Abstract

Geometrically nonlinear behavior of rigid-plastic shells is studied. Consistent sets of relations regarding stress and deformations of solids at finite strains and displacements are recalled first. Simplifying assumptions concerning mostly the kinematics are then introduced to arrive at geometrically nonlinear theories of plastic shells. A classification of theories is given in sequence. Influence of large strains on the load surfaces is discussed. Post-yield behavior of shells is studied as the allowance for large displacements modifies the load deformation behavior and affects stability at the yield point. Examples concerning cylindrical shells in the post yield range are given.

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