Abstract
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.
Original language | English (US) |
---|---|
Pages (from-to) | 69-132 |
Number of pages | 64 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 154 |
Issue number | 1-2 |
DOIs | |
State | Published - Feb 1 1998 |
Funding
This research is supported by a Ford Motors Gift and a grant from National Science Foundations. * Corresponding author. Email: [email protected]. ’ Research Assistant, Civil Engineering, Northwestern University. 2 Corporate Technical Specialist, Ford Motor Company. ‘Walter P. Murphy Professor of Civil and Mechanical Engineering, Northwestern University.
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- General Physics and Astronomy
- Computer Science Applications