Az. Galishin, Determination of the axisymmetric geometrically nonlinear thermoviscoelastoplastic state of laminated medium-thickness shells, INT AP MECH, 37(2), 2001, pp. 271-278
A method is developed to determine the axisymmetric geometrically nonlinear
thermoelastoviscoplastic stress-strain state of branched laminated medium-
thickness shells of revolution. The method is based on the hypotheses of a
rectilinear element for the whole set of layers. The shells are subject to
loads that cause a meridional stress state and torsion. They can consist of
isotropic layers, which deform beyond the elastic limit, and elastic ortho
tropic layers. The relations of thermoviscoplastic theory, which describe s
imple processes of loading, are employed as the equations of state for the
isotropic layers. The solution of the problem is reduced to numerical integ
ration of systems of differential equations. The geometrically nonlinear el
astoplastic state of a two-layer corrugated shell of medium thickness is ca
lculated as an example.