Abstract
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.
Highlights
Heterogeneities that exist in materials at different scales, influence the way that material responds to mechanical loading
A comparison was made between two well-known multiscale methods, crystal plasticity and mean field
The macroscopic mechanical behavior of single phases was investigated individually by means of finite element simulations where a rate-independent crystal plasticity subroutine was employed as material model
Summary
Heterogeneities that exist in materials at different scales, influence the way that material responds to mechanical loading. The necessity of a suitable method to represent heterogeneous microstructures is well recognized. Multiscale modeling is one of the most well-known tools to capture these effects at various scales and deduce macroscopic constitutive equations. Macroscale models have proved to be insufficient to represent material behavior and multiscale methods act as a bridge by which it is possible to simultaneously switch to multiple scales. The connection between the macro and meso scales is possible via the concept of a Representative Volume Element (RVE). RVEs are widely applied to obtain material behavior efficiently, they are impractical to be adopted in finite element simulations of real forming processes
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
