Tsai-Hill Criterion

The Tsai-Hill criterion [15] is a quadratic, interactive stress-based criterion that identifies failure, but does not distinguish between different modes of failure.

Failure occurs whenever the following condition is satisfied.

The coefficients Sij of the Tsai-Hill criterion are computed as follows:

= Value of σ11 at longitudinal tensile failure

= Value of σ11 at longitudinal compressive failure

= Value of σ22 at transverse tensile failure

= Value of σ22 at transverse compressive failure

= Absolute value of σ12 at longitudinal shear failure

If , then

If , then

If , then

If , then