Abstract

Elastic and plastic deformations of a two-dimensional (2D) dusty plasma crystal under shear stresses are investigated using a numerical simulation. Our simulation mimics experiments that start with a crystal that is then manipulated by a pair of laser beams separated by a gap. In a pair of rectangular regions, we apply two equal but oppositely directed forces, to induce a shear deformation in the gap between. These external forces are increased incrementally to examine the elastic behavior, plasticity, and liquid flows. In the low-force elastic limit, a measurement of the shear modulus is obtained, which agrees with a theoretical value based on a sound speed. For larger forces resulting in plastic deformation, we determine the yield stress, which is found to agree with a common theoretical model for the critical yield stress, after accounting for the dimensionality for 2D.

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