverse methods. Unfortunately, all these methods can be applied to a limited number of problems only. In this paper, a technique of conservation laws is used. This technique allows constructing analytical formulas to determine the elasto-plastic boundary for a wide class of problems. As a result, the elasto-plastic boundaries were constructed for twisted straight rods with cross sections limited by piecewise smooth contour, for flexible consoles ...
Subjects
free text keywords: ЗАКОНЫ СОХРАНЕНИЯ, УПРУГО-ПЛАСТИЧЕСКАЯ ГРАНИЦА, ТОЧНОЕ РЕШЕНИЕ, УПРУГОСТЬ, ПЛАСТИЧНОСТЬ, УПРУГО-ПЛАСТИЧНОСТЬ
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