Effective Strain Calculator

Calculate Effective Strain (εe)











Formula

The formula to calculate the Effective Strain (εe) is:

\[ ε_e = \sqrt{\frac{2}{3} \left( (ε_{xx} - ε_{yy})^2 + (ε_{yy} - ε_{zz})^2 + (ε_{zz} - ε_{xx})^2 + 6(ε_{xy}^2 + ε_{yz}^2 + ε_{zx}^2) \right)} \]

Where:

What is Effective Strain?

Effective strain is a scalar measure of deformation that combines the effects of normal and shear strains in a material. It provides a single value that represents the overall strain experienced by the material, making it easier to compare and analyze the deformation. Effective strain is particularly useful in the fields of material science and engineering, where it is used to assess the performance and durability of materials under various loading conditions.

Example Calculation

Let's assume the following values:

Using the formula to calculate the Effective Strain:

\[ ε_e = \sqrt{\frac{2}{3} \left( (0.005 - 0.003)^2 + (0.003 - 0.002)^2 + (0.002 - 0.005)^2 + 6(0.001^2 + 0.0015^2 + 0.002^2) \right)} = 0.0056 \]

The Effective Strain (εe) is 0.0056.