http://imechanica.org/taxonomy/term/1634 Comments for "pile up" en http://imechanica.org/node/2451#comment-6134 <p> Xu, </p> <p> Recently I have published a paper in International Journal of Plasticity that discusses most of the issues that you have mentioned about dislocation transmission/emission at grain boundaries. The breakup of the Hall-Petch relation in nanocrystalline materials is also discussed based on physical and analytical arguments at the grain boundary. Here is the paper: </p> <p> <span class="style4"><strong><font color="#ff0000">Abu Al-Rub, R.K.</font></strong></span>, &quot;Interfacial gradient plasticity governs scale-dependent yield strength and strain hardening rates in micro/nano structured metals,&rdquo; International Journal of Plasticity (2007), <a href="http://www.sciencedirect.com/science?_ob=ArticleURL&amp;_udi=B6TWX-4PRYFYF-1&amp;_user=10&amp;_coverDate=09%2F26%2F2007&amp;_alid=643144556&amp;_rdoc=3&amp;_fmt=summary&amp;_orig=search&amp;_cdi=5574&amp;_sort=d&amp;_docanchor=&amp;view=c&amp;_ct=26&amp;_acct=C000050221&amp;_version=1&amp;_urlVersion=0&amp;_userid=10&amp;md5=0cd2c3ddfc35fe98bd5ed5b35e3e4c80" target="_blank">doi:10.1016/j.ijplas.2007.09.005</a> </p> <p> &nbsp; </p> <p> &nbsp; </p> <p> Rashid K. Abu Al-Rub, Ph.D. Texas A&amp;M University </p> <br class="clear" /> Fri, 14 Dec 2007 00:41:13 -0500 Rashid K. Abu Al-Rub comment 6134 at http://imechanica.org