C.P. model for discrete evolution of Deformation-Twinning

This is the companion website for the poster presented at MMAE symposium '23.
(Download the poster and the oral presentation.)

References

Deformation twinning section:

I.J. Beyerlein, R.J. McCabe, C.N. Tomé, Effect of microstructure on the nucleation of deformation twins in polycrystalline high-purity magnesium: A multi-scale modeling study, Journal of the Mechanics and Physics of Solids, 2011. http://dx.doi.org/10.1016/j.jmps.2011.02.007

M. Arul Kumar, I.J. Beyerlein, R.A. Lebensohn and C.N.Tomé, Role of alloying elements on twin growth and twin transmission in magnesium alloys, Materials Science & Engineering, 2017. https://dx.doi.org/10.1016/j.msea.2017.08.084

Problem statement section:

Jiahao Cheng, Somnath Ghosh, Crystal plasticity ﬁnite element modeling of discrete twin evolution in polycrystalline magnesium, J. Mech. Phys. Solids 2017. http://dx.doi.org/10.1016/j.jmps.2016.12.008

Implementation section:

M. Niewczas, Lattice correspondence during twinning in hexagonal close-packed crystals, Acta Materialia 2010. http://dx.doi.org/10.1016/j.actamat.2010.06.059

F. Roters et al, DAMASK – The Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single crystal up to the component scale, Computational Materials Science 2019, https://doi.org/10.1016/j.commatsci.2018.04.030

Introduction section: Applications of HCP metals.

METALS Program Overview - ARPA-E. https://arpa-e.energy.gov/sites/default/files/documents/files/METALS_ProgramSummary.pdf

3D Model of HCP unit cell.

Arrangement of Atoms in HCP lattice. (Source: DAMASK)

Monte Carlo Method.

Application of Monte Carlo method.

Finding the value of Pi.

Repeated Random Sampling

Repeated random sampling of FFT voxels.

Nucleation

Repeated random sampling on a Grain Boundary.

Subroutine to update ∆F_p (In the form of Flow-chart).

Physical appearance of deformation twinning in Mg alloy

EBSD orientation imaging microscopy of AZ31 alloy with extension twins. (Source: EICMD Website.)

The description of images used in introduction.

Images from top clockwise:
1. BMW 7 series.
2. ITER tokamak fusion reactor.
3. Titanium Hip Replacement (CAD model).
4. Lockheed SR-71 blackbird
5. James Webb Space Telescope.
6. Rolls-Royce Trent 1000 engine.

C.P. model for discrete evolution of Deformation-Twinning​