Heterogeneous Nucleation in a 2-D Model of Martensitic Transformation with Volume Changes
Abstract
We study domain pattern formation in a 2-D square to rectangle martensitic transformation using a time-dependent Ginzburg-Landau model. The model is based on a free energy in terms of the deviatoric, bulk and shear components of the strain tensor. In this work, we include a coupling between the deviatoric and bulk strains that allows for volume changes of the unit cell. An effective free energy in terms of deviatoric strains is constructed by eliminating the bulk and shear strains subject to the elastic compatibility relations. Heterogeneous nucleation is studied by considering randomly distributed stress centers that represent crystal defects. Computer simulations of the model reveal that the stress centers nucleate product phase domains that grow only in finite size. Hence, there is always some retained parent phase at the end of the transformation.
Keywords
Shear Strain Martensitic Transformation Deviatoric Strain Domain Pattern Bulk StrainPreview
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