EngiRef / Formulas

Von Mises Stress

Equivalent stress for 2D plane stress

Failure Theories

Source Details

Id

mat-von-mises

Name

Von Mises Stress

Discipline

materials

Category

Failure Theories

Latex

\sigma_v = \sqrt{\sigma_1^2 - \sigma_1\sigma_2 + \sigma_2^2}

Description

Equivalent stress for 2D plane stress

Conditions

Plane stress condition (σ₃ = 0)

Variables
[
  {
    "symbol": "σᵥ",
    "name": "Von Mises Stress",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  },
  {
    "symbol": "σ₁",
    "name": "Principal Stress 1",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  },
  {
    "symbol": "σ₂",
    "name": "Principal Stress 2",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  }
]
Solve For

σᵥ

Tags

von mises, equivalent, yield, failure

Is Custom

false