Point Force Solution for a Transversely Isotropic Elastic Layer

Ding Haojiang; Liang Jian; Wang Yun

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(4): 297-305

Ding Haojiang, Liang Jian, Wang Yun. Point Force Solution for a Transversely Isotropic Elastic Layer[J]. Applied Mathematics and Mechanics, 1996, 17(4): 297-305.

Citation:

Ding Haojiang, Liang Jian, Wang Yun. Point Force Solution for a Transversely Isotropic Elastic Layer[J]. Applied Mathematics and Mechanics, 1996, 17(4): 297-305.

Citation:

Ding Haojiang, Liang Jian, Wang Yun. Point Force Solution for a Transversely Isotropic Elastic Layer[J]. Applied Mathematics and Mechanics, 1996, 17(4): 297-305.

PDF( 482 KB)

Point Force Solution for a Transversely Isotropic Elastic Layer

1.
Department of Mechanics, Zhejiang University, Hangzhou 310027, P. R. China;
2.
Department of Engineering Mechanics, Qinghua University, Beijing 100084, P. R. China

Received Date: 1995-03-20
Rev Recd Date: 1995-10-30
Publish Date: 1996-04-15

Abstract

Abstract

By introduction of transmitting matrices' technique for layered structure,mixed equations with stresses and displacements are derived from the basic equations of transversely isotropic elasticity.Then,using Fourier transformation and the general solutions in Zhou et al.^[7],the point force solution for transversely isotropic elastic layer is obtained and it can be degenerated to the corresponding solution of isotropic medium.In this paper,all equations are derived by the use of computer algebra software.
- transversely isotropy,
- elastic layer,
- point force solution,
- Fourier Transformation

FullText(HTML)

References(6)

References

[1]	胡海昌,在体积力作用下横观各向同性弹性体的平衡问题,物理学报,11(1955),219-230,
[2]	Y,C.Pan and T.W,C ho w,Point force solution for an infinite transversely isotropic solids,Journal of Applied Mechanics,43(1976),608-612,
[3]	Y,C,Pan and T,W,Chow,Green's function solution for semi-infinite transversely isotropic solids,International Journal of E ngineering Scienee,17(1979),545-551,
[4]	Y,C,Pan and T,W,Chow,Green's functions for two-phase transversely isotropic materials,Journal of Applied Mechanics,46(1979),551一555,
[5]	丁皓江、徐兴,横观各向同性弹性层的平衡,浙江大学学报,16(2)(1982),141-154,
[6]	F,G,Benitez and A,J,Rosakis,Three-dimensional elastostatics of a layer and layered medium,Journal of Elasticity,18(1)(1987),3-50,