杆、壳子空间变分原理

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Subspace Variational Principle of Rods and Shells

摘要: 本文建立了杆、壳的子空间变分原理的一般形式,将它作为杆、壳的本构近似理论中的控制方程.并由此得出杆、壳的本构方程,所得结果令人满意.
- 杆、壳理论 /
- 子空间变分原理 /
- 本构方程
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

[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).

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