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Fatigue behaviour of composite tubes under multiaxial loading

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32<br />

3.3 <strong>Fatigue</strong> behavior<br />

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

Fig. 4. Temperature dependence <strong>of</strong> tensile and compressive strengths.<br />

The fatigue data for the stress ratios R = 0.1, 0.5, 10, -1.0, -0.553 (= ) that were obtained from<br />

constant amplitude fatigue tests at RT are shown Fig. 5, as plots <strong>of</strong> maximum fatigue stress level against<br />

the logarithm <strong>of</strong> number <strong>of</strong> reversals to failure log(2 N f ) . Note that while the values <strong>of</strong> max are<br />

plotted for T-T <strong>loading</strong> and T-C <strong>loading</strong> at R = , the absolute values <strong>of</strong> minimum fatigue stress min<br />

are plotted for C-C <strong>loading</strong> and T-C <strong>loading</strong> at R =- 1.<br />

The static tensile strength T and compressive<br />

strength C that were obtained at the same test temperature are plotted at 2N f = 1 as points <strong>of</strong> the<br />

ordinate in the S-N diagram, respectively. The dashed lines in the figure indicate the S-N curves fitted to<br />

the fatigue data. A nonlinear function <strong>of</strong> the same form as Eq. (8), which is presented later, was used to<br />

describe these S-N curves. The S-N curves fitted to the fatigue data help us not only to observe the<br />

similarity and difference in shape between the S-N relationships for different stress ratios, but also to<br />

evaluate the maximum fatigue stress levels for different constant values <strong>of</strong> life that are required to<br />

identify the experimental CFL diagram for the woven CFRP laminate; the construction <strong>of</strong> CFL diagram<br />

is discussed later.<br />

In Fig. 5, it is seen that the S-N relationships at RT greatly depend on stress ratio. The overall<br />

features in the sensitivity to mean stress are similar to those reported so far, e.g. [17-27]. The<br />

sensitivity to fatigue becomes highest <strong>under</strong> T-C <strong>loading</strong> at R = , suggesting that a larger value <strong>of</strong><br />

alternating stress amplitude has a more degrading effect on the fatigue <strong>of</strong> the <strong>composite</strong>. It is also seen<br />

in Fig. 5 that the S-N data for the stress ratios in the range R 1 can approximately be described<br />

by means <strong>of</strong> the smooth dashed curves that are connected with the point indicating the tensile strength.<br />

By contrast, the S-N curves fitted to the fatigue data for T-C ( R = -1 ) and C-C ( R = 10 ) fatigue<br />

<strong>loading</strong> can smoothly be connected to the compressive strength. The specimens are apt to fail in a<br />

compressive mode <strong>under</strong> the completely reversed <strong>loading</strong> condition at R = -1.0 since = -0.55 -<br />

1

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