Validating the Classical Failure Criteria for Applicability to the Notched Woven-Roving Composite Materials

Table 2

Reduced forms of the classical failure criteria according to fiber orientation.

Theory	[0°, 90°]2s	[±45°]
Hill criterion [35]	𝜎1𝐹1^2=1	𝜎6𝐹6^2=1
Tsai-Hill yield criterion [26], Norris distortional energy [20], Hoffman [21], Tsai and Wu [22], Tsai and Hahn [23], Cowin [24], and Puppo and Evensen [25] criteria	𝜎1𝐹1^2	𝜎1𝐹1^2+𝜎6𝐹6^2=1
Norris interaction [36]	𝜎1𝐹1^2	2𝜎1𝐹1^2+𝜎6𝐹6^2=1
Ashkenazi [37]	𝜎1𝐹1^2	2𝜎1𝐹1^2+𝜎6𝐹6^2−𝜎1𝐹6^2𝜎+1=1or2^1𝐹1^2+𝜎6𝐹6^2−𝜎1𝐹6^2=0