Topic: Equilibrium Map Method
Team: Ryan Elliott, Ellad Tadmor Collaboration: N/A Funding: Pending

Description: 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 headon by the construction, using branchfollowing 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 enables a systematic procedure for identifying physicallymeaningful response scenarios. These include the limiting cases of a quasistatic process (QP) and quenched dynamic (QD), as well as the ratedependent case of driven dynamic (DD). The latter achived using a timedependent Kinetic Monte Carlo (KMC) prochedure, which enables atomistic simulations at realistic loading rates. As a first test, the method was 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.