consider a cube of isotropic elastic material (young's modulus: E, and poissons ratio: v) with edge length L has in its undeformed state a volume Vo=L^3.

A pressure p is applied to all faces

a) show that the edge length is given by L[1-p/E(1-2v)]

b) what is the relative volume change ΔV/Vo assuming small deformations only (p/E<<1)?

c)The bulk modulus K for such an experiment is defined by -ΔV/Vo = pK. Express the bulk modulus in terms of youngs modulus and poissons ratio

Expert Answer

No answer yet. Submit this
question to the community.