Stress and Strain
Stress = Force per unit area
Strain = fractional change in the solid
Stress $$\propto$$ Strain:
$$
\begin{eqnarray*}
F & = & {\cal Y} \quad {{\Delta L}\over L_0} \quad A, \qquad {\cal Y} = \mbox{Young's modulus} \\
F & = & {\cal S} \quad {{\Delta X}\over L_0} \quad A, \qquad {\cal S} = \mbox{shear modulus} \\
P = {F}/{A} & = & - {\cal B} \quad \frac{\Delta V}{V_0} , \qquad {\cal B} = \mbox{bulk modulus}
\end{eqnarray*}
$$
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