Improved implementation of an algorithm for non-linear isotropic/kinematic hardening in elastoplasticity

✍ Scribed by Mahnken, Rolf

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 311 KB
• Volume: 15
• Category: Article
• ISSN: 1069-8299
• DOI: 10.1002/(sici)1099-0887(199910)15:10<745::aid-cnm288>3.0.co;2-r

✦ Synopsis

In this article a modi®cation of an algorithm by Doghri (1993) for incorporating isotropic and kinematic hardening eects in von Mises elastoplasticity is proposed, whereby the discretized rate equations are reduced to a one-dimensional problem. The resulting relations for linearization of this problem and of the global equilibrium equations are obtained in a straightforward manner, which avoids inversion of secondorder tensors. A numerical example illustrates the second-order convergence rate typical for the Newton method.