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Volumetric strain 
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#1
Dec306, 11:07 AM

P: 22

1. The problem statement, all variables and given/known data
How do I solve the following block to find the volumetric strain. Its question 3 on the link http://img201.imageshack.us/my.php?i...ile0001pf0.jpg I know that volumetric strain is equal to change in volume EV/ origninal volume(V) Is Ev = Ex + Ey + Ev equal to volumetric strain. I was told that the volumetric strain should be about 6.8 x 10^4 Any help would be appreciated people. 


#2
Dec306, 03:32 PM

Sci Advisor
P: 5,095

I am used to seeing volume dilation as the sum of the principal strains.
[tex]D = [\epsilon_1 + \epsilon_2 + \epsilon_3] = J_1[/tex] where [tex]J_1[/tex] is the first strain invariant. I would tackle the problem that way. Calculate the principal strains and add them together. EDIT: After looking at the problem, it is in a state of zero shear. Therefore [tex]\sigma_x[/tex], [tex]\sigma_y[/tex] and [tex]\sigma_z[/tex] are going to be the principal stresses. So, if you calculate the strains from the principal stresses you will be calculating the principal strains. Things should be pretty straight forward. I ended up calculating [tex]6.5 x 10^{4}[/tex] Do you know the 3 dimensional stressstrain relations that involve E and [tex]\nu[/tex]? 


#3
Dec406, 02:28 AM

P: 22

yes I do
E = 200x10^9 v = 0.3 


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