This project was carried out in the Innovative Computational Engineering and Mechanics Laboratory (ICEML) @ Clemson University, Clemson, South Carolina, USA under the guidance of Dr. Lonny L Thompson and with considerable financial assistance from Michelin and BMW. In this thesis, the properties and effects of different material models are analyzed on a non-pneumatic tire when computational procedures like footprint analysis, vibration due to high speed rolling and energy loss from impact rolling over obstacles are performed.