The Illustration Calculations of Second Order Effects in Elastic Half-Space Acted upon By A Non-Uniform Shear Load

Liu Youwen; Guo Jianlin

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Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(6): 523-530

Liu Youwen, Guo Jianlin. The Illustration Calculations of Second Order Effects in Elastic Half-Space Acted upon By A Non-Uniform Shear Load[J]. Applied Mathematics and Mechanics, 1997, 18(6): 523-530.

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The Illustration Calculations of Second Order Effects in Elastic Half-Space Acted upon By A Non-Uniform Shear Load

Liu Youwen¹,
Guo Jianlin²

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

Received Date: 1995-09-11
Rev Recd Date: 1996-09-20
Publish Date: 1997-06-15

Abstract

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

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References(4)

References

[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).