非均匀切向荷载下弹性半空间二阶效应的实例计算<sup>*</sup>

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非均匀切向荷载下弹性半空间二阶效应的实例计算^*

基金项目: * 湖南省自然科学基金

1.
Department of Civil Engineering, Central South University of Technology, Changsha, Hu'nan 410083, P. R. China;
2.
Department of Mathematics and Statistics, University of Windsor, Windsor Ontario Canada

摘要: 继文[1],本文详细讨论了一个实例,对二阶弹性材料在Z方向的位移和应力作了数值计算,我们发现,二阶效应使Z方向位移减小而使应力t_rz的值在荷载作用圆内减小而在圆外却增加。
- 弹性半空间 /
- 切向荷载 /
- 二阶弹性效应 /
- 积分变换
Abstract: This paper is a continuation of [1]. An example is discussed in detail to illustrate the second order effects. Numerical calculations for the second order elastic material for the z-direction displacement and the stress t_rz, are carried out. It is found that the second order effect is to reduce z-direction displacement and to decrease t_rz inside the circle but to increase its value outside the circle.
- elastic half-space /
- shear load /
- second order elasticity effects /
- integral transform

[1]	刘又文、郭建林,非均匀切向荷载下弹性半空间二阶效应的一般解答,应用数学和力学,18(4)(1997), 341-355.
[2]	F.D.Murnaghan,Finite deformation of an elastic solid,Amer.J Math.,59 (1937),235.
[3]	A.Foux,An experimental investigation of the poynting effect,(c.f Second-Order Effcts in Elasticity,Plasticity and Fluid Dynamics,International Symposium,Haifa,Israel,April 23~27,(1962).
[4]	C.A.Truesdell and W.Noll,The nonlinear field theories of mechanics,Handbuch der Physik,Ed.S.Flugge,Vol.Ⅲ/3,Springer-Verlag,Berlin (1965).