关于聖维那问题的假设

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

On the Assumption of Saint-Venant’s Problem

摘要: 对侧面不全是圆柱面的弹性柱体,本文在∂^mσ_z/∂z^m=0(m≥2)的假定之下,唯一地得到了圣维那问题的解答.

Abstract: In this paper, it is proved that Saint-Venant's solutions can be uniquely obtained from the following assumption: ∂^mσ_z/∂z^m=0(m≥2) where m(≥2) is an arbitrary integer, if some part of the side face of a cylinder is not the circular cylinder surface.

[1]	Saint-Venant A.J.C.B.,Memoire sur la torsion des presmes, Paris Memoires des Savanis Etrangers,14 (1856),282-300.
[2]	Clebsch,A.,Théorie de l'élasticité des corps solides, Paris(1883).
[3]	Voigt,W.,Theoretische studien über die Elasticitätsverhaltnisse der Krystalle.Abh.Ges.Wiss.Göttingen 34(1887).
[4]	Love,A.E.H.,A Treatise on the Mathematical Theory of Elasticity,4th Ed.,Cambridge(1927).Ch XVT.327-328.
[5]	Goodier,J.N.,The characteristic property of Saint-Venant's solutions for the torsion and bending of an elastic cylinder,Phil.Mag.,23,7(1937),186-190.
[6]	钱伟长,圣维那扭转问题的物理假设,物理学报,(1953), 215-220.
[7]	王敏中,柱体平衡圣维那解的一个弱假设,力学学报特刊,(1981),7.75-280.
[8]	R.柯朗、D.希尔伯特著,熊振翔、杨应辰译,《数学物理方法》,科学出版社,2(1981),30-42.