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Published September 8, 2005 | Supplemental Material + Published
Journal Article Open

Assessment of phenomenological models for viscosity of liquids based on nonequilibrium atomistic simulations of copper

Abstract

The shear viscosity of liquid copper is studied using nonequilibrium molecular-dynamics simulations under planar shear flow conditions. We examined variation of viscosity as function of shear rate at a range of pressures (ca. 0 - 40 GPa). We analyzed these results using eight different phenomenological models and find that the observed non-Newtonian behavior is best described by the Powell-Eyring (PE) model: eta(gamma)=(eta(0)-eta(infinity))sinh(-1)(tau gamma)/(tau gamma)+eta(infinity), where gamma is the shear rate. Here eta(0) (the zero-shear-rate viscosity) extracted from the PE fit is in excellent agreement with available experimental data. The relaxation time tau from the PE fit describes the shear response to an applied stress. This provides the framework for interpreting the shear flow phenomena in complex systems, such as liquid metal and amorphous metal alloys.

Additional Information

© 2005 American Institute of Physics. Received 23 July 2004; accepted 2 February 2005; published online 13 September 2005. We thank Professor Bill Johnson for many useful discussions. This research was funded by the DARPA ARO-SAM program (Leo Christodoulou and Bill Mullins) and by the NSF-MRSEC (Center for the Science and Engineering Materials, CSEM). The facilities of the Materials and Process Simulation Center are also supported by the Department of Energy in addition to the National Science Foundation, ARO-MURI, MURI-ONR, General Motors, Chevron Texaco, Seiko-Epson, Nissan Corp., and the Beckman Institute.

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Published - XUPjcp05.pdf

Supplemental Material - readme.txt

Supplemental Material - supplementary_material_for_jcp.pdf

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August 22, 2023
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