Engineering Transactions, 53, 4, pp. 415–423, 2005

Bounds for the Effective Shear Modulus

I. Ecsedi
University of Miskolc

This paper deals with the uniform torsion of nonhomogeneus elastic beams. The concept of the effective shear modulus is deduced from torsional rigidity. Upper and lower bounds are derived for the effective shear modulus. It is proven that the effective shear modulus of a compound beam is between the weighted arithmetic and harmonic means of shear moduli of the beam components.
Keywords: bounds; effective; shear modulus; nonhomogeneous; uniform torsion
Full Text: PDF


N.N. ARUTJUNJAN, V.L. ABRAMJAN, Torsion of elastic bodies [in Russian], Fiz.-Mat.-Lit. Nauka, Moscow 1963.

I. ECSEDI, Supplementary notices to the theory of uniform torsion of nonhomogenous beams [in Hungarian], Dissertation, University of Miskolc 1981.

S.G. LEKHNITSKII, Torsion of anisotropic and nonhomogeneous beams [in Russian], Fiz.-Mat.-Lit. Nauka, Moscow 1971.

V.A. LOMAKIN, Theory of nonhomogeneous elastic bodies [in Russian], University of Moscow, 1976.

L.E. MALYERN, Introduction to the mechanics of a continuous medium, Englewood Cliffs., N. Prentice Hali, New York 1969.

N. MUSKHELISHYILI, Some basic problems of the mathematical theory of elasticity, Grönigen (Holland), Noordoff 1953.

C. WEBER, W. GÜNTHER, Torsionstheorie, Akademie-Verlag, Berlin 1958.

DOI: 10.24423/engtrans.452.2005

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