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    Elinvar Effect by Nanoscale Displacive Phase Transformation in Martensites

    Die Liu1,*, Yao Liu1,*, Junming Gou1,†, Tianyu Ma1,‡, and Xiaobing Ren1,2

    • 1Frontier Institute of Science and Technology, and State Key Laboratory for Mechanical Behavior of Materials, Xi’an Jiaotong University, Xi’an 710049, China
    • 2Center for Advanced Smart Materials, Yongjiang Laboratory, Ningbo 315202, China

    • *These authors contributed equally to this work.
    • †Contact author: goujunming@xjtu.edu.cn
    • ‡Contact author: matianyu@xjtu.edu.cn

    Phys. Rev. Lett. 137, 016101 – Published 29 June, 2026

    DOI: https://doi.org/10.1103/1ft8-9hkv

    Abstract

    Ferroelastic alloys suffer modulus softening prior to the martensitic transformation, but still exhibit normal cooling-hardening effect below the martensitic transformation finish temperature, Mf. Here we report an unprecedented phenomenon that a martensitic state can show nearly temperature-independent modulus (i.e., Elinvar effect) below Mf, as exhibited in Ni-Fe-Mn-Ti alloys. The Elinvar martensites have a hierarchical domain structure, where two types of orthorhombic nanomartensites with distinct atomic modulation periods and magnetic states coexist within an individual ferroelastic domain. Their small free-energy difference gives rise to a nanoscale displacive phase transformation from one to another, and the moderate modulus softening compensates for the ever-present elastic hardening, leading to the wide temperature range Elinvar effect. This finding is a new insight of martensitic phase transformation, which might help to discover technically desired properties, such as the temperature-independent modulus and good ductility at cryogenic temperatures.

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