Puck criterion

II.1.10.17 Puck criterion

This criterion is adapted to the justification of laminates with unidirectional plies. This criterion distinguishes two failure mode: one fiber failure mode in direction 1 and one matrix failure mode. One distinguishes three versions of the Puck criterion.

The first version of Puck failure index is calculated as follows:

F I^{Puck} = \max (|\frac{σ_{11}}{σ_{11}^{all}}|, \sqrt{{(\frac{σ_{22}}{σ_{22}^{all}})}^{2} + {(\frac{τ_{12}}{τ_{12}^{all}})}^{2}}),

in which the allowables $σ_{11}^{all}$ and $σ_{22}^{all}$ depend on the signs of $σ_{11}$ and $σ_{22}$ respectively. Ply passes the failure criterion if the two following conditions are satisfied

|σ_{11}| \leq σ_{11}^{all},

{(\frac{σ_{22}}{σ_{22}^{all}})}^{2} + {(\frac{τ_{12}}{τ_{12}^{all}})}^{2} \leq 1 .

The reserve factor is simply given by:

R F^{Puck} = \frac{1}{F o S \cdot \max (|\frac{σ_{11}}{σ_{11}^{all}}|, \sqrt{{(\frac{σ_{22}}{σ_{22}^{all}})}^{2} + {(\frac{τ_{12}}{τ_{12}^{all}})}^{2}})},

and the strength ratio is given by:

S R^{Puck} = F o S \cdot \max (|\frac{σ_{11}}{σ_{11}^{all}}|, \sqrt{{(\frac{σ_{22}}{σ_{22}^{all}})}^{2} + {(\frac{τ_{12}}{τ_{12}^{all}})}^{2}}) .

This criterion is referred to as “Puck” failure criterioncriterion in FeResPost.

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