@@ -121,38 +121,36 @@ struct ThermoElectroMech_Bonet{T<:Thermo,E<:Electro,M<:Mechano} <: ThermoElectro
121121 # Ψem, ∂Ψem∂F, ∂Ψem∂E, ∂Ψem∂FF, ∂Ψem∂EF, ∂Ψem∂EE = _getCoupling(obj.electro, obj.mechano, Λ)
122122 em = ElectroMechModel (obj. electro, obj. mechano)
123123 Ψem, ∂Ψem∂F, ∂Ψem∂E, ∂Ψem∂FF, ∂Ψem∂EF, ∂Ψem∂EE = em (;kwargs... )
124- gd (δθ ) = 1 / (γd+ 1 ) * (((δθ + θr) / θr)^ (γd+ 1 ) - 1 )
125- ∂gd (δθ ) = (δθ + θr) ^ γd / θr^ (γd+ 1 )
126- ∂∂gd (δθ ) = γd* (δθ + θr) ^ (γd- 1 ) / θr^ (γd+ 1 )
127- gv (δθ ) = 1 / (γv+ 1 ) * (((δθ + θr) / θr)^ (γv+ 1 ) - 1 )
128- ∂gv (δθ ) = (δθ + θr) ^ γv / θr^ (γv+ 1 )
129- ∂∂gv (δθ ) = γv* (δθ + θr) ^ (γv- 1 ) / θr^ (γv+ 1 )
124+ gd (θ ) = 1 / (γd+ 1 ) * ((θ / θr)^ (γd+ 1 ) - 1 )
125+ ∂gd (θ ) = θ ^ γd / θr^ (γd+ 1 )
126+ ∂∂gd (θ ) = γd* θ ^ (γd- 1 ) / θr^ (γd+ 1 )
127+ gv (θ ) = 1 / (γv+ 1 ) * ((θ / θr)^ (γv+ 1 ) - 1 )
128+ ∂gv (θ ) = θ ^ γv / θr^ (γv+ 1 )
129+ ∂∂gv (θ ) = γv* θ ^ (γv- 1 ) / θr^ (γv+ 1 )
130130
131131 J (F) = det (F)
132132 H (F) = det (F) * inv (F)'
133133
134- η (F)= α* (J (F) - 1.0 )+ Cv/ γv
135- ∂η ∂J (F)= α
136- ∂η ∂F (F)= ∂η ∂J (F)* H (F)
137- ∂2η ∂FF (F)= × ᵢ⁴ (∂η ∂J (F) * F)
134+ ηR (F)= α* (J (F) - 1.0 )+ Cv/ γv
135+ ∂ηR ∂J (F)= α
136+ ∂ηR ∂F (F)= ∂ηR ∂J (F)* H (F)
137+ ∂2ηR ∂FF (F)= × ᵢ⁴ (∂ηR ∂J (F) * F)
138138
139- Ψ (F, E, δθ , X... ) = Ψem (F, E, X... )* (1.0 + gd (δθ ))+ gv (δθ) * η (F)
139+ Ψ (F, E, θ , X... ) = Ψem (F, E, X... )* (1.0 + gd (θ ))+ gv (θ) * ηR (F)
140140
141- ∂Ψ_∂F (F, E, δθ , X... ) = (1.0 + gd (δθ )) * ∂Ψem∂F (F, E, X... ) + gv (δθ )* ∂η ∂F (F)
142- ∂Ψ_∂E (F, E, δθ , X... ) = (1.0 + gd (δθ )) * ∂Ψem∂E (F, E, X... )
143- ∂Ψ_∂δθ (F, E, δθ , X... ) = ∂gd (δθ ) * Ψem (F, E, X... ) + ∂gv (δθ) * η (F)
141+ ∂Ψ_∂F (F, E, θ , X... ) = (1.0 + gd (θ )) * ∂Ψem∂F (F, E, X... ) + gv (θ )* ∂ηR ∂F (F)
142+ ∂Ψ_∂E (F, E, θ , X... ) = (1.0 + gd (θ )) * ∂Ψem∂E (F, E, X... )
143+ ∂Ψ_∂θ (F, E, θ , X... ) = ∂gd (θ ) * Ψem (F, E, X... ) + ∂gv (θ) * ηR (F)
144144
145- ∂2Ψ_∂2F (F, E, δθ , X... ) = (1.0 + gd (δθ )) * ∂Ψem∂FF (F, E, X... ) + gv (δθ )* ∂2η ∂FF (F)
146- ∂2Ψ_∂2E (F, E, δθ , X... ) = (1.0 + gd (δθ )) * ∂Ψem∂EE (F, E, X... )
147- ∂2Ψ_∂2δθ (F, E, δθ , X... ) = ∂∂gd (δθ ) * Ψem (F, E, X... ) + ∂∂gv (δθ) * η (F)
145+ ∂2Ψ_∂2F (F, E, θ , X... ) = (1.0 + gd (θ )) * ∂Ψem∂FF (F, E, X... ) + gv (θ )* ∂2ηR ∂FF (F)
146+ ∂2Ψ_∂2E (F, E, θ , X... ) = (1.0 + gd (θ )) * ∂Ψem∂EE (F, E, X... )
147+ ∂2Ψ_∂2θ (F, E, θ , X... ) = ∂∂gd (θ ) * Ψem (F, E, X... ) + ∂∂gv (θ) * ηR (F)
148148
149- ∂ΨEF (F, E, δθ , X... ) = (1.0 + gd (δθ )) * ∂Ψem∂EF (F, E, X... )
150- ∂ΨFδθ (F, E, δθ , X... ) = ∂gd (δθ ) * ∂Ψem∂F (F, E, X... ) + ∂gv (δθ )* ∂η ∂F (F)
151- ∂ΨEδθ (F, E, δθ , X... ) = ∂gd (δθ ) * ∂Ψem∂E (F, E, X... )
149+ ∂ΨEF (F, E, θ , X... ) = (1.0 + gd (θ )) * ∂Ψem∂EF (F, E, X... )
150+ ∂ΨFθ (F, E, θ , X... ) = ∂gd (θ ) * ∂Ψem∂F (F, E, X... ) + ∂gv (θ )* ∂ηR ∂F (F)
151+ ∂ΨEθ (F, E, θ , X... ) = ∂gd (θ ) * ∂Ψem∂E (F, E, X... )
152152
153- η (F, E, δθ, X... ) = - ∂Ψ_∂δθ (F, E, δθ, X... )
154-
155- return (Ψ, ∂Ψ_∂F, ∂Ψ_∂E, ∂Ψ_∂δθ, ∂2Ψ_∂2F, ∂2Ψ_∂2E, ∂2Ψ_∂2δθ, ∂ΨEF, ∂ΨFδθ, ∂ΨEδθ, η)
153+ return (Ψ, ∂Ψ_∂F, ∂Ψ_∂E, ∂Ψ_∂θ, ∂2Ψ_∂2F, ∂2Ψ_∂2E, ∂2Ψ_∂2θ, ∂ΨEF, ∂ΨFθ, ∂ΨEθ)
156154 end
157155end
158156
0 commit comments