Phase-Field Modeling of Solidification Under Stress

Published

January 2, 2006

Author(s)

Julia Slutsker, K Thornton, Alexander Roytburd, James A. Warren, Geoffrey B. McFadden, P W. Voorhees

Abstract

A phase-field model that includes the stress field during non-isothermal phase transformation of a single-vomponent system has been developed. The model has been applied to the solidification and melting of confined spherical volumes, where sharp interface solutions can be obtained and compared with the results of the phase-field simulations. Numerical solutions for a spherically-symmetric geometry have been obtained. The analysisof these equilibrium states for the phase-field model allows us to estimate the value of interface energy in the model, which can then compared to the analogous calculation of the energy of planar liquid-solid interface. It isalso demonstrated that the modeling of the liquid as a coherent solid with zero shear modulus is realistic by comparison of the long-range stress fields in phase-field calculations with those calculated using sharp interface models of either a coherent or relaxed liquid-solid interface. The model can be applied to simulate the process of writing to electronic media that exploits an amorphous-to-crystalline phase change for recording information.

Citation

Physical Review B (Condensed Matter and Materials Physics)

Volume

74

Pub Type

Journals

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Keywords

amorphous-to-crystalline transformation, phase-field model, solidification, stress-free strain, surface energy, surface stress

Citation

Slutsker, J. , Thornton, K. , Roytburd, A. , Warren, J. , McFadden, G. and Voorhees, P. (2006), Phase-Field Modeling of Solidification Under Stress, Physical Review B (Condensed Matter and Materials Physics), [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=150915 (Accessed April 28, 2024)