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Anisotropic visco-elasticity: Multiple dispatch for generalized Maxwell model #99

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Merged
miguelmaso merged 1 commit into from
Dec 22, 2025
Merged

Anisotropic visco-elasticity: Multiple dispatch for generalized Maxwell model #99

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19 changes: 15 additions & 4 deletions src/PhysicalModels/ElectroMechanicalModels.jl
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Expand Up @@ -33,7 +33,7 @@ struct ElectroMechModel{E<:Electro,M<:Mechano} <: ElectroMechano
∂Ψφφ(F, E, N) = ∂Ψem_φφ(F, E)
return (Ψ, ∂Ψu, ∂Ψφ, ∂Ψuu, ∂Ψφu, ∂Ψφφ)
end
function (obj::ElectroMechModel{<:Electro,<:ViscoElastic})(Λ::Float64=1.0)
function (obj::ElectroMechModel{<:Electro,<:ViscoElastic{<:IsoElastic}})(Λ::Float64=1.0)
Ψm, ∂Ψm_u, ∂Ψm_uu = obj.mechano()
Ψem, ∂Ψem_u, ∂Ψem_φ, ∂Ψem_uu, ∂Ψem_φu, ∂Ψem_φφ = _getCoupling(obj.electro, obj.mechano, Λ)
Ψ(F, E, Fn, A...) = Ψm(F, Fn, A...) + Ψem(F, E)
Expand All @@ -44,6 +44,17 @@ struct ElectroMechModel{E<:Electro,M<:Mechano} <: ElectroMechano
∂Ψφφ(F, E, Fn, A...) = ∂Ψem_φφ(F, E)
return (Ψ, ∂Ψu, ∂Ψφ, ∂Ψuu, ∂Ψφu, ∂Ψφφ)
end
function (obj::ElectroMechModel{<:Electro,<:ViscoElastic{<:AnisoElastic}})()
Ψm, ∂Ψm_u, ∂Ψm_uu = obj.mechano()
Ψem, ∂Ψem_u, ∂Ψem_φ, ∂Ψem_uu, ∂Ψem_φu, ∂Ψem_φφ = _getCoupling(obj.electro, obj.mechano)
Ψ(F, E, n, Fn, A...) = Ψm(F, n, Fn, A...) + Ψem(F, E)
∂Ψu(F, E, n, Fn, A...) = ∂Ψm_u(F, n, Fn, A...) + ∂Ψem_u(F, E)
∂Ψφ(F, E, n, Fn, A...) = ∂Ψem_φ(F, E)
∂Ψuu(F, E, n, Fn, A...) = ∂Ψm_uu(F, n, Fn, A...) + ∂Ψem_uu(F, E)
∂Ψφu(F, E, n, Fn, A...) = ∂Ψem_φu(F, E)
∂Ψφφ(F, E, n, Fn, A...) = ∂Ψem_φφ(F, E)
return (Ψ, ∂Ψu, ∂Ψφ, ∂Ψuu, ∂Ψφu, ∂Ψφφ)
end
end

ViscoElectricModel = ElectroMechModel{<:Electro,<:ViscoElastic}
Expand All @@ -53,12 +64,12 @@ function update_time_step!(obj::ElectroMechModel, Δt::Float64)
update_time_step!(obj.mechano, Δt)
end

function initialize_state(obj::ElectroMechano, points::Measure)
function initialize_state(obj::ElectroMechModel, points::Measure)
initialize_state(obj.mechano, points)
end

function update_state!(obj::ElectroMechano, args...)
update_state!(obj.mechano, args...)
function update_state!(obj::ElectroMechModel, state, F, E, args...)
update_state!(obj.mechano, state, F, args...)
end


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2 changes: 1 addition & 1 deletion src/PhysicalModels/PhysicalModels.jl
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Expand Up @@ -105,7 +105,7 @@ abstract type Elasto <: Mechano end
abstract type IsoElastic <: Elasto end
abstract type AnisoElastic <: Elasto end
abstract type Visco <: Mechano end
abstract type ViscoElastic <: Mechano end
abstract type ViscoElastic{E<:Elasto} <: Mechano end

abstract type MultiPhysicalModel <: PhysicalModel end
abstract type ElectroMechano <: MultiPhysicalModel end
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57 changes: 40 additions & 17 deletions src/PhysicalModels/ViscousModels.jl
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Expand Up @@ -42,26 +42,39 @@ function Dissipation(obj::ViscousIncompressible)
D(F, Fn, A) = ViscousDissipation(obj, Se, ∂Se∂Ce, F, Fn, A)
end

struct GeneralizedMaxwell <: ViscoElastic
longterm::Elasto
struct GeneralizedMaxwell{E<:Elasto} <: ViscoElastic{E}
longterm::E
branches::NTuple{N,Visco} where N
Δt::Ref{Float64}
function GeneralizedMaxwell(longTerm::Elasto, branches::Visco...)
new(longTerm,branches,0)
end
function (obj::GeneralizedMaxwell)()
Ψe, ∂ΨeF, ∂ΨeFF = obj.longterm()
DΨv = map(b -> b(), obj.branches)
Ψα = map(x -> x[1], DΨv)
∂ΨαF = map(x -> x[2], DΨv)
∂ΨαFF = map(x -> x[3], DΨv)
Ψ(F, Fn, A...) = mapreduce((Ψi, Ai) -> Ψi(F, Fn, Ai), +, Ψα, A; init=Ψe(F))
∂Ψ∂F(F, Fn, A...) = mapreduce((∂ΨiF, Ai) -> ∂ΨiF(F, Fn, Ai), +, ∂ΨαF, A; init=∂ΨeF(F))
∂Ψ∂FF(F, Fn, A...) = mapreduce((∂ΨiFF, Ai) -> ∂ΨiFF(F, Fn, Ai), +, ∂ΨαFF, A; init=∂ΨeFF(F))
(Ψ, ∂Ψ∂F, ∂Ψ∂FF)
function GeneralizedMaxwell(longTerm::E, branches::Vararg{Visco}) where {E<:Elasto}
new{E}(longTerm,branches,0)
end
end

function (obj::GeneralizedMaxwell{<:IsoElastic})()
Ψe, ∂ΨeF, ∂ΨeFF = obj.longterm()
DΨv = map(b -> b(), obj.branches)
Ψα = map(x -> x[1], DΨv)
∂ΨαF = map(x -> x[2], DΨv)
∂ΨαFF = map(x -> x[3], DΨv)
Ψ(F, Fn, A...) = mapreduce((Ψi, Ai) -> Ψi(F, Fn, Ai), +, Ψα, A; init=Ψe(F))
∂Ψ∂F(F, Fn, A...) = mapreduce((∂ΨiF, Ai) -> ∂ΨiF(F, Fn, Ai), +, ∂ΨαF, A; init=∂ΨeF(F))
∂Ψ∂FF(F, Fn, A...) = mapreduce((∂ΨiFF, Ai) -> ∂ΨiFF(F, Fn, Ai), +, ∂ΨαFF, A; init=∂ΨeFF(F))
(Ψ, ∂Ψ∂F, ∂Ψ∂FF)
end

function (obj::GeneralizedMaxwell{<:AnisoElastic})()
Ψe, ∂ΨeF, ∂ΨeFF = obj.longterm()
DΨv = map(b -> b(), obj.branches)
Ψα = map(x -> x[1], DΨv)
∂ΨαF = map(x -> x[2], DΨv)
∂ΨαFF = map(x -> x[3], DΨv)
Ψ(F, n, Fn, A...) = mapreduce((Ψi, Ai) -> Ψi(F, Fn, Ai), +, Ψα, A; init=Ψe(F,n))
∂Ψ∂F(F, n, Fn, A...) = mapreduce((∂ΨiF, Ai) -> ∂ΨiF(F, Fn, Ai), +, ∂ΨαF, A; init=∂ΨeF(F,n))
∂Ψ∂FF(F, n, Fn, A...) = mapreduce((∂ΨiFF, Ai) -> ∂ΨiFF(F, Fn, Ai), +, ∂ΨαFF, A; init=∂ΨeFF(F,n))
(Ψ, ∂Ψ∂F, ∂Ψ∂FF)
end

function update_time_step!(obj::GeneralizedMaxwell, Δt::Float64)
foreach(b -> update_time_step!(b, Δt), obj.branches)
obj.Δt[] = Δt
Expand All @@ -71,16 +84,26 @@ function initialize_state(obj::GeneralizedMaxwell, points::Measure)
map(b -> initialize_state(b, points), obj.branches)
end

function update_state!(obj::GeneralizedMaxwell, states, F, Fn)
function update_state!(obj::GeneralizedMaxwell{<:IsoElastic}, states, F, Fn)
@assert length(obj.branches) == length(states)
map((b, s) -> update_state!(b, s, F, Fn), obj.branches, states)
end

function update_state!(obj::GeneralizedMaxwell{<:AnisoElastic}, states, F, N, Fn)
@assert length(obj.branches) == length(states)
map((b, s) -> update_state!(b, s, F, Fn), obj.branches, states)
end

function Dissipation(obj::GeneralizedMaxwell)
function Dissipation(obj::GeneralizedMaxwell{<:IsoElastic})
Dα = map(Dissipation, obj.branches)
D(F, Fn, A...) = mapreduce((Di, Ai) -> Di(F, Fn, Ai), +, Dα, A)
end

function Dissipation(obj::GeneralizedMaxwell{<:AnisoElastic})
Dα = map(Dissipation, obj.branches)
D(F, N, Fn, A...) = mapreduce((Di, Ai) -> Di(F, Fn, Ai), +, Dα, A)
end


# =====================
# Internal functions
Expand Down