Strain

#Physics

Topics

• Torsion
• Shear Strain
• Strain Energy

$\displaystyle \varepsilon=\frac{\Delta L}{L}$

• $\displaystyle \Delta L$ is the change in length of an object in response to a force
• $\displaystyle L$ is the length of the object without forces

$\displaystyle \varepsilon=\frac{1}{2}(\nabla \vec{u}+\nabla \vec{u}^{T})$

• $\displaystyle \vec{u}$ is the displacement vector field
• Is the symmetric component of $\displaystyle \nabla \vec{u}$
• From this video
• Taking the gradient gives a tensor
• Used for strains < 2%