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Properties of Dental Materials

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Mechanical Forces and Elasticity

Modulus of Elasticity

Source equation

$\text{Modulus of elasticity} = \frac{\text{Stress}}{\text{Strain}}$

Modulus of Elasticity

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PDF page 106

\text{Modulus of elasticity} = \frac{\text{Stress}}{\text{Strain}}

The modulus of elasticity (also known as Young's modulus) measures a material's resistance to being deformed elastically when a force is applied. It is defined as the ratio of stress to strain within the elastic deformation region of a material.

Sources

PDF page 106

\text{Modulus of elasticity} = \frac{\text{Stress}}{\text{Strain}}

$\text{Modulus of elasticity} = \frac{\text{Stress}}{\text{Strain}}$

Sources

PDF page 106

\text{Modulus of elasticity} = \frac{\text{Stress}}{\text{Strain}}

Illustrative Calculation

Suppose a dental material experiences an elastic stress of $150\text{ MPa}$ and exhibits a corresponding elastic strain of $0.003$ (dimensionless).

Using the formula: $\text{Modulus of elasticity} = \frac{150\text{ MPa}}{0.003} = 50000\text{ MPa} = 50\text{ GPa}$

Sources

PDF page 106

\text{Modulus of elasticity} = \frac{\text{Stress}}{\text{Strain}}

$\text{Modulus of elasticity}$: The ratio of stress to strain, representing material stiffness · scalar
$\text{Stress}$: The applied force per unit area within the elastic limit · scalar
$\text{Strain}$: The proportional deformation (change in length divided by original length) · scalar