My research integrates my work in complex fluids and granular media and the biomechanics of locomotion of organisms and robots to address problems in nonequilibrium systems that involve interaction of matter with complex media. For example, how do organisms like lizards, crabs, and cockroaches cope with locomotion on complex terrestrial substrates (e.g. sand, bark, leaves, and grass).

Dragomir Davidovic's research focuses on the exploration of physical properties that emerge in objects when their size approaches nanometer-scale. The objects of study are metallic or insulating particles, molecules, atomic-scale diameter wires, and droplets of one phase surrounded by another phase. Recent advances in lithography enable attachment of these objects to larger scale conducting electrodes, making it possible to explore their physical properties by electronic transport. The properties of nanoscale objects can be fundamentally different from those in bulk.