On the multiscale analysis of a two phase material: crystal plasticity versus mean field

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In this paper, a comparison is made between two multiscale methods, namely crystal plasticity finite element and mean field on a material composed of two phases. Both methods are used to homogenize a given microstructure. In order to obtain macroscopic behavior, in the mean field approach, a Self-Consistent scheme is used to evaluate stress and strain partitioning among the phases. In this method, an average of the fields is estimated and local distributions cannot be captured. In parallel, crystal plasticity simulations on Representative Volume Elements (RVEs) composed of hexagonal grains are performed. In these simulations, grain orientations are attributed randomly respecting Mackenzie's distribution function in order to achieve isotropic behavior and macroscopic hardening is extracted from the simulations. The results on macroscopic hardening of both methods are compared to distinguish the extents of validity of mean field homogenization. In addition to Self- Consistent, other mean field schemes such as Voigt, Reuss and Bound-Interpolation are compared in terms of efficiency and accuracy. The comparison manifests that Self-Consistent scheme is capable of predicting material behavior well.
Original languageEnglish
Title of host publicationESAFORM 2021
Subtitle of host publication24th International Conference on Material Forming
Publication statusPublished - 8 Apr 2021
Event24th International Conference on Material Forming, ESAFORM 2021: Friction and wear in forming processes - Online Event, Belgium
Duration: 14 Apr 202116 Apr 2021
Conference number: 24


Conference24th International Conference on Material Forming, ESAFORM 2021
Abbreviated titleESAFORM 2021
CityOnline Event
Internet address


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