1. Reference problem#
1.1. Geometry#
It is a thin sphere, with an average radius \({R}_{m}=2.5m\), and a thickness of \(t=0.1m\).
1.2. Material properties#
The material is homogeneous, isotropic, and linear elastic. The elastic coefficients are: \(E=\mathrm{200 000 }\mathrm{MPa}\) and \(\nu =0.3\).
The density is constant and is equal to: \(\rho =7800\mathrm{kg}/{m}^{3}\).
1.3. Boundary conditions and loads#
The structure is free in space.