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Driving Force in Simulation of Phase Transition Front Propagation

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Mechanics of Material Forces

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 11))

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.

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References

  1. 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.

    Article  MathSciNet  MATH  Google Scholar 

  2. 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.

    Article  MathSciNet  MATH  Google Scholar 

  3. Berezovski, A., Engelbrecht, J., Maugin, G.A., 2000. Thermoelastic wave propagation in inhomogeneous media, Arch. Appl. Mech. 70, 694–706.

    Article  MATH  Google Scholar 

  4. 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.

    Google Scholar 

  5. 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.

    Article  MathSciNet  MATH  Google Scholar 

  6. Berezovski, A., Maugin, G.A., 2002a. Thermoelastic wave and front propagation. J. Thermal Stresses 25, 719–743.

    Article  MathSciNet  Google Scholar 

  7. Berezovski, A., Maugin, G.A., 2002b. Thermodynamics of discrete systems and martensitic phase transition simulation. Technische Mechanik 22, 118–131.

    Google Scholar 

  8. 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.

    Article  Google Scholar 

  9. LeVeque, R.J., 1997. Wave propagation algorithms for multidimensional hyperbolic systems. J. Comp. Physics 131, 327–353.

    Article  MATH  Google Scholar 

  10. Maugin, G.A., 1993. Material Inhomogeneities in Elasticity, Chapman and Hall, London.

    MATH  Google Scholar 

  11. Maugin, G.A., 1998. On shock waves and phase-transition fronts in continua. ARI 50, 141–150.

    Google Scholar 

  12. Muschik, W., 1993. Fundamentals of non-equilibrium thermodynamics. In: Muschik, W., (ed.), Non-Equilibrium Thermodynamics with Application to Solids, Springer, Wien, pp. 1–63.

    Google Scholar 

  13. Truskinovsky, L., 1987. Dynamics of nonequilibrium phase boundaries in a heat conducting nonlinear elastic medium. J. Appl. Math. Mech. (PMM) 51, 777–784.

    Article  MathSciNet  Google Scholar 

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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

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