For more information about this meeting, contact Fei Wang, Toan Nguyen, Mark Levi, Victor Nistor, Jinchao Xu, Ludmil Zikatanov.
|Title:||Mapping the Stochastic Response of Nanostructures|
|Seminar:||CCMA Luncheon Seminar|
|Speaker:||Ellad Tadmor, University of Minnesota|
|Due to the extreme nonconvexity of the interatomic potential energy landscape the response of nanostructures to applied loading is inherently stochastic. This complexity is addressed head on by the construction, using branch-following and bifurcation (BFB) methods, of an "Equilibrium Map" (EM) of the nanostructure. The EM describes all of the stable and unstable states of the structure at each value of applied loading and thereby provides a systematic procedure for identifying physically-meaningful response scenarios. These include the limiting cases of a quasistatic process (QP) and quenched dynamic (QD), as well as the rate-dependent case of driven dynamic (DD). The method is applied to the uniaxial compression of a nanoslab of nickel modeled using a classical interatomic potential. The set of possible equilibrium solutions for this simple problem is surprisingly complex thereby demonstrating the need for such an approach.|
Room Reservation Information
|Date:||10 / 21 / 2013|
|Time:||12:20pm - 01:30pm|