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Fix linear elasticity bug in extendablefem tool #65

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Merged
jpthiele merged 1 commit into from
Mar 23, 2026
Merged

Fix linear elasticity bug in extendablefem tool #65

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30 changes: 12 additions & 18 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 @@ -40,25 +40,20 @@ function parse_config(configfile::String)
return PlateConfig(id,F,E,ν,radius,length,element_order)
end

const II = [1 0;0 1]

function plane_stress_elasticity_tensor(E::Float64, ν::Float64)
G = (1 / (1 + ν)) * E * 0.5
λ = (ν / (1 - 2ν)) * 2 * G
return @SArray [
(λ + 2G) λ 0
λ (λ + 2G) 0
0 0 G
]
end

function sigma!(result,∇u,qpinfo)
E = qpinfo.params[1]
ν = qpinfo.params[2]
∇u[2] = (∇u[2]+∇u[3])*0.5
∇u[3] = ∇u[2]

function make_kernel(𝐂)
function LE_kernel_sym!(σ,εv,qpinfo)
mul!(σ,𝐂,εv)
end
return LE_kernel_sym!
ε = tensor_view(∇u,1,TDMatrix(2))
σ = tensor_view(result,1,TDMatrix(2))
σ.= ((1.0-ν).*ε + ν*tr(ε).*II)*E/(1-ν^2)
end


function u_ex_kernel!(result,qpinfo)
x = qpinfo.x[1]
y = qpinfo.x[2]
Expand Down Expand Up @@ -103,9 +98,8 @@ function solve_plate_with_hole(config::PlateConfig,grid::ExtendableGrid,outputzi
PD = ProblemDescription("Linear elastic 2D Plate with hole, configuration "*config.id)
u = Unknown("u"; name= "displacement")
assign_unknown!(PD, u)
𝐂 = plane_stress_elasticity_tensor(config.E,config.ν)
LE_kernel_sym! = make_kernel(𝐂)
assign_operator!(PD, BilinearOperator(LE_kernel_sym!, [εV(u,1.0)]))

assign_operator!(PD, BilinearOperator(sigma!, [grad(u)];params=[config.E,config.ν]))
assign_operator!(PD, InterpolateBoundaryData(u, u_ex_kernel!; regions = [3,4], params = [config.radius,config.F,config.E,config.ν]))
assign_operator!(PD, HomogeneousBoundaryData(u; regions = [1], mask = [1,0]))
assign_operator!(PD, HomogeneousBoundaryData(u; regions = [2], mask = [0,1]))
Expand Down
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