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II.1.7.4 Full sets of equations

Finally, the full set of constitutive equation written with stiffness matrices looks like:

Alam Blam Blam Dlam ϵ0 lam κ lam = Nlam Mlam + αEhlam αEh2 lam (T0 - Tref) + αEh2 lam αEh3 lam T,z + βEhlam βEh2 lam (H0 - Href) + βEh2 lam βEh3 lam H,z, (II.1.84)

Glam Γ lam = Qlam + αsGhlam(T0 - Tref) + αsGh2 lamT,z + βsGhlam(H0 - Href) + βsGh2 lamH,z.(II.1.85)

The two previous expressions are inversed as follows:

alam blam bT lam dlam Nlam Mlam = ϵ0 lam κ lam + α0ϵ lam α 0κ lam (T0 - Tref) + α1ϵ lam α 1κ lam T,z + β0ϵ lam β 0κ lam (H0 - Href) + β1ϵ lam β 1κ lam H,z, (II.1.86)

Glam-1 Q lam = Γ lam -α0s lam(T0 - Tref) -α1s lamT,z -β0s lam(H0 - Href) -β1s lamH,z.(II.1.87)