COMPUTATIONAL ISSUES OF GRADIENT-EXTENDED CRYSTAL INELASTICITY
Paper in proceedings, 2016

. In this paper we discuss issues related to the theoretical as well as the computational format of gradient-extended crystal viscoplasticity. The so-called “primal” format uses the internal variables and the displacements as the primary unknown fields. An alternative format is coined the “semi-dual format”, which in addition includes microstresses, thereby defining a mixed variational problem. We compare the primal and semi-dual variational formats in terms of pros and cons from a modeling as well as a numerical viewpoint. We perform a set of numerical benchmarks to investigate the rate of convergence for errors in different norms.

Primal formulation

Dual formulation

Crystal Plasticity

Author

Kristoffer Carlsson

Chalmers, Applied Mechanics, Material and Computational Mechanics

Magnus Ekh

Chalmers, Applied Mechanics, Material and Computational Mechanics

Kenneth Runesson

Chalmers, Applied Mechanics, Material and Computational Mechanics

Fredrik Larsson

Chalmers, Applied Mechanics, Material and Computational Mechanics

NSCM, 26 - 28 October, Göteborg, 2016 4 page extended abstract

Subject Categories

Metallurgy and Metallic Materials

Areas of Advance

Materials Science

More information

Created

10/8/2017