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Explicit kinetic relation from “first principles”. (English) Zbl 1192.74287
Steinmann, Paul (ed.) et al., Mechanics of material forces. Proceedings of the EUROMECH colloquium 445 on mechanics of material forces, Kaiserslautern, Germany, May 21–24, 2003. New York, NY: Springer (ISBN 0-387-26260-1/hbk). Advances in Mechanics and Mathematics 11, 43-50 (2005).
Summary: 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.
For the entire collection see [Zbl 1087.74006].

MSC:
74N05 Crystals in solids
74A25 Molecular, statistical, and kinetic theories in solid mechanics
82B26 Phase transitions (general) in equilibrium statistical mechanics
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