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Fatigue behaviour of composite tubes under multiaxial loading

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24<br />

Or<br />

Fifth International Conference on <strong>Fatigue</strong> <strong>of</strong> Composites<br />

N 10 S -<br />

= (21)<br />

46.0492 15.8161<br />

p, B B<br />

N95/95 is the structural safe life with 95% confidence and 95% reliability in different stress levels and<br />

it can be calculated by Eq. (18~21) or obtained from P-S-N curve which was measured by traditional<br />

group test method, in addition, the test value <strong>of</strong> N95/95 can be obtained from fatigue test data by<br />

probability-based method [4] as log fatigue life lgN obey normal distribution. Table.2 shows the value<br />

<strong>of</strong> N95/95,B given in different ways.<br />

Group Smax / MPa<br />

B<br />

Table 2. N95/95,B given in different ways<br />

Heteroscedastic<br />

regression analysis<br />

N95/95,B<br />

Group test<br />

method<br />

Test value<br />

(the control group)<br />

605 112 0 /<br />

557 417 6 61<br />

478 4689 571 13251<br />

414 45547 41081 57767<br />

366 319835 1605342 193566<br />

Selected the test value <strong>of</strong> N95/95,B as reference value, results <strong>of</strong> table 2 suggest that compared with<br />

traditional group test method the P-S-N curve given by the method <strong>of</strong> heteroscedastic regression<br />

analysis has higher precision.<br />

4. Conclusions<br />

1)By the method <strong>of</strong> heteroscedastic regression analysis, all the test data <strong>of</strong> an S-N curve in different<br />

stress levels can be analyzed as an integration, the use <strong>of</strong> test data is more fully than traditional methods.<br />

2)Fitting the group test data by the presented method can obtain the P-S-N curve with high precision.<br />

3)To the fatigue test data with large dispersivity, P-S-N curve with high confidence and high<br />

reliability can be given by this method also.<br />

References<br />

[1] FU HuiMin. Linear variance regression analysis[J]. Acta Aeronautica et Astronautica Sinica, 1994, 15(3):295~302.<br />

[2] FU HuiMin, LIU ChenRui. Small sample test method for S-N and P-S-N curves[J]. Journal <strong>of</strong> Mechanical Strength, 2006, 28(4): 552~555.<br />

[3] GAO ZhenTong. <strong>Fatigue</strong> reliability[M]. Beijing: Beijing University <strong>of</strong> Aeronautics and Astronautic Press, 2000.<br />

[4] WU FuMin. Structural fatigue strength[M]. Xi‟an: Northwestern Polytechnical University Press, 1985.

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