TY - JOUR
T1 - A multiple-quadrature eight-node hexahedral finite element for large deformation elastoplastic analysis
AU - Liu, Wing Kam
AU - Guo, Yong
AU - Tang, Sing
AU - Belytschko, Ted
N1 - Funding Information:
This research is supported by a Ford Motors Gift and a grant from National Science Foundations. * Corresponding author. Email: w-liu@nwu.edu. ’ Research Assistant, Civil Engineering, Northwestern University. 2 Corporate Technical Specialist, Ford Motor Company. ‘Walter P. Murphy Professor of Civil and Mechanical Engineering, Northwestern University.
PY - 1998/2/1
Y1 - 1998/2/1
N2 - 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 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, including sheet metal forming processes.
AB - 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 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, including sheet metal forming processes.
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U2 - 10.1016/S0045-7825(97)00106-0
DO - 10.1016/S0045-7825(97)00106-0
M3 - Article
AN - SCOPUS:0031999714
SN - 0045-7825
VL - 154
SP - 69
EP - 132
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 1-2
ER -