          # Shear modulus

• shear modulus
common symbols
g, s
si unitpascal
derivations from
other quantities
g = τ / γ g = e / 2(1+n) shear strain

in materials science, shear modulus or modulus of rigidity, denoted by g, or sometimes s or μ, is defined as the ratio of shear stress to the shear strain: where = shear stress is the force which acts is the area on which the force acts = shear strain. in engineering , elsewhere  is the transverse displacement is the initial length

the derived si unit of shear modulus is the pascal (pa), although it is usually expressed in gigapascals (gpa) or in thousands of pounds per square inch (ksi). its dimensional form is m1l−1t−2, replacing force by mass times acceleration.

• explanation
• shear waves
• shear modulus of metals
• shear relaxation modulus
## Shear modulusCommon symbolsG, SSI unitpascalDerivations fromother quantitiesG = τ / γ G = E / 2(1+n) Shear strain In materials science, shear modulus or modulus of rigidity, denoted by G, or sometimes S or μ, is defined as the ratio of shear stress to the shear strain: $G\ {\stackrel {\mathrm {def} }{=}}\ {\frac {\tau _{xy}}{\gamma _{xy}}}={\frac {F/A}{\Delta x/l}}={\frac {Fl}{A\Delta x}}$ where $\tau _{xy}=F/A\,$ = shear stress $F$ is the force which acts $A$ is the area on which the force acts $\gamma _{xy}$ = shear strain. In engineering $:=\Delta x/l=\tan \theta$ , elsewhere $:=\theta$ $\Delta x$ is the transverse displacement $l$ is the initial length The derived SI unit of shear modulus is the pascal (Pa), although it is usually expressed in gigapascals (GPa) or in thousands of pounds per square inch (ksi). Its dimensional form is M1L−1T−2, replacing force by mass times acceleration. Contents 1 Explanation 2 Shear waves 3 Shear modulus of metals 3.1 MTS model 3.2 SCG model 3.3 NP model 4 Shear relaxation modulus 5 See also 6 References  