Stress & Strain

Understanding von Mises stress, principal stresses, and what the numbers mean.


Von Mises stress

Von Mises stress consolidates the multi-axial stress state into a single scalar value. It's the standard metric for assessing yield risk in ductile materials like steel and aluminium.

Plastic deformation begins when the von Mises stress exceeds the material's yield strength (R_p0.2). The safety factor against yield is:

SF = Yield strength / Max von Mises stress

Principal stresses

The three principal stresses (σ₁ ≥ σ₂ ≥ σ₃) are the maximum normal stresses along the principal axes, directions with no shear stress.

Use principal stresses for:

  • Brittle materials (cast iron, ceramics), use maximum principal stress σ₁
  • Fatigue analysis, amplitude of principal stress drives crack initiation
  • Detailed stress assessment in critical regions

Which to use?

Dr.Q reports von Mises, Tresca, and maximum principal stress (σ₁) directly; the table below is general guidance on which measure matters for each failure mode.

SituationRecommended metric
Ductile material yield checkVon Mises stress
Brittle material fractureMaximum principal stress σ₁
Fatigue assessmentPrincipal stress amplitude
Weld seam evaluationNormal and shear stress components

Interpreting the colour scale

The default colour scale runs from blue (minimum) to red (maximum). Check that the scale bounds are sensible, if the maximum is dominated by a singularity at a sharp corner, the rest of the part will appear uniformly blue even though it may be highly stressed.

Manually set the scale maximum to the yield strength of the material. This gives an immediate visual indication of where the part yields and where it doesn't.