Elasticity

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Elasticity

Elasticity ( \(E\) ) or ( \(ELAS\) ) measures the stiffness of an elastic material.  Elasticity can deformed body and return to its original shape when the forces exerted are removed.

Elasticity Formula

\(E = \frac {  {v_l}^2   \rho  \left( 1 \;+\; Po  \right)  \left( 1 \;-\; 2Po  \right) }  { 1 \;-\; Po }  \)          \( elasticity  \;=\;  \frac {  { longitudinal \; velocity }^2 \;\;x\;\;  density \;  \left( \; 1 \;+\; Polsson's \; ratio  \; \right)  \; \left( \; 1 \;-\; 2  \;\;x\;\;  Polsson's \; ratio  \; \right) }  { 1 \;-\; Polsson's \; ratio }  \) 

Where:

\(E\) = elasticity

\(v_l\) = longitudinal velocity

\(\rho\) = density

\(Po\) = Polsson's ratio

 

Tags: Equations for Stress