The Torsion of a Nonhomogeneous Visco-Elastic Bar of Elliptic Cross-Section
An exact solution for a torsion problem of a nonhomogeneous visco-elastic bar of elliptic cross-section is presented. A method based on elastic-viscoelastic analogy is used to obtain the stress distribution in the cross-section of the bar. The numerical results show that the nonhomogeneity reduces the stress as compared to the homogeneous one.
A. M. EL-KARAMANY, On the problems of the nonhomogeneous visco-elastic bodies, Mekhanika Polimerov, 5, 826-831, Riga, USSR 1978.
A. M. EL-KARAMANY, Deformation of nonhomogeneous visco-elastic hollow sphere, Rozpr. Inżyn. [Engin. Trans.], 31, 267-277, 1983.
A. A. ILIOUSHIN, The approximation method of calculating the constructions by linear thermal visco-elastic theory, Mechanika Polimerov, 2, 210-221, Riga USSR 1968.
M. E. GURTIN and E. STERNBERG, On the linear theory of viscoelasticity, Arch. Ration. Mech. Anal., 11, 291, 1962.
V. A. DITKIN and A. P. PRUDNIKOV, Integral transforms and operational calculus, Pergamon Press, Oxford – New York 1965.
M. A. KOLTUNOV, Creeping and relaxation, Moscow 1976.
V. A. LOMAKIN, The theory of elasticity of the nonhomogeneous bodies, Moscow 1976.
M. J. LEITMAN and G. M. FISHER, The linear theory of visco-elasticity, Handbuch der Physik, vol. VI a/3 sect. 31, 68-69, Springer, Berlin 1973.
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