SAINT-VENANT PROBLEM FOR SOLIDS WITH HELICAL RHOMBOHEDRAL ANISOTROPY. TENSION-TORSION PROBLEMS

被引：0

作者：

Vatulyan, K. A. ^{[1
]}

Ustinov, Yu. A. ^{[1
]}

机构：

[1] S Fed Univ, Rostov Na Donu 344006, Russia

来源：

JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS | 2010年 / 51卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

Saint-Venant problem; stiffness; helical anisotropy; sweep method;

D O I：

10.1007/s10808-010-0017-y

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

By methods of homogeneous solutions and the spectral theory of operators, the construction of solutions of the Saint-Venant problems of tension-torsion of a cylindrical tube with helical anisotropy is reduced to integration of boundary-value problems for ordinary differential equations with variable coefficients. The solutions are constructed by analytical and numerical methods. Elements of the stiffness matrix and the stress-strain state are analyzed, depending on the problem parameter.

引用

页码：106 / 113

页数：8

共 35 条

[1] Saint-venant problem for solids with helical rhombohedral anisotropy. Tension-torsion problems
K. A. Vatulyan
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Journal of Applied Mechanics and Technical Physics, 2010, 51 : 106 - 113
[2] Saint-Venant problem for solids with helical anisotropy
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CONTINUUM MECHANICS AND THERMODYNAMICS, 2016, 28 (1-2) : 465 - 476
[3] Saint-Venant problem for solids with helical anisotropy
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[5] Solutions of the Saint-Venant problem for a cylinder with helical anisotropy
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[7] SAINT-VENANT PROBLEM FOR MICROSTRETCH ELASTIC SOLIDS
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[8] Saint-Venant problems for a bar with a screw anisotropy
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[9] Saint-Venant problems for a bar with a screw anisotropy
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[10] Homogeneous solutions and Saint-Venant problems for a helical spring
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