In fluid mechanics, simple shear is a deformation where only one component of velocity vectors has a non-zero value. In solid mechanics, simple shear is when there are a set of line elements with a given reference orientation that do not change length and orientation during the deformation. Pure shear is a three dimensional constant volume. Although these two numbers represent different conditions, the value of what the pure shear would be can be derived from simple shear measurements.
Instructions
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1
Calculate the deformation gradient for the simple shear term. This value should only have one non-zero term. The gradient of velocity is constant and perpendicular to the velocity itself.
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2
Calculate the solid rotation of the object. This value should have a rate equal to half the simple shear rate. This value should also have two non-zero terms.
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3
Subtract the value of the solid rotation from the value of the simple shear to find pure shear.