Evolution equations of deformation twins in metals—Evolution of deformation twins in pure titanium

The evolution equations of the volume fractions of deformation twins are obtained in this article by using the theory of inclusions in micromechanics and analyzing the Gibbs free energy and dissipation of a system. The evolution process of the volume fractions of twins is got by using the Runge–Kutta method in this article. The computational results of the evolution equations (the critical twinning stress and the families of twins appeared under different loading conditions) are consistent with the experiment results.