Nonlinear response of shell structures: effects of plasticity modelling and large rotations

摘要

Many structural applications require nonlinear finite element analyses in order to assess response and capacity. Plastic deformations may be accounted for by means of thickness integration or stress resultants. The stress resultant model employed herein is based on Ilyushins' linear yield criterion for thin shells. The corners present with this criterion are circumvented by means of a simplification, hence, there is no need for multi-surface stress resultant updates. A backward Euler difference is employed in the stress resultant update, and a consistent tangent is used in the New- ton-Raphson iterations on the global equilibrium.