Peierls-Nabarro landscape for martensitic phase transitions - Archive ouverte HAL
Journal Articles Physical Review B: Condensed Matter and Materials Physics (1998-2015) Year : 2003

Peierls-Nabarro landscape for martensitic phase transitions

Abstract

We consider a prototypical model of a martensitic phase transition, which takes discreteness and nonlocality into account and allows one to reconstruct explicitly the Peierls-Nabarro energy landscape for the phase boundaries. We solve the discrete problem exactly and obtain a simple expression for the critical Peierls force that is necessary to release a lattice-trapped phase boundary. The model suggests specific relations between the microscopic parameters of the lattice and the size of the hysteresis in martensitic materials, which we verify for the cubic-$β'_1$-monoclinic phase transition in Cu-Al-Ni alloy.
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Dates and versions

hal-00111393 , version 1 (29-07-2019)

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Lev Truskinowsky, Anna Vainchtein. Peierls-Nabarro landscape for martensitic phase transitions. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2003, 67 (17), ⟨10.1103/physrevb.67.172103⟩. ⟨hal-00111393⟩
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