|material||Typical values for
the shear modulus in G Pa
(at room temperature)
The shear modulus (also slip modulus , G-modulus , shear modulus or torsion modulus ) is a material constant that provides information about the linear-elastic deformation of a component as a result of a shear force or shear stress . The SI unit is Newton per square meter (1 N / m² = 1 Pa ), i.e. the unit of mechanical stress . In material databases , the shear modulus is usually given in N / mm² (= MPa) or kN / mm² (= GPa).
The shear modulus describes the relationship between the shear stress and the tangent of the shear angle (slip):
A first approximation can be used for small angles ( small-angle approximation ).
Relationship with other material constants
For linear-elastic, non - auxetic material, the Poisson's number is greater than or equal to zero. The energy conservation results in the positive definiteness of the compression module and the modulus of elasticity . It follows that the Poisson's number is below 0.5. This results in the shear modulus of most materials in the linear-elastic range:
Auxetic materials are defined to have a negative Poisson's number, which only a few materials do. Since the shear modulus has a positive definite size due to the conservation of energy, the following applies to auxetic materials in the linear-elastic range:
Since the modulus of elasticity is also positive definite, the range of validity results for the Poisson's number
Conversion between the elastic constants
|The module ...||... results from:|
|modulus of elasticity|
|1. Lamé constant|
Shear modulus or (2nd Lamé constant)
- Complex shear modulus
- Shear strength
- Thrust flow
- Continuum mechanics
- Strength theory
- Moment magnitude scale
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