Journal of Theoretical
and Applied Mechanics

22, 3-4, pp. 525-538, Warsaw 1984

Analiza stateczności procesu dużych odkształceń sprężystych powłoki cylindrycznej przy dwukierunkowym rozciąganiu

Jan Bielski, Jacek Skrzypek

Process of biaxial tension of thin cylindrical shell loaded by the axial force and internal pressure has been analysed. The material has been described by Hooke's law generalized for the logarithmic strains and true stresses. The relations between forces and geometrical quantities have been determined for the different variants of control of the process. In the case of force-controlled process the points of the loss of absolute stability have been found on the basis of second-order work criterion. Curves of maximal carrying capacity and bifurcation points also have been determined.