Dresden 2009 – scientific programme
Parts | Days | Selection | Search | Downloads | Help
MM: Fachverband Metall- und Materialphysik
MM 17: Mechanical Properties III
MM 17.3: Talk
Tuesday, March 24, 2009, 10:45–11:00, IFW D
Metals Plasticity: Interrelating Different Levels of Description — •Markus Hütter1, Miroslav Grmela2, and Hans Christian Öttinger1 — 1ETH Zürich, Department of Materials, Polymer Physics, CH-8093 Zürich, Switzerland — 2Ecole Polytechnique de Montreal, Montreal, Quebec, Canada H3C 3A7
The behaviour of crystalline metals under applied mechanical load can be described on different levels of description, namely, (i) the microscopic constituent particles, (ii) the dislocations on mesoscopic scales, and (iii) the macroscopic continuum. The most one benefits from these separate pieces of information once they are related to each other. In this contribution, we offer some insight in how to achieve these relations. First, coarse-graining is used to constrain the constitutive relation for plastic flow on the macroscopic scale based on the microscopic dynamics of the constituent particles. However, as this approach does not adequately represent the origin of plastic deformation, in a second step, the mesoscopic level of dislocations and their dynamics are taken into account in due detail by the following steps. A kinetic toy model is introduced that can be interpreted as modelling the dynamics of a single dislocation. In contrast to most approaches in literature, our kinetic toy model describes not only the irreversible (plastic) but also the reversible dynamics of the dislocations. Subsequently, we discuss how the effect of multiple dislocations and the interactions between them, that lead to strain hardening, can be taken into account. Finally, we comment on how our approaches of modelling dislocations can be related to the macroscopic description of elasto-viscoplasticity.