Research Group of Prof. Dr. M. Griebel
Institute for Numerical Simulation
[1] M. Arndt. Upscaling technique for the atomistic-continuum simulation of shape memory alloys with the EAM potential. In Proceedings of the Sixth World Congress on Computational Mechanics (WCCM VI), Beijing, China. Tsinghua University Press & Springer, 2004.
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In this paper the upscaling process for the passage from atomistic to continuum mechanical models of shape memory alloys is considered. First the modeling on the atomistic level is reviewed and a numerical simulation of a Ni64Al36 alloy is presented. Then the upscaling to an intermediate continuum mechanical model is performed by means of the inner expansion technique. This model is further approximated to extract the essential properties. The resulting continuum mechanical model is finally used for the numerical simulation of a SMA-based two-way micro-actuator.