An efficient formulation of integration algorithms for elastoplastic shell analysis based on layered finite element approach

摘要: For geometrically and physically nonlinear analyses of shell structures a computational model employing Reissner-Mindlin type kinematic assumption, layered finite element approach closest-point projection return mapping algorithm, completely formulated in tensor notation is presented. As result consistent linearization, tangent modulus derived, expressed also components. The applied constitutive includes von Mises yield criterion linear isotropic as well hardening. All stress deviator components are employed the formulation. material implemented into four-noded isoparametric assumed strain element, which permits simulation geometric responses considering rotations. proposed numerical concept unconditionally stable allows large time steps, examples illustrate. Further, simulations demonstrate expected quadratic convergence global iterative technique.