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Type: Journal article
Title: Phase transitions in shape memory alloys with hyperbolic heat conduction and differential-algebraic models
Author: Melnik, R.
Roberts, A.
Thomas, K.
Citation: Computational Mechanics, 2002; 29(1):16-26
Publisher: Springer
Issue Date: 2002
ISSN: 0178-7675
Statement of
R. V. N. Melnik, A. J. Roberts, K. A. Thomas
Abstract: The dynamics of phase transitions and hysteresis phenomena in materials with memory are described by a strongly nonlinear coupled system of partial differential equations which, in its generality, can be solved only numerically. Following principles of extended thermodynamics, in this paper we construct a new model for the description of this dynamics based on the Cattaneo-Vernotte law for heat conduction. Models based on the Fourier low follow from this general consideration as special cases. We develop a general procedure for the solution of the resulting systems by their reduction to differential-algebraic systems. Finally, a computational code for the numerical implementation of this procedure is explained in detail, and representative numerical examples are given.
Keywords: Phase transitions
Shape memory alloys
Hyperbolic heat conduction
Description: © Springer
DOI: 10.1007/s00466-002-0311-5
Appears in Collections:Aurora harvest
Mathematical Sciences publications

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