A new formulation of numerical algorithms for modelling of elastoplastic cyclic response of shell-like structures

An efficient computational strategy for modelling of cyclic elastoplastic deformation of shell structures employing the Reissner–Mindlin type kinematic model has been proposed. A realistic highly nonlinear hardening model in multi-component form has been applied. The closest point projection algorithm, completely formulated in tensor notation, is presented. A consistent tangent modulus is derived and its symmetrized form preserves the quadratic rate of asymptotic convergence of the global iteration schemes, as the numerical examples illustrate. The integration algorithm has been implemented into the layered assumed strain isoparametric finite element, which also permits the simulation of geometrical nonlinearity including finite rotations.