Gauge factor

Gauge factor (GF) or strain factor of a strain gauge is the ratio of relative change in electrical resistance to the mechanical strain ε, which is the relative change in length.

GF = \frac{\frac{\Delta R}{R}}{\varepsilon} = \frac{\frac{\Delta\rho}{\rho}}{\varepsilon} %2B 1 %2B 2\nu

In practice, the resistance is also dependent on temperature. The total effect is

\frac{\Delta R}{R} = GF \varepsilon %2B \alpha \theta

Where

For many materials there is no change in resistivity (\Delta\rho=0), for these materiels the gauge factor is simply

GF =  1 %2B 2\nu

General examples of Gauge Factor values:

Material Gauge Factor
Metal foil strain gauge 2-5
Thin-film metal 2
Single crystal silicon -125 to + 200
Polysilicon ±30
Thick-film resistors 100