Some Problems for Viscoelastic Rods

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1985 > 6(8): 761-768

Zou Feng-wu, Liu Xun-ming. Some Problems for Viscoelastic Rods[J]. Applied Mathematics and Mechanics, 1985, 6(8): 761-768.

Citation:

Zou Feng-wu, Liu Xun-ming. Some Problems for Viscoelastic Rods[J]. Applied Mathematics and Mechanics, 1985, 6(8): 761-768.

Citation:

Zou Feng-wu, Liu Xun-ming. Some Problems for Viscoelastic Rods[J]. Applied Mathematics and Mechanics, 1985, 6(8): 761-768.

Abstract

Using an approach proposed in [3], we consider some linear and nonlinear problems for viscoelastic rods. Results in [1] for linear case are affirmed more elamentarily and simply here. We also treat linear problem with damping term and nonlinear problem with power nonlinearity pu³. Some new results are established.

[1]	Gurtin,M,E,V.J,Mizel and D,W,Reynolds,On nontrivial solutions for a compressed linear viscoelastic rod,J.Appl,Mech.,49(1982),245-246.
[2]	Gurtin,M,E.,Some questions and open problems in continuous mechanics and population dynamics,J.Diff,Eq.,48,2(1983),293-312.
[3]	柳训明、陈庆益,粘弹性杆的非线性固有值问题,华中工学院学报,2(1985).
[4]	柳训明、陈庆益,粘弹性杆问题的另一解法,华中工学院学报,2(1985).
[5]	Dist}fano,J,N.,Creep-buckling of slender columns,J.of Structural Division,Proceedings of ASCE,91(1965),127-150.
[6]	徐桂芳,《积分表》(公式539).
[7]	斯米尔诺夫,稼高等数学教程》,人民教育出版社,第三卷,第三分册(1979),312.
[8]	刘斯铁尔尼克,《泛函分析概要》,科学出版社(1955),46.