We study phonon behavior in nanostructured
 materials, such as carbon nanotubes, using
 a multi-scale approach combining tensor-based
 continuum modeling, representative area
 elements, and interatomic potentials.  Solutions
 are obtained via a small number of specially
 formulated shell-like finite elements.

We are just starting an effort to adapt our previous analytical and computational models of Front End Accessory Drives (FEADs) to model pushing-belt Continuously Variable Transmissions (CVTs).  CVTs typically see application in hybrid vehicles, but can also replace standard automatic transmission with fuel savings of nearly 10%.  Their operational behavior is significantly more complicated than conventional V-belt and serpentine drives due to hydraulically-controlled steady-state and shifting behavior.  The current project aims to develop highly-accurate nonlinear mechanics models coupled to high-fidelity control modeling.  The models are expected to yield higher torque-rated CVT designs which suffer from less slip, more efficiency, and greater longevity.

 We have developed an alternative
 computational modeling technique for studying
 elastodynamic wave motions and other
 problems in linear elasticity.

 The approach uses local rules dependent
 on a cell's state and its neigbors' states.
 Comparisons to staggered-grid finite
 difference simulations show that the
 cellulular automata approach is as
 accurate with less numerical 'ringing'
 and more symmetry in the left-ward and
 right-ward moving waves.

 Many future directions are being
 considered.