ELASTIC PLASTIC BEHAVIOR OF A SIMPLY SUPPORTED CIRCULAR PLATE SUBJECTED TO STEADY TRANSVERSE PRESSURE AND CYCLIC LINEAR RADIAL TEMPERATURE-VARIATION

The behavior of a von Mises elastic-perfectly plastic material plate is examined using the finite-element method. The elements used allow general axisymmetric deformation to occur. Numerical solutions are obtained for the shakedown boundary and the two ratchetting modes. Also an upper-bound shakedown boundary is derived using the extended shakedown theory and some approximation expressions are derived for the incremental deformation which occurs at the periphery of the plate in the localized ratchetting mode.