The Mechanical Engineering Handbook



Strain Energy Density

Strain Energy Density Equation



$$ U = \frac{1}{2} \sigma \epsilon $$ where:

U   =   Strain Energy Density   (J/m³)

σ   =   Stress   (Pa)

ε   =   Strain   (Dimensionless)


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Equation Assumptions



  • The material behaves in a linarlly elastic manner.
  • The material is isotropic.
  • The material is homogeneous.
  • The deformations are small.