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jmartfrut merged 1 commit into from
Dec 15, 2025
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improve readme #95

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18 changes: 9 additions & 9 deletions README.md
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Original file line number Diff line number Diff line change
Expand Up @@ -55,6 +55,9 @@ physmodel_mec = NeoHookean3D(λ=10.0, μ=1.0)
physmodel_elec = IdealDielectric(ε=1.0)
physmodel= ElectroMechModel(mechano=physmodel_mec, electro=physmodel_elec)

# Functionals for Energy and Analytical derivatives
Ψ,∂ΨF, ∂ΨE, ∂ΨFF,∂ΨEF,∂ΨEE = physmodel()

# Setup integration
order = 1
degree = 2 * order
Expand Down Expand Up @@ -99,17 +102,14 @@ ke=Kinematics(Electro,Solid)
F,_,_ = get_Kinematics(kM)
E = get_Kinematics(ke)


# residual and jacobian function of load factor
_,∂Ψu, ∂Ψφ, ∂Ψuu,∂Ψφu,∂Ψφφ = physmodel()

res(Λ) = ((u, φ), (v, vφ)) -> ∫(∇(v)' ⊙ (∂Ψu ∘ (F∘∇(u)', E∘∇(φ))))dΩ -
∫(∇(vφ) ⋅ (∂Ψφ ∘ (F∘∇(u)', E∘∇(φ))))dΩ
res(Λ) = ((u, φ), (v, vφ)) -> ∫(∇(v)' ⊙ (∂ΨF ∘ (F∘∇(u)', E∘∇(φ))))dΩ -
∫(∇(vφ) ⋅ (∂ΨE ∘ (F∘∇(u)', E∘∇(φ))))dΩ

jac(Λ) = ((u, φ), (du, dφ), (v, vφ)) -> ∫(∇(v)' ⊙ ((∂Ψuu ∘ (F∘∇(u)', E∘∇(φ))) ⊙ ∇(du)'))dΩ +
∫(∇(vφ)' ⋅ ((∂Ψφφ ∘ (F∘∇(u)', E∘∇(φ))) ⋅ ∇(dφ)))dΩ -
∫(∇(dφ) ⋅ ((∂Ψφu ∘ (F∘∇(u)', E∘∇(φ))) ⊙ ∇(v)'))dΩ -
∫(∇(vφ) ⋅ ((∂Ψφu ∘ (F∘∇(u)', E∘∇(φ))) ⊙ ∇(du)'))dΩ
jac(Λ) = ((u, φ), (du, dφ), (v, vφ)) -> ∫(∇(v)' ⊙ ((∂ΨFF ∘ (F∘∇(u)', E∘∇(φ))) ⊙ ∇(du)'))dΩ +
∫(∇(vφ)' ⋅ ((∂ΨEE ∘ (F∘∇(u)', E∘∇(φ))) ⋅ ∇(dφ)))dΩ -
∫(∇(dφ) ⋅ ((∂ΨEF ∘ (F∘∇(u)', E∘∇(φ))) ⊙ ∇(v)'))dΩ -
∫(∇(vφ) ⋅ ((∂ΨEF ∘ (F∘∇(u)', E∘∇(φ))) ⊙ ∇(du)'))dΩ
# nonlinear solver
ls = LUSolver()
nls_ = NewtonSolver(ls; maxiter=20, atol=1.e-10, rtol=1.e-8, verbose=true)
Expand Down