Plane Nonaxisymmetric Deformation of a Viscoelastic Cylinder with Consideration of Its Physical and Geometric Nonlinearity / D.L. Bykov and S.N. Golikov // Vestn. Mosk. Univ., Matem. Mekhan. 2009. № 6. P. 41-45 [Moscow Univ. Mech. Bulletin. Vol. 64, No 6, 2009. P. 143-147.]
The nonaxisymmetric plane problem of the nonlinear theory of viscoelasticity is solved for a cylinder reinforced by an elastic circular shell. The cylinder has an internal cut resembling a Maltese cross in shape. The identification of the nonlinear endochronous theory of aging viscoelastic materials is conducted by a genetic algorithm method on the basis a nonmonotonic experimental stress-strain dependence. Some numerical results obtained for the stress-strain state of this cylinder under the action of internal pressure are discussed with consideration of the above physical nonlinearity and the finite logarithmic strains.
Key words: viscoelasticity, genetic algorithm, logarithmic strain measure,
endochronous theory.