## Abstract

It is proposed to use the concept of eigenmoduli and eigenstates from the linear theory of elasticity to estimate the possibility of phase transitions (martensitic transformations) in alloys with the shape memory effect. For alloys with cubic and hexagonal lattices, the eigenmoduli and eigenstates are given. The elastic strain energy for the cubic and hexagonal phases is written as the sum of six independent terms. It is proposed to compare the elastic strain energies in the cubic and hexagonal phases. If the deformation energy in the hexagonal phase is greater than in the cubic phase, then the alloy may tend to return to its original state with less energy. It is also possible to use the formulas of the tensors closest in Euclidean energy norm to the cubic and hexagonal tensors to compare the energies in different phases. The examples are given for some specific values of the elasticity constants.

Original language | English |
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Pages (from-to) | 26-29 |

Number of pages | 4 |

Journal | Doklady Physics |

Volume | 66 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 2021 |

## Keywords

- cubic and hexagonal lattices
- eigenmoduli and eigenstates
- elastic constants
- elastic strain energy
- shape memory alloys

## OECD FOS+WOS

- 2.05 MATERIALS ENGINEERING
- 1.03 PHYSICAL SCIENCES AND ASTRONOMY
- 2.03.PU MECHANICS
- 1.03.UI PHYSICS, MULTIDISCIPLINARY