Strain

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

strain 3strain 4Strain, abbreviated as \(\epsilon\) (Greek symbol epsilon), also called linear strain or longitudinal strain, is the deformation, stretched or compressed, of a material compared to its original length.

 

Strain formulas

\(\large{ \epsilon = \frac{ \Delta l }{ l_i }  }\)   
\(\large{ \epsilon = \frac { \sigma } { \lambda } }\)  (elastic modulus
\(\large{ \epsilon = \frac { \sigma } { E } }\)  (Young's modulus

Where:

\(\large{ \epsilon }\)  (Greek symbol epsilon) = strain

\(\large{ \lambda }\)  (Greek symbol lambda) = elastic modulus

\(\large{ \Delta l }\) = length differential

\(\large{ l_i }\) = initial length

\(\large{ \sigma }\)  (Greek symbol sigma) = stress

\(\large{ E }\) = Young's modulus

 

Tags: Equations for Strain and Stress