Daily Concept Booster Civil Engineering : Volumetric strain

Volumetric strain (ϵv )-

(ϵV= ϵx+ϵy+ϵz )
ϵv=(σx/E-μσy/E-μ σz/E)+(σy/E-μ σz/E-μ σx/E)+(σz/E-μ σx/E-μ σy/E)
(ϵv=(σx+σy+σz)/E (1-2μ)=∆V/V)
⇒ in incompressible fluid by applying load there will be no change in volume Strain is zero i.e. poissions ratio is 0.5.

Volumetric strain in circular parallel pipe-

(ϵV= ϵL+2ϵD )

Volumetric strain in spherical cell-

q
(ϵv=3ϵD )

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