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Add vonMises stress calculation to ExtendableFEM #66

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Add vonMises stress calculation to ExtendableFEM #66

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20 changes: 17 additions & 3 deletions benchmarks/linear-elastic-plate-with-hole/extendablefem/run_extendablefem_simulation.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -53,6 +53,17 @@ function sigma!(result,∇u,qpinfo)
σ.= ((1.0-ν).*ε + ν*tr(ε).*II)*E/(1-ν^2)
end

function vonMises!(result,∇u,qpinfo)
sig = zeros(4)
sv = zeros(4)
sigma!(sig,∇u,qpinfo)
σ = tensor_view(sig,1,TDMatrix(2))
s = tensor_view(sv,1,TDMatrix(2))
p = tr(σ)/3.0
s .= σ - p.*II
result[1] = sqrt(1.5)*sqrt(dot(sv,sv)+p*p)/qpinfo.volume
end


function u_ex_kernel!(result,qpinfo)
x = qpinfo.x[1]
Expand Down Expand Up @@ -118,16 +129,19 @@ function solve_plate_with_hole(config::PlateConfig,grid::ExtendableGrid,outputzi
u_mag = sqrt.(u_x.*u_x.+u_y.*u_y)
uex_mag = sqrt.(u_exx.*u_exx.+u_exy.*u_exy)

# TODO: Stress calculations

metrics = Metrics(0.)
# TODO: L2 error, see Example301
ErrorIntegrationExact = ItemIntegrator(exact_error!, [id(u)]; quadorder = 8,params = [config.radius,config.F,config.E,config.ν])

error = evaluate(ErrorIntegrationExact, sol)

L2error = sqrt(sum(error))

vonMisesIntegration = ItemIntegrator(vonMises!, [grad(u)];quadorder=3,params=[config.E,config.ν])
vonMises_stresses = evaluate(vonMisesIntegration,sol)


metrics = Metrics(maximum(vonMises_stresses))

outputvtk = splitdir(outputzip)[1]*"/results_"*config.id*".vtu";
writeVTK(outputvtk,grid;compress=false, u_x=u_x,u_y=u_y,u_mag=u_mag,uexx=u_exx,uexy=u_exy,uex=uex_mag)
f = open(outputvtk,"r")
Expand Down
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