Dynamic stability of martensite twins under regular kinetics

revised version: March 2007
Ramón G. Plaza
(Please use for correspondence this email).

Submission date: 02. Mar. 2007
Pages: 25
MSC-Numbers: 74N20, 74A50, 35L67
Keywords and phrases: Martensite twin, dynamical stability, Lopatinski function
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Abstract:
This paper considers phase boundaries governed by regular kinetic relations as first proposed by Abeyaratne and Knowles. It shows that static configurations of hyperelastic materials, in which two different martensitic (monoclinic) states meet along a planar interface, are dynamically stable towards fully three dimensional perturbations.