Abstract
We study a fully inertial discrete model of a martensitic phase transition which takes into account interactions of first and second nearest neighbors. Although the model is Hamiltonian at the microscale, it generates a nontrivial macroscopic relation between the velocity of the martensitic phase boundary and the conjugate configurational force. The apparent dissipation is due to the induced radiation of lattice waves carrying energy away from the front.
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Truskinovsky, L., Vainchtein, A. (2005). Explicit Kinetic Relation from “First Principles”. 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_5
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DOI: https://doi.org/10.1007/0-387-26261-X_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-26260-4
Online ISBN: 978-0-387-26261-1
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