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This Julia module computes finite-strain bent nanowires and bimetallic beams.

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StrainedBandstructures.jl

Working examples

Instantiate this project after cloning or updating via

$ julia --project=.
julia> using Pkg
julia> Pkg.instantiate()

For example to run the simulation for a GaAs/In0.5Al0.5As nanowire with 50 nm thick core (GaAs) and 10 nm wide shell/stressor (In0.5Al0.5As) type:

julia> include("scripts/nanowire.jl")
julia> using PyPlot
julia> nanowire.main(geometry=[30,20,10,2000],stressor_x=0.5,Plotter=PyPlot,postprocess=true)

The code by default uses linear FEM elements without any grid refinement and a ZB-(001) crystal orientation. These settings (and many others) can be tuned by changing the papameters in scripts/nanowire.jl.

The above commands will generate a .jld2 file with the solution data and two .vtu files with the bent and unbent nanowire that can be imported in Paraview for visualizing the solution. In addition, cross-section cuts are created and elastic strain and other solution derivatives are computed on cross-sections perpedicular to the bending direction (by default a middle cross-section is chosen).

Scripts

  • scripts/nanowire.jl: 3D nanowire simulation (nonlinear elasticity + polarisation + postprocessing)
  • scripts/bimetal_watson.jl: runs a set of parametrized bimetal simulations via DrWatson + postprocessing (angle vs. lattice mismatch, 3D bimetal cuts)
  • scripts/bimetal_thermal_vs_lattice.jl: 2D or 3D bimetal simulations (nonlinear elasticity + misfit strain from thermal effects (main_thermal) or lattice mismatch (main_lattice))

Todo

  • [Done, 16/03/2022] grid generator for nanowire in Julia (currently user must provide sg-files, one can be found in grids folder)
  • fully coupled elasticity + polarisation model (currently only forward coupling)
  • parallelize simulations in run_watson
  • regression tests

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This Julia module computes finite-strain bent nanowires and bimetallic beams.

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