Two-scale, FE-FFT- and phase-field-based computational homogenization

Abstract eng:
The purpose of this work is the development of a two-scale, FE-FFT- and phase-field-based computational model to link macroscopic deformation processes to microstructural modifications and peripheral and surface zone properties of polycrystalline materials. The macroscopic BVP is solved using finite element (FE) methods and the solution of the microscopic BVP, which is embedded as an RVE in each integration point, is found exploiting fast Fourier transform (FFT), augmented Lagrangean and fixed-point methods. Non-conserved phase-fields are introduced to characterize the local material composition and model changes in the crystal structure. As a first example, the proposed methodology is applied to the modeling of martensitic phase transformations subjected to macroscopic deformation processes. For simplicity, attention is restricted to the linearly geometric, isothermal and isochemical case and quasi-static processes.

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