Abstract
Dynamics of martensitic phase transition fronts in solids is determined by the driving force (a material force acting at the phase boundary). Additional constitutive information needed to describe such a dynamics is introduced by means of non-equilibrium jump conditions at the phase boundary. The relation for the driving force is also used for the modeling of the entropy production at the phase boundary.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abeyaratne, R., Knowles, J.K., 1990. On the driving traction acting on a surface of strain discontinuity in a continuum. J. Mech. Phys. Solids 38, 345–360.
Abeyaratne, R., Knowles, J.K., 1993. A continuum model of a thermoelastic solid capable of undergoing phase transitions. J. Mech. Phys. Solids 41, 541–571.
Berezovski, A., Engelbrecht, J., Maugin, G.A., 2000. Thermoelastic wave propagation in inhomogeneous media, Arch. Appl. Mech. 70, 694–706.
Berezovski, A., Engelbrecht, J., Maugin, G.A., 2002. A thermody-namic approach to modeling of stress-induced phase-transition front propagation in solids. In: Sun, Q.P., (ed.), Mechanics of Martensitic Phase Transformation in Solids, Kluwer, Dordrecht, pp. 19–26.
Berezovski, A., Maugin, G.A., 2001. Simulation of thermoelastic wave propagation by means of a composite wave-propagation algorithm. J. Comp. Physics 168, 249–264.
Berezovski, A., Maugin, G.A., 2002a. Thermoelastic wave and front propagation. J. Thermal Stresses 25, 719–743.
Berezovski, A., Maugin, G.A., 2002b. Thermodynamics of discrete systems and martensitic phase transition simulation. Technische Mechanik 22, 118–131.
Berezovski, A., Maugin, G.A., 2003. On the thermodynamic conditions at moving phase-transition fronts in thermoelastic solids. J. Non-Equilib. Thermodyn. 28, 299–313.
LeVeque, R.J., 1997. Wave propagation algorithms for multidimensional hyperbolic systems. J. Comp. Physics 131, 327–353.
Maugin, G.A., 1993. Material Inhomogeneities in Elasticity, Chapman and Hall, London.
Maugin, G.A., 1998. On shock waves and phase-transition fronts in continua. ARI 50, 141–150.
Muschik, W., 1993. Fundamentals of non-equilibrium thermodynamics. In: Muschik, W., (ed.), Non-Equilibrium Thermodynamics with Application to Solids, Springer, Wien, pp. 1–63.
Truskinovsky, L., 1987. Dynamics of nonequilibrium phase boundaries in a heat conducting nonlinear elastic medium. J. Appl. Math. Mech. (PMM) 51, 777–784.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer Science+Business Media, Inc.
About this paper
Cite this paper
Berezovski, A., Maugin, G.A. (2005). Driving Force in Simulation of Phase Transition Front Propagation. In: Steinmann, P., Maugin, G.A. (eds) Mechanics of Material Forces. Advances in Mechanics and Mathematics, vol 11. Springer, Boston, MA. https://doi.org/10.1007/0-387-26261-X_29
Download citation
DOI: https://doi.org/10.1007/0-387-26261-X_29
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-26260-4
Online ISBN: 978-0-387-26261-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)