A thin spherical shell is subjected to an external pressure po. The volumetric strain of the spherical shell is (where d is the diameter of shell t is the thickness of the shell E is Young’s modulus of elasticity of shell material μ is Poisson’s ratio of shell material).
1
\(\frac{{{p_o}d}}{{4tE}}\left( {5 - 4\mu } \right)\)
2
\(\frac{{3{p_o}d}}{{4tE}}\left( {1 - \mu } \right)\)
3
\(\frac{{3{p_o}d}}{{4tE}}\left( {1 - 2\mu } \right)\)
4
\(\frac{{ - 3{p_o}d}}{{4tE}}\left( {1 - \mu } \right)\)