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NDO
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Homework Statement
Consider a rectangular block of isotropic material of dimensions a, b and c, with c >> a
or b. It is characterised by its elastic constants: Young's modulus E, shear modulus G
and Poisson's ratio .
The block of material is subjected to axial deformation along the c dimension.
1. Derive an expression for the relative change in volume, change in V/
V , in term of Poisson's ratio.
2. Make a plot of the relative change in volume, change inV/ V , as a function of Poisson's
ratio varying from 0 to 0.5.
Homework Equations
Poisson's ratio = - Transverse strain / Axial strain
E = dl/L
The Attempt at a Solution
can the following formula be used G = E/(2(1+v)) i don't know whether v is poisson's ratio or what it is?
assuming the axial load is acting through c
the cross sectional area would be a*b
any help would be great especially if u can help me link poisson's ratio with G and E or explain why i would be required to use change in volume instead of length
cheers NDO