Axial compression of a silicone cyclinder 1

[cuberille]

I am looking for the calculation that will tell me how much the diameter of a solid silicone cylinder will reduce under hydrostatic compression. The closest I have found so far is this:

http://www.engineerstoolbox.com/doc/etb/mod/stat1/pressure/pressure_help.html

but it requires an inner diameter. If no such calculation is available, is it acceptable to use an extremely small value for the ID instead?

Any help would be appreciated.
cuberille

 

[btrueblood]

For hydrostatic pressure, the principle stresses are equal (the stress is the same in all directions). The deflection is governed by (in linear elasticity) the bulk modulus "K", where K = E/(3*(1-2v)), where E is Young's modulus, v is Poisson's ratio. Change in volume is then given by dV/V = P/K, where V is volume, P is the applied hydrostatic pressure. You should be able to work out from there what the change in linear dimensions would be.