A Finite Deformation Theory of Viscoplasticity Based on Overstress: Part II—Finite Element Implementation and Numerical Experiments

[+] Author and Article Information
I. Nishiguchi, T.-L. Sham, E. Krempl

Department of Mechanical Engineering, Aeronautical Engineering, and Mechanics, Rensselaer Polytechnic Institute, Troy, NY 12180-3590

J. Appl. Mech 57(3), 553-561 (Sep 01, 1990) (9 pages) doi:10.1115/1.2897058 History: Received August 15, 1988; Revised June 12, 1989; Online March 31, 2008


A one-step time integration method is developed for the finite deformation theory of viscoplasticity based on overstress (FVBO) described in Part I. This time integration method is based on a forward gradient approximation and it leads to explicit expressions of the tangent operators suitable for finite element implementation. Numerical experiments and closed-form solutions for a hypoelastic material in homogeneous deformation states are presented. The FVBO is applied to the modeling of second-order effects in torsion. The numerical results show that a modification of the Jaumann rate and second-order terms of the inelastic rate of deformation are necessary to model the observed effects.

Copyright © 1990 by The American Society of Mechanical Engineers
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