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. 2021 Nov 20;14(22):7037. doi: 10.3390/ma14227037
εϕ circumferential strain,
εr radial strain,
εϕ(i) circumferential strain of the i-th layer,
εr(i) radial strain of the i-th layer,
u(i) radial displacement of i-th layer,
σϕ hoop stress,
σr radial stress,
σz axial stress,
σn,ϕ(i) hoop stress of i-th layer from fibre tension,
σn,r(i) radial stress of i-th layer from fibre tension,
σp,ϕ(i) hoop stress of i-th layer from internal pressure,
σp,r(i) radial stress of i-th layer from internal pressure,
E Young modulus,
E strain-hardening ratio, post-yield tangent,
Eϕ(i) Young moduli (circumferential direction for i-th layer),
Er(i) Young moduli (radial direction for i-th layer),
νrϕ(i) Poisson’s ratio that corresponds to a contraction in hoop direction when an extension is applied in radial direction (for i-th layer),
νϕr(i) Poisson’s ratio that corresponds to a contraction in radial direction when an extension is applied in hoop direction (for i-th layer),
γrϕ shear strain,
τrϕ shear stress,
Grϕ shear modulus,
u radial displacement,
p0 internal pressure,
pa internal pressure applied for i-th layer,
pb external pressure applied for i-th layer,
qi interlayer pressure applied for i-th layer,
ra(i) internal radius of i-th layer,
rb(i) external radius of i-th layer,
ρ concentric surface radius,
gi thickness of i-th layer,
k coefficient of anisotropy,
Fn rowing (fibre) tension force,
λ stress resulting from winding tension,
Vf fibre volume fraction,
ψ coefficient connecting fibre force tension with interlayer pressure,
ξ coefficient connecting fibre force tension with hoop stress.