Mesoscopic approach to granular crystal dynamics
We present a mesoscopic approach to granular crystal dynamics, which comprises a three-dimensional finite-element model and a one-dimensional regularized contact model. The approach investigates the role of vibrational-energy trapping effects in the dynamic behavior of one-dimensional chains of particles in contact (i.e., granular crystals), under small to moderate impact velocities. The only inputs of the models are the geometry and the elastic material properties of the individual particles that form the system. We present detailed verification results and validate the model comparing its predictions with experimental data. This approach provides a physically sound, first-principle description of dissipative losses in granular systems.
© 2012 American Physical Society. Received 11 June 2011; revised manuscript received 13 November 2011; published 30 January 2012. M.G. and M.O. acknowledge partial funding of this work by the Department of Energy, National Nuclear Security Administration under Grant No.DE-FC52-08NA28613. J.Y. and C.D. acknowledge the US National Science Foundation (Grant No. CMMI 0844540-CAREER), the Army Research Office (Grant No. 54272-EG, Dr. Bruce LaMattina), and Multidisciplinary University Research Initiative (Dr. David Stepp).
Published - PhysRevE.85.016604.pdf
Submitted - 8EE2Bd01.pdf