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Daily Concept Booster Civil Engineering : Volumetric strain

Volumetric strain (ϵv )-

 

Daily Concept Booster Civil Engineering : Volumetric strain_30.1

(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-

Daily Concept Booster Civil Engineering : Volumetric strain_40.1

(ϵV= ϵL+2ϵD )

Volumetric strain in spherical cell-

Daily Concept Booster Civil Engineering : Volumetric strain_50.1
(ϵv=3ϵD )

 

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