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EnglishWe 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.
http://hdl.handle.net/11386/4234653| Titolo: | Shape memory and phase transitions for auxetic materials |
| Autori interni: | CIARLETTA, Michele FABRIZIO, MAURO TIBULLO, VINCENZO |
| Data di pubblicazione: | 2014 |
| Rivista: | MATHEMATICAL METHODS IN THE APPLIED SCIENCES |
| Abstract: | 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. |
| Handle: | http://hdl.handle.net/11386/4234653 |
| Appare nelle tipologie: | 1.1.2 Articolo su rivista con ISSN |
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