Premium
Shape memory and phase transitions for auxetic materials
Author(s) -
Ciarletta Michele,
Fabrizio Mauro,
Tibullo Vincenzo
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3025
Subject(s) - auxetics , phase transition , mathematics , austenite , phase (matter) , poisson distribution , poisson's ratio , order (exchange) , shape memory alloy , function (biology) , statistical physics , condensed matter physics , materials science , composite material , physics , microstructure , quantum mechanics , statistics , finance , evolutionary biology , economics , biology
We present a mathematical model describing the auxetic‐austenitic phase transition phenomenon by a second order shape memory phase transition. The typical properties of auxetic materials, as the negative Poisson ratio ν , are described by a function of the phase ϕ , called order parameter, which relates the phase transition with a change of the internal order structure of the material. In our model, the auxetic phase is represented by an order parameter ϕ = 1, which provides a negative Poisson's ratio, while the austenitic phase will be denoted by ϕ = 0. Copyright © 2013 John Wiley & Sons, Ltd.