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Study of Transversely Isotropic and Layered Half – Space to Surface Loads

Published on May 2012 by Devender
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National Workshop-Cum-Conference on Recent Trends in Mathematics and Computing 2011
Foundation of Computer Science USA
RTMC - Number 4
May 2012
Authors: Devender
afd191ee-438d-499b-b6cd-fc1bcb284a85

Devender . Study of Transversely Isotropic and Layered Half – Space to Surface Loads. National Workshop-Cum-Conference on Recent Trends in Mathematics and Computing 2011. RTMC, 4 (May 2012), 36-40.

@article{
author = { Devender },
title = { Study of Transversely Isotropic and Layered Half – Space to Surface Loads },
journal = { National Workshop-Cum-Conference on Recent Trends in Mathematics and Computing 2011 },
issue_date = { May 2012 },
volume = { RTMC },
number = { 4 },
month = { May },
year = { 2012 },
issn = 0975-8887,
pages = { 36-40 },
numpages = 5,
url = { /proceedings/rtmc/number4/6649-1032/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 National Workshop-Cum-Conference on Recent Trends in Mathematics and Computing 2011
%A Devender
%T Study of Transversely Isotropic and Layered Half – Space to Surface Loads
%J National Workshop-Cum-Conference on Recent Trends in Mathematics and Computing 2011
%@ 0975-8887
%V RTMC
%N 4
%P 36-40
%D 2012
%I International Journal of Computer Applications
Abstract

In this paper the method of vector functions is introduced in association with the propagator matrix method to solve the deformation of transversely isotropic and layered elastic materials under surface loads. It is shown that the equilibrium equations are reduced to the two sets of simultaneously linear differential equations which are called type I and type II. The general solutions and the layer matrices are then obtained from the two sets of differential equations.

References
  1. Hu H. C. , 1953. On the 3-D problems of the theory of elasticity of a transversely isotropic body. Acta. Phys. Sin. , 9: 131-147(in Chinese, with English abstract).
  2. Hu H. C. , 1954. On the equilibrium of a transversely isotropic elastic space. Acta. Phys. Sin. , 10: 39- 258( in Chinese, with English abstract).
  3. Singh S. J. , 1970. Static deformation of a multilayered half – space by internal sources J. Geophys. Res. , 75: 3257-3263.
  4. Singh S. J. , 1986 Static deformation of a transversely isotropic multilayered half – space by surface loads. Phys. Earth Planet internal, 42: 263-273.
  5. Ross, S. L. , 1984. Differential equations. John Wiley and Sons. , Edition 3 : 782pp.
  6. Ulitko, A. F. , 1979. Method of special vector functions in 3-D elasticity. Naukova Dumka. Kiev. 264pp (in Russian).
  7. Small, J. C. and Booker, J. R. , 1984. Finite layer analysis of layered elastic materials using a flexibility approach. Part-I Strip loadings. Int. J. Numer. Methods Eng. , 20: 1025-1037.
  8. Small, J. C. and Booker, J. R. , 1986. Finite layer analysis of layered elastic materials using a flexibility approach. Part-2 Circular & rectangular loadings. Int. J. Numer. Methods Eng. , 23: 959-978
  9. Gilbert, F. & Backns, G. , 1966. Propagator matrices in elastic wave and vibration problems. Geophysics,31:326-332.
  10. Lekhnitskii, S. G. , 1963. Theorey of elasticity of an an isotropic elastic body, Holden-Day, San Francisco, CA, 404pp.
Index Terms

Computer Science
Information Sciences

Keywords

Propagator Matrix Isotropic Equilibrium