Weld Residual Stress Calculator

Estimate residual stress magnitude and distribution based on welding parameters and restraint conditions.

Higher restraint = higher residual stress

Residual Stress Characteristics

Location Stress Type Magnitude
Weld centerlineLongitudinalTension (max)
HAZ regionLongitudinalTension (high)
Away from weldLongitudinalCompression
Weld endsTransverseTension
Weld centerTransverseLower tension

Understanding Weld Residual Stress

Origin of Residual Stress

  • Thermal Expansion/Contraction: Heated weld metal expands then contracts on cooling against cooler surrounding material
  • Phase Transformations: Volume changes during solid-state transformations (austenite to martensite)
  • Plastic Strains: Yielding during thermal cycle leaves permanent strain incompatibilities
  • Restraint: External restraint prevents free contraction, increasing residual stress

Typical Stress Distributions

  • Longitudinal: Tensile at weld (up to yield), compressive away from weld (self-equilibrating)
  • Transverse: Tensile at weld ends, varies along length
  • Through-Thickness: Usually lower magnitude, varies with joint type

Effects of Residual Stress

  • Fatigue: Tensile residual stress reduces fatigue life
  • SCC: Stress corrosion cracking requires tensile stress
  • Brittle Fracture: Increases risk at low temperatures
  • Distortion: Residual stress released during machining causes movement

Stress Relief Methods

  • PWHT: 60-85% reduction typical, temperature and time dependent
  • Vibratory: 20-40% reduction, less effective than thermal
  • Peening: Introduces beneficial compressive surface stress
  • Mechanical Overload: Can redistribute but not eliminate stress