# Inflation of a stretched Mooney–Rivlin tube

The quarter tube of `nl-cylinder-inflation` (A = 10, B = 20, one unit long, 6 × 16 hybrid
hex20), now Mooney–Rivlin (E = 3, ν = 0.4995, so μ = 1.000333; C₀₁ = 0.2, C₁₀ = μ/2 − C₀₁) and
stretched axially by its end face (u_z = 0.5 at z = 1: λ_z = 1.5) while a follower pressure
p = 0.540850 inflates the bore. In plane strain (λ_z = 1) Mooney–Rivlin is neo-Hookean with
μ = 2(C₁₀ + C₀₁), since Ī₁ = Ī₂ there; the axial stretch makes the second invariant's share
count: σ_θ − σ_r = 2(λ_θ² − λ_r²)(C₁₀ + C₀₁ λ_z²). Integrated through the incompressible wall,
r² = a² + (R² − A²)/λ_z, that pressure puts the bore at a = 15 and the outer wall at
b = 20.615528.