Abstract
This chapter describes a class of asynchronous variational integrators (AVI) for nonlinear elastodynamics. The AVIs are characterized by a number of distinguishing attributes; the algorithms permit the selection of independent time steps in each element, the local time steps need not bear an integral relation to each other, and the algorithms derive result from a discrete version of Hamilton's principle. As a consequence of this variational structure, the algorithms conserve linear and angular momentum exactly. The chapter presents several numerical tests to reveal that energy is also conserved—a property that can probably be traced to the symplectic nature of the algorithm. The remarkable computational savings stemming from the asynchronous updates are also illustrated through the simulation of the dynamics of a helicopter rotor blade.
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