bulk modulus
1. The problem statement, all variables and given/known data
derive the equation for the bulk modulus, K = E/3(1  2v), where v is poisson's ratio. 2. Relevant equations E = stress/e, where e is strain 3. The attempt at a solution e_v = e_x + e_y + e_z e_y = e_z = v*e_x e_v = (1  2v)*e_x K = stress/e_v therefore K = stress/[(1  2v)*e_x] i am out by a factor of 1/3. where have i gone wrong? 
Re: bulk modulus
Here is a hint. e = epsilon sub x + epsilon sub y + epsilon sub z. Look at the equations for epsilon sub x, epsilon sub y, and epsilon sub z.
For instance, epsilon sub x = (sigma sub x) / E  (v*sigma sub y) / E  (v*sigma sub z) / E. 
Re: bulk modulus
Perhaps this will bring the answer out.
A body subjected to a uniform hydrostatic pressure all three stress components are equal to a p. 
Re: bulk modulus
Quote:

Re: bulk modulus
Yes that is right. But it is a negative 3. You are in compression.

All times are GMT 5. The time now is 11:49 AM. 
Powered by vBulletin Copyright ©2000  2014, Jelsoft Enterprises Ltd.
© 2014 Physics Forums