Va. Merzlyakov et Az. Galishin, Analysis of the thermoelastoplastic nonaxisymmetric stress-strain state oflaminated circular cylindrical shells, INT AP MECH, 36(2), 2000, pp. 241-246
A technique for analysis of the nonaxisymmetric thermoelastoplastic stress-
strain state of laminated circular cylindrical shells is developed. It is a
ssumed that the layers in a laminated package do not slip and separate rela
tive to each other. The problem is solved using the geometrically linear th
eory of shells that is based on the Kirchhoff-Love hypotheses. The equation
s of thermoplasticity are written in the form of the method of additional s
trains. The order of the obtained system of partial differential equations
is reduced with the help of trigonometric series in the cyclic coordinate.
The systems of ordinary differential equations thus obtained are solved by
Godunov's method of discrete orthogonalization. As an example, the nonaxisy
mmetric thermoelastoplastic stress-strain state of a two-layer cylindrical
shell is considered.