# Coupled thermomechanical dynamics of phase transitions in shape memory alloys and related hysteresis phenomena

Article

*Mechanics Research Communications.*28 (6), pp. 637-651. https://doi.org/10.1016/S0093-6413(02)00216-1

Article Title | Coupled thermomechanical dynamics of phase transitions in shape memory alloys and related hysteresis phenomena |
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ERA Journal ID | 5159 |

Article Category | Article |

Authors | Melnik, R. V. N. (Author), Roberts, A. J. (Author) and Thomas, K. A. (Author) |

Journal Title | Mechanics Research Communications |

Journal Citation | 28 (6), pp. 637-651 |

Number of Pages | 15 |

Year | 2001 |

Place of Publication | Oxford, United Kingdom |

ISSN | 0093-6413 |

1873-3972 | |

Digital Object Identifier (DOI) | https://doi.org/10.1016/S0093-6413(02)00216-1 |

Web Address (URL) | http://www.sciencedirect.com/science/article/B6V48-460M6RG-6/2/a8267e51e82f0a15cf70e22bec8eef7b |

Abstract | In this paper the nonlinear dynamics of shape memory alloy phase transformations is studied with thermomechanical models based on coupled systems of partial differential equations by using computer algebra tools. The reduction procedures of the original model to a system of differential-algebraic equations and its solution are based on the general methodology developed by the authors for the analysis of phase transformations in shape memory materials with low dimensional approximations derived from center manifold theory. Results of computational experiments revealing the martensitic-austenitic phase transition mechanism in a shape-memory-alloy rod are presented. Several groups of computational experiments are reported. They include results on stress- and temperature-induced phase transformations as well as the analysis of the hysteresis phenomenon. All computational experiments are presented for Cu-based structures. |

Keywords | nonlinear dynamics; shape memory alloy phase transformations; thermomechanical models; coupled systems; partial differential equations |

ANZSRC Field of Research 2020 | 490409. Ordinary differential equations, difference equations and dynamical systems |

401706. Numerical modelling and mechanical characterisation | |

461399. Theory of computation not elsewhere classified | |

Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |

Byline Affiliations | University of Southern Denmark, Denmark |

Department of Mathematics and Computing |

https://research.usq.edu.au/item/9y536/coupled-thermomechanical-dynamics-of-phase-transitions-in-shape-memory-alloys-and-related-hysteresis-phenomena

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