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Sustainable Construction and Design <strong>2011</strong> Figure 1. Snaps from the symmetric Y-junction pulling Figure 2. Critical bond-length (1.7 Å) inside of node We show the results of runs carried out on asymmetric structure in Figure 3 and 4, where the tensile-test snaps of carbon nanotube Y-junction can be seen. The pulling takes place in the axial direction of tubes. According to the first appreciation still only can be decided that this structure will not rupture inside of node the bonding nomely here start to elongate in the greatest amount. Figure 3. The critical bond-length and the damage on an asymmetric junction respectively Figure 4. The critical bond-length and the damage on an another asymmetric junction respectively 130 Copyright © <strong>2011</strong> by Laboratory Soete
Sustainable Construction and Design <strong>2011</strong> 2.2 Symmetric calculating method During examining nanotube junctions lights was thrown that the symmetry has got a great effect to its strength properties This paper sums up the results reached in the theme concerning the searching of axial symmetries of planar configurations and examining the similarity of 2D-al configurations. 2.2.1. Method We search the symmetric axis of the configuration examined that we are scanning the plane with the hot direct lines passing through of the centre of gravity. During scanning we set out from that theses whereas all symmetrical axes have to pass through on the centre of gravity. We carry out a calculation method for all direct line passing the centre of gravity which results we put down. By evaluating of data got this way we select the spot of approximating and exact symmetry. We display the results presenting in diagram. During evaluating the diagram we examine the local maximum values. During our research work we have drawn up a symmetry searching algorithm, (Figure 5.) which by it is known in technical literature and can be applied in case of configurations with multiple complex outline, too. Figure 5. The algorithm 2.2.2. Calculating the symmetry-parameter The Z symmetry-parameter shows the approximation to the axial symmetry in numerical form. This is a number between 0 and 1, it can be a certain grade of the symmetry characteristic. We introduce the following Z parameter for the definition referring to the k. scanning level: k The calculation of Z k is simple in that case when on one scanning one-one intersection derives on the both sides of the axis. With the Figure Z. symbols: abs( b − j) Z k = − b + j 1 (6) Where: b: marks the left-hand side distance measured from symmetry axis of the perimeter section. j: marks the right-hand side distance measured from the symmetry axis of the perimeter section. The Z k is designed so if the section of configuration with the measuring direct line given is exatly symmetrical to the axis supposed, then b=j, this Z k =1. The better the configuration approximate to the symmetric the move it will be nearer the Z k to 1 (figure 6). 131 Copyright © <strong>2011</strong> by Laboratory Soete
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