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\begin{document}

\title{Modeling of the phase transformation of germanate olivine by using the
phase-field method}



\author[1]{Sando Sawa}%
\author[1]{Jun Muto}%
\author[1]{Hiroyuki Nagahama}%
\affil[1]{Tohoku University}%


\vspace{-1em}



  
  \date{May 17, 2024}


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\selectlanguage{english}
\begin{abstract}
Olivine is the main constituent of the upper mantle, and its phase
transformation affects the rheology of the subduction zone. It is
crucial to reveal the kinetics of olivine (\selectlanguage{greek}α\selectlanguage{english})-spinel (\selectlanguage{greek}γ\selectlanguage{english}) phase
transformation under differential stress. To investigate the effect of
microstructural properties on phase transformations such as grain
boundary energy and plastic strain, we conducted a phase-field
simulation using germanate olivine, an analog of silicate olivine. We
conducted the simulations under various confining pressures of 1-5 GPa,
temperatures of 1000 and 1200 K, with/without plastic strain, and
various grain boundary energy. Under static conditions, the volume
fraction of the \selectlanguage{greek}γ \selectlanguage{english}phase increases as the overpressure increases because
the chemical-free energy promoting grain growth dominates over the
elastic strain energy, inhibiting grain growth. Under differential
stress, at a slight overpressure, the volume fraction of the \selectlanguage{greek}γ \selectlanguage{english}phase
increases proportion to the chemical-free energy's magnitude. Meanwhile,
at a significant overpressure, the \selectlanguage{greek}γ \selectlanguage{english}phase's volume fraction decreases
due to the sizeable elastic strain energy. Furthermore, the volume
fraction of the \selectlanguage{greek}γ \selectlanguage{english}phase under differential stress is more significant
than under static conditions due to the considerable shear plastic
strain. The grains of the \selectlanguage{greek}γ \selectlanguage{english}phase under differential stress at low
confining pressure are lens-shaped with a strong preferred orientation
normal to the maximum compression direction because of the shear plastic
strain. Meanwhile, the grains of the \selectlanguage{greek}γ \selectlanguage{english}phase at a high confining
pressure are ultra-thin because of the considerable elastic strain
energy.%
\end{abstract}%



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