Abstract
Symmetric deformation of a non-homogeneous visco-elastic hollow sphere subjected to internal and external pressures is investigated. The problem is solved by the elastic-viscoelastic analogy. An exact solution is obtained. A numerical example is given. The nonhomogeneity is shown to decrease he maximum stresses.References
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A. A. ILIOUSHIN, The approximation method of calculating the constructers by linear thermal disco-elastic theory, Mekhanika Polimerov, 2, 210-221, Riga, USSR, 1968.
M. E. GURTIN and E. STERNBERG, On the linear theory of visco-elasticity, Arch. Ration. Mech. Anal., 11. 291. 1962.
V. A. DITKIN and. A. P. PRODNIKOV, Internal transforms and operational calculus, Pergamon Press, Oxford-New York 1965.
V. A. LOMAKIN, The theory of elasticity of the non-homogeneous bodies, Moscow, 1976.
R. M. CHRISTENSEN, Theory of viscoelasticity, an introduction, Academic Press, New YorkLondon, 1971.
