Poisson ratio is transverse to axial strain ratio

Poisson ratio is a physical quantity equal to the ratio of transverse strain to axial (or longitudinal) strain in the direction of a deforming force.

Notes:

1. The sign convention is as follows: positive strain indicates extension and negative strain indicates contraction.

2. The Poisson ratio and the Young modulus are all that is needed to completely describe elastic properties of an isotropic material.

Conditions:

1. The strains must be small.

Links:

1. Wikipedia.

poisson_ratio

poisson_ratio of the material of the deformed body.

Symbol:

nu

Latex:

\(\nu\)

Dimension:

dimensionless

transverse_strain

strain in the transverse (lateral) direction relative to the deforming force.

Symbol:

e_transverse

Latex:

\(e_\text{transverse}\)

Dimension:

dimensionless

axial_strain

strain in the axial direction, i.e. parallel to the deforming force.

Symbol:

e_axial

Latex:

\(e_\text{axial}\)

Dimension:

dimensionless

law

nu = -e_transverse / e_axial

Latex:

\[\nu = - \frac{e_\text{transverse}}{e_\text{axial}}\]