Phase Diagram of Ferroelastic Systems in the Presence of Disorder: Analytical Model and Experimental Verification

Abstract

There is little consensus on the nature of the glass state and its relationship to other strain states in ferroelastic materials which show the shape memory effect and superelasticity. We provide a thermodynamic interpretation of the known strain states, including precursory tweed and strain glass, by mapping the problem onto a spin model and analytically obtaining the phase diagram using real-space renormalization group methods. We further predict a spontaneous transition from the glass state to the ordered martensite phase. We verify this prediction by mapping out the experimental phase diagram for the ternary ferroelastic alloy Ti${}_{50}$(Pd${}_{50-x}$Cr${}_x$) and demonstrate the emergence of the spontaneous transition. Our work thus provides a consistent framework to understand the various experimental and theoretical studies on the glassy behavior associated with ferroelastic materials.

arXiv comment12 pages, 9 figures, to appear in Phys. Rev. B

References in corpus (5)

• Ferroelastic Dynamics and Strain Compatibility
• Real-Space Renormalization Group Study of the Two-dimensional Blume-Capel Model with a Random Crystal Field
• A Simple Spin Glass Perspective on Martensitic Shape-memory Alloys
• The Blume-Emery-Griffiths Spin Glass and Inverted Tricritical Points
• Microstructure from ferroelastic transitions using strain pseudospin clock models in two and three dimensions: a local mean-field analysis

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