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II.1.10.21 Hashin criteria (3D)

A 3D version of the 2D criterion defined in section II.1.10.20 is defined as follows

Finally, the reserve factor is given by:

RFHashin3D = min RFb,RFc .

Here again, the calculation of failure index is based on the calculation of the reserve factor:

FIHashin3D = 1 RFHashin3D,

in which the safety factor used in the calculation of the RF is set to 1, and the strength ratio is calculated as

SRHashin3D = 1 RFHashin3D,

in which one keeps the value of safety factor.

The criterion presented above is referred to by “Hashin3D” criterion in FeResPost. Correspondingly, one defines version “Hashin3D_b” in which only the fiber failure is checked and “Hashin3D_c” in which only the matrix failure is checked. (These correspond to the values RFb and RFc calculated above.)