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In materials science, shear modulus or modulus of rigidity, denoted by G, or sometimes S or μ, is a measure of the elastic shear stiffness of a material and is defined as the ratio of shear stress to the shear strain:

where

The derived SI unit of shear modulus is the pascal , although it is usually expressed in gigapascals or in thousand pounds per square inch. Its dimensional form is MLT, replacing force by mass times acceleration.

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