THREE-DIMENSIONAL FINITE-DEFORMATION MULTISCALE MODELING OF ELASTO-VISCOPLASTIC OPEN-CELL FOAMS IN THE DYNAMIC REGIME BY PEDRO A. ROMERO A dissertation submitted to the Graduate School—New Brunswick Rutgers, The State University of New Jersey in partial fulfillment of the requirements for the degree of Doctor of Philosophy Graduate Program in Mechanical and Aerospace Engineering Written under the direction of Dr. Alberto M. Cuiti˜ no and approved by New Brunswick, New Jersey May, 2008