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Laminate Composites > Laminates theory > Laminates failure analysis

Hill failure analysis (2D)

Failure Index

The expression of the Hill failure criterion is:

Where F is the failure index and:

For the cross term :

X = X**T if σ1 and σ2 are of the same sign.

X = X**C if σ1 and σ2 are of different signs.

For other variable definitions see Laminate failure analysis nomenclature.

Margin of Safety

The margin of safety calculated as a percentage, MS, is based on a quadratic equation, and can be reduced to:

Strength Ratio

The strength ratio, SR, is:

Look up more details

Laminate failure analysis nomenclature

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Laminate failure analysis references

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Hill failure analysis (2D), Simcenter 3D 2021.1 Series

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Source: https://docs.sw.siemens.com/en-US/doc/289054037/PL20200601120302950.advanced/id626766 · retrieved 2026-07-17