08.02.2013 Views

Journal of Mechanics of Materials and Structures vol. 5 (2010 ... - MSP

Journal of Mechanics of Materials and Structures vol. 5 (2010 ... - MSP

Journal of Mechanics of Materials and Structures vol. 5 (2010 ... - MSP

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

730 BAHATTIN KILIC AND ERDOGAN MADENCI<br />

It is apparent in Figure B2 that the Poisson’s ratio approaches its theoretical value <strong>of</strong> 1<br />

4 with increasing<br />

plate thickness. Conversely, the Poisson’s ratio approaches 1<br />

3 with decreasing plate thickness. The<br />

internal length also affects the Poisson’s ratio substantially (Figure B2). The number <strong>of</strong> interactions for<br />

points shown in Figure 9 can be determined by finding the <strong>vol</strong>ume <strong>of</strong> points whose distance to point <strong>of</strong><br />

interest is less than the cut<strong>of</strong>f radius. Hence, the number <strong>of</strong> interactions for a point located at x can be<br />

computed as<br />

�<br />

χ(x) =<br />

|x ′ dVx ′. (B4)<br />

−x|

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!