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Summary of Failure Criteria

The following table summarizes the failure criteria used to assess the safety of designs.

Criterion

Factor of Safety

Material Type

Maximum von Mises stress

  s limit / s vonMises

Ductile

Maximum shear stress

slimit /(2*tmax)

Ductile

Mohr-Coulomb stress

s 1 s TensileLimit  if s 1 > 0 and s 3 > 0

 

s 3  ≥ - s CompressiveLimit  if s 1  < 0 and s 3 < 0

 

{ s 1 / s TensileLimit + s 3  / s CompressiveLimit } (-1)

 

< 1  if s1 ≥ 0 and s3  ≤ 0

Brittle materials with different tensile and compressive strengths

Maximum normal stress

 slimit  / s1

Brittle

Maximum stress criterion (composites)

F.O.S. = 1/F.I.

Brittle

Tsai-Hill Failure criterion (composites)

Brittle

Tsai-Wu Failure criterion (composites)

Brittle

Click on each of the failure criterion for composites to know the meaning of the different symbols. 1 and 2 stand for material directions. X and S are normal and shear strengths of the composite.



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