Simple shear

In fluid mechanics, simple shear is a special case of deformation where only one component of velocity vectors has a non-zero value:

And the gradient of velocity is constant and perpendicular to the velocity itself:

where ${\displaystyle {\dot {\gamma }}}$ is the shear rate and:

The displacement gradient tensor Γ for this deformation has only one nonzero term:

Simple shear with the rate ${\displaystyle {\dot {\gamma }}}$ is the combination of pure shear strain with the rate of 1/2${\displaystyle {\dot {\gamma }}}$ and rotation with the rate of 1/2${\displaystyle {\dot {\gamma }}}$:

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