2.3. Failure Criteria Overview

All available failure criteria are listed together with their failure mode abbreviations as used in failure mode plots.

Terms:

  • e = strain, s = stress

  • 1 = material 1 direction, 2 = material 2 direction, 3 = out-of-plane normal direction, 12 = in-plane shear, 13 and 23 = out-of-plane shear terms

  • I = principal I direction, II = principal II direction, III = principal III direction

  • t = tension, c = compression

Criteria:

  • Maximum Strain: e1t, e1c, e2t, e2c, e12

  • Maximum Stress: s1t, s1c, s2t, s2c,s3t, s3c, s12, s23, s13

  • Tsai-Wu 2D and 3D: tw

  • Tsai-Hill 2D and 3D: th

  • Hashin: hf (fiber failure), hm (matrix failure), hd (delamination failure)

  • Puck (simplified, 2D and 3D Puck implementations are available): pf (fiber failure), pmA (matrix tension failure), pmB (matrix compression failure), pmC (matrix shear failure), pd (delamination)

  • LaRC 2D and 3D: lft3 (fiber tension failure), lfc4 (fiber compression failure under transverse compression), lfc6 (fiber compression failure under transverse tension), lmt1 (matrix tension failure), lmc2/5 (matrix compression failure)

  • Cuntze 2D and 3D: cft (fiber tension failure), cfc (fiber compression failure), cmA (matrix tension failure), cmB (matrix compression failure), cmC (matrix wedge shape failure)

  • Sandwich failure criteria:

    • Wrinkling: wb (wrinkling bottom face), wt (wrinkling top face)

    • Core Failure: cf

    • Shear Crimping failure criteria: sc

  • Isotropic failure criteria - Von Mises: vMe (strain) and vMs (stress)

Weighting factor: The inverse reserve factor of each failure mode is multiplied by the accordant weighting factor.

  • 1: no safety

  • 2: safety of two