COMPUTATIONAL ISSUES OF GRADIENT-EXTENDED CRYSTAL INELASTICITY
Paper i proceeding, 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

Författare

Kristoffer Carlsson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Magnus Ekh

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Kenneth Runesson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Fredrik Larsson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

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

Ämneskategorier

Metallurgi och metalliska material

Styrkeområden

Materialvetenskap