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
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)
Von Mises yield and Von Mises ultimate failure analyses (2D and 3D)
Maximum transverse shear stress
Core ply material failure analysis
Interlaminar failure analysis (2D and 3D)
Laminate failure analysis references
Quick links
Command reference
Pre/Post video examples
Bulk Entry Descriptions
Simcenter 3D tutorials
Browse Simcenter 3D help by product area
Hill failure analysis (2D), Simcenter 3D 2021.1 Series
© 2020 Siemens
window.mainLanguage="en_US"
window.delivId=""
window.projectId=""
MathJax.Hub.Config({ TeX: { extensions: ["autoload-all.js"] }, tex2jax: { displayMath: [ ] }, "SVG": { scale: 125 } });
Source: https://docs.sw.siemens.com/en-US/doc/289054037/PL20200601120302950.advanced/id626766 · retrieved 2026-07-17