Subspace Variational Principle of Rods and Shells

Zheng Quan-shui; Yang De-pin; Song Gu-quan

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(11): 977-983

Zheng Quan-shui, Yang De-pin, Song Gu-quan. Subspace Variational Principle of Rods and Shells[J]. Applied Mathematics and Mechanics, 1992, 13(11): 977-983.

Citation:

Zheng Quan-shui, Yang De-pin, Song Gu-quan. Subspace Variational Principle of Rods and Shells[J]. Applied Mathematics and Mechanics, 1992, 13(11): 977-983.

Citation:

Zheng Quan-shui, Yang De-pin, Song Gu-quan. Subspace Variational Principle of Rods and Shells[J]. Applied Mathematics and Mechanics, 1992, 13(11): 977-983.

PDF( 424 KB)

Subspace Variational Principle of Rods and Shells

Jiangxi Polytechnic University, Nanchang

Received Date: 1991-09-20
Publish Date: 1992-11-15

Abstract

Abstract

This paper builds the general forms of subspace variational principles of rods and shells which are taken as the controlled equations of the constitutive theories developed front the three-dimensional(non-polar) continuum mechanics.And the constitutive equations of rods and shells using the principles are satisfactory.
- theory of rods and shells,
- subspace variational principle,
- constitutive equations

FullText(HTML)

References(8)

References

[1]	Antman,S.S.,The Theory of Rods,Encyclopedia of Physics(Ed.by S.Flügge)Springer-Verlag Vol.VIa/2(1972),641-754.
[2]	Naghdi P.M.,The Theory of Shells and Plates,Encyclopedia of Physics(Ed.byS.Flügge) Springer-Verlag vol.VIa/2(1972),425-640.
[3]	Zheng Quan-shui,Yang De-pin and Wang An-ping,Subspace variational principles and their applications for developing the constitutive equations of rods,plates and shells,Int.Conf.Comput.Engng.Sci.,Atlanta,Georgia U.S.A.(1988).
[4]	郑泉水、杨德品、宋固全,杆、壳理论在Hilbert空间的构造,应用数学和力学,13(5)(1992),429-442.
[5]	郭仲衡,《非线性弹性理论》,科学出版社(1980).
[6]	卢小抒、杨德品,基于子空间变分原理的深梁本构方程,江西工业大学学报,(2)(1988),1-11.
[7]	Cowper,G.R.,The shear coefficients in timOshenko's beam theory,J.Appl.Mech.,33(1966),335-340.
[8]	宋固全、杨德品、郑泉水,基于子空间变分原理的厚板本构方程,第七届华东固体力学学术会议论文集,《江西工业大学学报》专辑(1991).(待出版).