表面承受常静水载荷下弹性半无限体的表面稳定性分析

曹光中; 徐志洪

表面承受常静水载荷下弹性半无限体的表面稳定性分析

华东工学院

计量
- 文章访问数: 2166
- HTML全文浏览量: 174
- PDF下载量: 481
- 被引次数: 0
出版历程
- 收稿日期: 1988-03-30
- 刊出日期: 1992-01-15

Surface Instability of Elastic Half Spaces with Hydrostatic Loading on Their Surfaces

East China Institute of Technology, Nanjing

摘要

摘要: 本文应用小变形叠加到大变形上的分析方法,考察了表面受常静水载荷作用下可压缩和不可压缩弹性半无限体的表面平面应变失稳问题,得到了各自的临界屈曲条件的一般形式.在此基础上.分别对由Blatz-Ko材料和谐和材料所组成的可压缩弹性半无限体以及由Mooney材料所组成的不可压缩弹性半无限体,详细讨论了表面所受的静水压力对临界屈曲条件的影响.
- 半无限体 /
- 有限变形 /
- 弹性屈曲 /
- 流体静压力 /
- 平面应变
Abstract: In this paper,the plane-strain buckling of compressible and incompressible elastic half-spaces,whose surfaces are loaded by constant hydrostatic pressures,is studied by using a small-deformation-superposed-on-large-deformation analysis,and the buckling condition for each case is obtained.For Blatz-Ko and harmonic compressible materials as well as Mooney incompressible material,the influence of the surface hydrostatic pressure on the critical buckling condition is discussed in detail.
- semi-infinite body /
- finite deformation /
- elastic buckling /
- hydrostatic pressure /
- plane strain

HTML全文

参考文献(14)

[1]	Blot,M.A.,Mechanics oflncremental Deformations,Wiley(1965).
[2]	Brunelle,E.J.,Surface instability due to initial compressive stress,Bulletin of the Seismological Society of America,63.6(1973),1885-1893.
[3]	Novozhilov,V.V.,Nonlinear Theory of Elasticity,Graylock,(1953).
[4]	Usmani,S.A.and M.F.Beatty,On the surface instability of a highly elastic half space,J.Elasticity,4,4(1974),249-263.
[5]	Dorris,J.F.and S.Nemat-Nasser,Instability of a layer on a half space,J.Appl.Mech.,47(1980),304-312.
[6]	Wu,C.H.and G.Z.Cao,Buckling of an.axially compressed incompressible half space,J.Struct.Mech.,11,1(1983),37-48.
[7]	曹光中,不可压缩弹性半空间的表面不稳定性—轴对称问题的分析,华东工程学院学报,(1)(1984),1-13.
[8]	曹光中,关于弹性半无限休表面的稳定性,应用数学和力学,7(10)(1998),937-945.
[9]	曹光中,双向受载不可压缩弹性半无限体表面的稳定性,固体力学学报,(3)(1988),272-277.
[10]	Blatze,P.J.and W.L.Ko,Application of finite elastic theory to the deformation of rubbery materials,Trans.Soc.Rheology,6(1962),223-251.
[11]	Wesolowski,Z.,Stability in some cases of tension in the light of the theory of finite strain,Arch.Mech.Stos.,16,5(1964),875-900.
[12]	Hao Tian-hu,The necking of the rectangular block With surface imperfection,Mech.Research Comm.,13,6(1986),309-315.
[13]	Wu,C.H.,and G.Z.Cao,Buckling problems in finite plane elasticity-harmonic materials,Quart.Appl.,Math.41,4(1984),461-474.
[14]	Wu,C.H.,Plane-strain buckling of cracks in incompressible elastic solids,J.Elasticity,10,2(1980),163-177.