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Metal Foams: A Design Guide

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Cyclic loading of fasteners<br />

Cutting, finishing and joining 199<br />

Cyclic loading leads to a response typified by Figure 15.6. At peak cyclic<br />

loads, Fmax, below the monotonic pull-out load, Ff, the response (both for<br />

pull-out, Equation (15.3), and for bearing loads, Equation (15.6)) is essentially<br />

elastic until, at a critical number of cycles which depends on Fmax/Ff, the<br />

displacement per cycle increases dramatically. This response parallels that<br />

for fatigue of plain specimens (Chapter 8). Figure 15.7 shows a plot of load,<br />

normalized by the monotonic pull-out load, versus number of cycles to failure,<br />

defined as the number of cycles at the knee of the curves of Figure 15.6, for<br />

an embedded fastner subjected to cyclic pull-out loads. It resembles the S–N<br />

curves for metal foams, but the slope is slightly steeper, suggesting that damage<br />

accumulates slightly faster than in the cyclic loading of plain specimens.<br />

F max<br />

F p<br />

1<br />

0.9<br />

0.8<br />

0.7<br />

0.6<br />

0.5<br />

0.4<br />

0.3<br />

1<br />

Wood screw<br />

(Dry)<br />

A = 0.92, α = 0.06<br />

F max /F p = A N f −α<br />

Wood screw<br />

(Epoxy)<br />

A = 1.07<br />

α = 0.055<br />

Insert<br />

(Epoxy)<br />

A = 1.10<br />

α = 0.065<br />

10<br />

Number of cycles to failure, Nt 3 104 105 106 107 102 101 Figure 15.7 Cyclic peak-load plotted against number of cycles to failure for<br />

embedded fasteners<br />

References<br />

Burzer, J., Bernard, T. and Bergmann, H.W. (1998) Joining of aluminum structures with<br />

aluminum foams. In Shwartz, D.S., Shih, D.S., Evans, A.G. and Wadley, H.N.G. (eds), Porous<br />

and Cellular Materials for Structural Application, Materials Research Society Proceedings,<br />

Vol. 521, MRS, Warrendale, PA, USA<br />

Olurin, O.B. Fleck, N.A. and Ashby, M.F. (1999) Joining of aluminum foams with fasteners and<br />

adhesives. To appear in J. Mat. Sci.<br />

Sedliakova, N., Simancik, F., Kovacik, J. and Minar, P (1997) In Banhart, J. (ed), <strong>Metal</strong>lschäume,<br />

Fraunhofer Institut für Angewandte Materialforschung, Bremen, MIT Press, pp. 177–185.

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