1. Reference problem

1.1. Geometry

Cylindrical tank of medium radius \(R=5.7m\), \(e=0.04m\) thick and \(L=16m\) high,, and in height, simply supported at its base (rotation is free), and subjected to internal hydrostatic pressure.

Average radius:	\(R=5.7m\)
Thickness:	\(e=0.04m\)
Height:	\(L=16m\)

1.2. Material properties

The properties of the materials constituting the plate are:

Material 1: isotropic elastic:	Young’s modulus	\(E=2.1{10}^{11}\mathrm{Pa}\)
	Poisson’s ratio	\(\nu =0.3\)
Material 2: orthotropic elastic: In order to get rid of the dependence of the notations on the orthotropy coordinate system, the material characteristics are given in the cylindrical coordinate system	\(\begin{array}{c}{E}_{r}\mathrm{=}2.1E11\mathit{Pa}\\ {E}_{\theta }\mathrm{=}2.1E11\mathit{Pa}\\ {E}_{z}\mathrm{=}4E11\mathit{Pa}\\ {\nu }_{r\theta }\mathrm{=}0.075\\ {\nu }_{rz}\mathrm{=}0.075\\ {\nu }_{\theta z}\mathrm{=}0.075\\ {G}_{r\theta }\mathrm{=}0.35E10\mathit{Pa}\\ {G}_{rz}\mathrm{=}0.45E10\mathit{Pa}\\ {G}_{\theta z}\mathrm{=}0.45E10\mathit{Pa}\end{array}\)

1.3. Boundary conditions and loads

Base \(z=0\) simply pressed

Internal pressure varying linearly as follows \(z\): \(p(z)=\mathrm{P0.}(L-z)/L\)

with \(\mathrm{P0}=15000\mathrm{Pa}\).

1.4. Initial conditions

Not applicable.