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Various Criteria in Tensor Polynomial Form:
In this section we express the criteria/theory we have seen in tensor polynomial form as expressed by Equation (6.35).
1) Maximum Stress Theory:
The maximum stress theory can be given in tensor polynomial form as
Thus, the strength parameters corresponding to tensor polynomial criterion as in Equation (6.35) for maximum stress theory are:
The remaining strength parameters are zero. In above equation the higher order terms are neglected.
2) Tsai-Hill Theory:
Comparing Equation (6.20) with Equation (6.35), we get
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(6.77) |
3) Hoffman Theory:
Comparing Equation (6.33) and Equation (6.35), we get
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