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Laminate Composites > Laminates theory > Laminates failure analysis

Von Mises yield and Von Mises ultimate failure analyses (2D and 3D)

Von Mises yield failure theory uses the yield strength of the isotropic material, SY.

Von Mises ultimate failure theory uses the ultimate tensile strength of the isotropic material, SU.

Strength Ratio

This software computes the strength ratio, SR, as follows:

For the Von Mises yield theory:

For the Von Mises ultimate theory:

where σVM is the Von Mises stress computed as follows:

  • For a 2D isotropic material:

  • For a 3D isotropic material:

Failure Index

This software computes the failure index, F, as follows:

Margin of Safety

This software computes the margin of safety, MS, as follows:

Look up more details

Laminate failure analysis nomenclature

Hill failure analysis (2D)

Hill failure analysis (3D)

Hoffman failure analysis (2D)

Hoffman failure analysis (3D)

Tsai-Wu failure analysis (2D)

Tsai-Wu failure analysis (3D)

Maximum stress failure analysis (2D)

Maximum stress failure analysis (3D)

Maximum strain failure analysis (2D)

Maximum strain failure analysis (3D)

LaRC02 failure analysis (2D)

Puck failure analysis (2D)

Maximum transverse shear stress

Core ply material failure analysis

Interlaminar failure analysis (2D and 3D)

Laminate failure analysis references

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Von Mises yield and Von Mises ultimate failure analyses (2D and 3D), Simcenter 3D 2021.1 Series

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Source: https://docs.sw.siemens.com/en-US/doc/289054037/PL20200601120302950.advanced/xid431720 · retrieved 2026-07-17