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(a) (b) (c) (d)<br />

Figure 3.7. Simulations of the deformation mode of circular tubes with circumferential<br />

imperfections; a/t ratios a) 5%, b)10%, c)50% and d)100% (Source: Galip<br />

and Liman 2004).<br />

The static and dynamic crushing behavior of thin walled circular stainless steel,<br />

mild steel and Al alloy tubes were investigated (Hsu and Jones 2004). Energy efficiency<br />

factor was defined as total elastic and plastic strain energy absorbed by a structural<br />

member divided by the energy absorbed in the same volume of material up to the failure<br />

in tension for evaluating the <strong>crash</strong>worthiness level of structure. It was reported that<br />

stainless steel circular tubes absorbed the highest energy among the tested tubes (Figure<br />

3.8). However, calculated energy efficiency factor of stainless steel circular tube was<br />

found the lowest for both the quasi-static and impact loading. The critical specimen<br />

length for the transition from the efficient progressive buckling to the catastrophic<br />

global bending for quasi-static loading was found to be similar for three tubes. The<br />

critical tube length of the transition was shown to increase with increasing impact<br />

velocity.<br />

The crushing behavior of circular CR 1018 steel tubes with groove patterns was<br />

studied experimentally and numerically,(Mamalis, et al. 2003c). Model and simulations<br />

showed similar deformation modes (Figure 3.9(a) and (b)). The initial peak load value<br />

of grooved tube was found to be lower than that of non-grooved tube (Figure 3.9(c)).<br />

The number of grooves was found not to affect the peak load values in both experiments<br />

and simulations, while the number of load peaks and the values of mean load decreased<br />

with increasing number of grooves (Figure 3.9 (d)).<br />

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