Stress-Measure Dependence of Phase Transformation Criterion under Finite Strains: Hierarchy of Crystal Lattice Instabilities for Homogeneous and Heterogeneous Transformations

Hamed Babaei and Valery I. Levitas
Phys. Rev. Lett. 124, 075701 – Published 21 February 2020
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Abstract

Hierarchy of crystal lattice instabilities leading to a first-order phase transformation (PT) is found, which consists of PT instability described by the order parameter and elastic instabilities under different prescribed stress measures. After PT instability and prior to the elastic instability, an unexpected continuous third-order PT was discovered, which is followed by a first-order PT after the elastic instability. Under prescribed compressive second Piola-Kirchhoff stress, PT is third order until completion; it occurs without hysteresis and dissipation, properties that are ideal for various applications. For heterogeneous perturbations and PT, first-order PT occurs when the first elastic instability criterion (among criteria corresponding to different stress measures) is met inside the volume, surprisingly independent of the stress measure prescribed at the boundary.

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  • Received 6 November 2019
  • Revised 25 December 2019
  • Accepted 17 January 2020

DOI:https://doi.org/10.1103/PhysRevLett.124.075701

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Hamed Babaei1 and Valery I. Levitas1,2,3

  • 1Department of Aerospace Engineering, Iowa State University, Ames, Iowa 50011, USA
  • 2Departments of Mechanical Engineering, Iowa State University, Ames, Iowa 50011, USA
  • 3Ames Laboratory, Division of Materials Science and Engineering, Ames, Iowa 50011, USA

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Issue

Vol. 124, Iss. 7 — 21 February 2020

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