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- W3141606575 abstract "The dynamics of phase transitions and hysteresis phenomena in materials with memory is 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 law 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." @default.
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- W3141606575 date "2002-04-01" @default.
- W3141606575 modified "2023-09-27" @default.
- W3141606575 title "Hysteresis Effects and Dynamics of Phase Transitions in Shape Memory Materials with Differential-Algebraic Models" @default.
- W3141606575 hasPublicationYear "2002" @default.
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