Define Poisson's Ratio.

Poisson's Ratio is named after Siméon Denis Poisson, is a material property that describes the ratio of lateral or transverse strain to the corresponding axial or longitudinal strain when a material is subjected to an applied load. It characterizes the material's ability to deform in response to stress. It is denoted by the Greek letter ν (nu). The formula for Poisson's Ratio is :

ν = \(-\frac{{\text{Lateral Strain}}}{{\text{Longitudinal Strain}}}\) = \(\frac{- \varepsilon_t}{\varepsilon_l}\)  

where :
- εₜ is the transverse strain (lateral strain).
- εₗ is the longitudinal strain (axial strain).

The negative sign indicates that the transverse strain is in the opposite direction of the longitudinal strain. Poisson's ratio typically ranges from -1 to 0.5, with certain materials exhibiting negative or near-zero values, while others have positive values.

Visualisation of the Strains (Source : whatispiping.com)

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