Finite strain phase-field microelasticity theory for modeling microstructural evolution

The effects of stress, temperature and facet structure on growth of {101¯2} twins in Mg: A molecular dynamics and phase field study

“…Twist-PrPr2 facet which can be subjected to large internal stresses), the elastic energy can contribute to the total energy by an amount as high as ~30%. The spatiotemporal evolution of the phase-field variable is given by dφ dt = −L ∂F ∂φ (10) where L is the mobility. The energies of facets considered are shown in the table 1 , while the corresponding facets are shown in the Fig.…”

“…This has been shown by serial section of deformation samples and use of electron back scattering diffraction (EBSD) to reconstruct 3-dimensional twinned volumes [7] . The complex 3-dimensional twin shapes result from (i) the local fluctuations in internal stresses (providing non-uniform driving forces for growth) [9][10][11] , (ii) the potential anisotropy in the migration mode of defects mediating the twin transformation [ 4 , 9 , 12 ] and (iii) the short-range interactions between twin domains and other defects (i.e. grain boundaries, twins, dislocations, precipitates) [13][14][15][16] .…”

“…By only studying the intrinsic motion of facets one is unlikely to completely rationalize twin growth kinetics, at the very least during the early stages of growth of the twin embryo. First, the twin transformation will generate complex non-uniform stress/strain fields acting upon the twin facets [9][10][11] . The extent to which these internal stresses, which have been shown to be more intense along direction perpendicular to both the CTB boundary and shear direction, modulate the structure of facets is not clear.…”

Phase-field modeling of microstructure evolution: Recent applications, perspectives and challenges

“…This coupling requires a careful analysis of the differences in the time scales associated with the microstructure evolution and the application of the mechanical stresses. Particularly interesting approaches to achieve these goals have been developed by coupling crystal plasticity and PF models [185,186,206,208,[372][373][374][375].…”

Phase-field modeling of multivariant martensitic transformation at finite-strain: computational aspects and large-scale finite-element simulations

“…Moreover, most of the models in this category are formulated within the small-strain regime, with only a limited number of them incorporating a finite-strain theory, e.g. [18,21].…”