Determination of limiting nonaxisymmetric thermoelastoplastic state of shells of revolution (Q2753408)

Stress-strain state of shells of revolution with variable in two direction thickness is considered. Geometrically nonlinear shell theory based on Kirchhoff-Love hypotheses is used. It is assumed that during quasistatic loading the shell elements are deformed along trajectories slightly different from straight lines. The resulting system of eight partial differential equations is solved by the method of successive approximations. The components of external load, all known and sought functions are represented as Fourier series in angular coordinate. As a result, the problem is reduced to a system of ordinary differential equations which is solved numerically. As a test example, a conical shell of varying thickness under non-axisymmetric load is considered. A plot of intensity of deformation is presented, and the effect of geometric nonlinearity on this characteristic is studied.