Engineering Transactions, 26, 3, pp. 381-395, 1978

Misfitting Elliptic Elastic Inhomogeneity Problem in Perfectly Anisotropic Media

R.R. Bhargava
Department of Mathematics, Indian Institute of Technology, Bombay
India

H.S. Saxena
Department of Mathematics, Indian Institute of Technology, Bombay
India

The problem considered in this paper is that of a misfitting elliptic inclusion in an infinite elastic region. The stresses develop because of the misfit. The inclusion and the outside material, called the matrix, are both of homogeneous and perfectly anisotropic materials. Further, the elastic properties of the two materials may differ. The complex variable technique is employed to evaluate two sets of complex potential functions {(jk): k = 1, 2, 3}, one for the inhomogeneity and another for the outside region, which give the elastic field every where.

Full Text: PDF

References

N. F. MOTT and F.R. N. NABARRO, Proc. Phys. Soc., 52, 90, 1940.

J. FRANKEL, Kinetic theory of liquids, Oxford 1946.

J. D. ESHELBY, Proc. Roy. Soc. London, Ser. A, 241, 376, 1957; 252, 561, 1959.

M.A. JASWON and R. D. BHARGAWA, Proc. Camb. Phil. Soc., 57, 669, 1961.

R. D. BHARGAVA and H. C. RADHAKRISHNA, Proc. Camb. Phil. Soc., 59, 811, 1963.

R. D. BHARGAVA and H. C. RADHAKRISHNA, Proc. Camb. Phil. Soc., 59, 821, 1963.

R. HILL, J. Mech. Physics Solids, 13, 89, 1965.

W. T. CHEN, Quart, Journ. Mech. and Applied Maths., 20, 307, 1967.

R. D. BHARGAVA and H. S. SAXENA, Int. J. of Engng. Sci., 12, 245, 1974.

S. G. LEKHNITSKI, Theory of elasticity of an anisotropic elastic body, Holden Day, San Francisco 1963.

W. PRAGER and P.G. HODGE, Theory of perfectly plastic solids, 1954.

R. BECHMANN and S. AYERS, Proc. Phys. Soc., B 67, 422, London 1954.

R. V. G. SUNDARA RAO, Proc. Indian Acad. Science, A 30, 302, 1949.




Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland