Calculate the Von Mises stress for a 2D stress state (Principal Stresses).
Principal Stresses
Equivalent Stress
Overview
Von Mises Stress (or Equivalent Stress) is a scalar value used to predict yielding of materials under complex loading. If the Von Mises stress exceeds the material's yield strength, yielding occurs.
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Pro Tips
Formula (2D): σ_vm = sqrt(σ1² - σ1*σ2 + σ2²)
σ1, σ2: Principal stresses
Applicable to ductile materials like steel/aluminum.
For 3D, adding σ3 makes the formula more complex.
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Fun Facts
"Richard von Mises proposed this criterion in 1913."
"It represents the distortional energy density of the material."
"Most finite element analysis (FEA) software reports results in Von Mises stress by default."
