On Elastoplastic Torsion of a Rod with Multiply Connected Cross-Section

被引：7

作者：

Senashov, Sergey, I ^{[1
]}

Kondrin, Alexander, V ^{[1
]}

Cherepanova, Olga N. ^{[2
]}

机构：

[1] Siberian State Aerosp Univ, Krasnoyarsk 660014, Russia

[2] Siberian Fed Univ, Inst Math & Comp Sci, Svobodny 79, Krasnoyarsk 660041, Russia

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2015年 / 8卷 / 03期

关键词：

conservation laws; exact solution; unknown boundary; torsion problem of straight rod; multiply connected cross-section;

D O I：

10.17516/1997-1397-2015-8-3-343-351

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The classical problem of torsion of a straight rod with convex contour of the cross-section is considered in the paper. The cross-section is multiply connected domain. It is assumed that the region of plastic deformation occupies the whole outer boundary. To solve the problem the conservation laws are used. In the case when the boundary is piecewise smooth the solution is found in explicit form. Computer programs that allow one to find the elastic-plastic boundary in a rod under torsion with any precision are developed. Examples of calculation of elastic-plastic boundaries from presented analytical formulas are given. The obtained results are in good agreement in comparison with known solutions and experimental data.

引用

页码：343 / 351

页数：9