Wk. Liu et al., A MULTIPLE-QUADRATURE 8-NODE HEXAHEDRAL FINITE-ELEMENT FOR LARGE-DEFORMATION ELASTOPLASTIC ANALYSIS, Computer methods in applied mechanics and engineering, 154(1-2), 1998, pp. 69-132
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 el
ement formulations are derived in the corotational coordinate system.
The use of consistent tangent operators for large deformation elastopl
asticity with nonlinear isotropic/kinematic hardening rules preserves
the quadratic rate of convergence of the Newton's iteration method in
static analysis. Test problems studied demonstrate the efficiency and
effectiveness of this element in solving a wide variety of problems, i
ncluding sheet metal forming processes.