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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: [1]
The modulus of rigidity is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid a body is. The table given below briefs everything you need to know about rigidity modulus.
What is shear modulus? Shear modulus also known as modulus of rigidity is the ratio of the shear stress to the shear strain under the elastic limit. It reflects the stiffness of the material to resist the deformation occurring due to the application of shear stresses.
The shear modulus, Young’s modulus, and the bulk modulus each describe the elasticity or rigidity of a material, according to Hooke’s law. Young’s modulus measures the stiffness or linear resistance of a solid to deformation.
Shear Modulus (Modulus of Rigidity) is the elasticity coefficient for shearing or torsion force. Modulus of Rigidity - G - (Shear Modulus) is the coefficient of elasticity for a shearing force. It is defined as. "the ratio of shear stress to the displacement per unit sample length (shear strain)"
The elastic modulus for tensile stress is called Young’s modulus; that for the bulk stress is called the bulk modulus; and that for shear stress is called the shear modulus. Note that the relation between stress and strain is an observed relation, measured in the laboratory.
Shear modulus, numerical constant that describes the elastic properties of a solid under the application of transverse internal forces such as arise, for example, in torsion, as in twisting a metal pipe about its lengthwise axis. Within such a material any small cubic volume is slightly distorted.