Discrete Disclination Dynamics in comparison to Discrete Dislocation Dynamics
Steffen Brinckmann (Max-Planck Institut Düsseldorf), Benjamin Reinholz (), Alexander Hartmaier (ICAMS, Ruhr-University Bochum), Peter Mullner (Boise State University)
Discrete Dislocation Plasticity
Tue 2:40 - 4:00
RI Hall 108
Magnetic shape memory alloys (MSMA) have a large potential for actuators and sensors. The shape memory transition relies on a diffusion-less phase transition between different low-temperature martensite variants. Achieving a high magnetic field induced strain requires an efficient microstructure and a thorough understanding of the mechanisms. Discrete Dislocation Dynamics is an established computational method in materials science. This contribution focuses on a micromechanical Discrete Disclination Dynamics model of phase variant evolution in MSMA. Disclinations and dislocations share many similarities. Both entities can be described in two-dimensions by point objects that move in space and analytical expressions exist for stresses and displacements in infinite space for both objects. Moreover, the magnitude of both entities is characterized by a vector. The present presentation gives the theoretical background to disclination dynamics, the comparison of dislocations and disclinations, and this contribution introduces an analytical-numerical framework to eliminate the artificial stresses in quasi-periodic microstructures. Moreover, that approach can be used to study a wide variety of boundary conditions and for arbitrary shaped domains.