Simple shear
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Simple shear
Simple shear is a special case of deformation of a fluid where only one component of velocity vectors has a non-zero value:
Vx = f(x,y)
Vy = Vz = 0
And the gradient of velocity is perpendicular to it:
,
where 
is the shear rate and:
The deformation gradient tensor Γ for this deformation has only one non-zero term:
Simple shear with the rate is the combination of pure shear strain with the rate of 
and rotation with the rate of :
An important example of simple shear is laminar flow through long channels of constant cross-section (Poiseuille flow).
