A multiple-quadrature eight-node hexahedral finite element for large deformation elastoplastic analysis Original Research Article

A multiple-quadrature underintegrated hexahedral finite element, which is free of volumetric and shear locking, and has no spurious singular modes, is described and implemented for nonlinear analysis. Finite element formulations are derived in the corotational coordinate system. The use of consistent tangent operators for large deformation elastoplasticity with nonlinear isotropic/kinematic hardening rules preserves the quadratic rate of convergence of the Newtonʹs iteration method in static analysis. Test problems studied demonstrate the efficiency and effectiveness of this element in solving a wide variety of problems, including sheet metal forming processes.