Amabile Tatone DISIM  -  Università degli Studi dell'Aquila

Contact interaction described by short range surface forces

Research group
Amabile Tatone a, Angelo Di Egidio a, Alessandro Contento a
a Università degli Studi dell'Aquila, L'Aquila, Italy
Project outline
The contact interaction between two bodies has been modeled by a field of short range forces described at a macroscopic scale by exponential laws. This relatively simple description allowed us to produce a nice tutorial in contact mechanics by considering an incompressible Mooney-Rivlin affine body undergoing short-range interactions with a flat, rigid surface --interactions meant to model impact, damping, friction, and adhesion. Numerical integration of a handful of ODE's provides vivid simulations of the motion of such an affine body--stiff or soft, heavy or light--that bounces, rocks, rolls, slides or gets stuck on a flat floor or a vertical wall. Though the macroscopic scale model can exhibit a realistic behaviour, information from a microscopic scale should be conveyed to the macroscopic level in order to relate the constituive laws to material surface properties. To this end both experimental methods and atomistic simulations worth to be explored.
A. Contento, A. Di Egidio, J. Dziedzic and A. Tatone, Modeling the contact of stiff and soft bodies with a rigid support by short range force fields, TASK Quarterly, 13 (1), 1001--1027, 2009
A. Tatone, A. Di Egidio and A. Contento. Dynamics of a Soft Contractile Body on a Hard Support, in Trends in Computational Contact Mechanics, G. Zavarise, P. Wriggers (Eds.), Springer-Verlag, 2011, ISBN: 978-3-642-22166-8, DOI 10.1007/ 978-3-642-22167-5 [pdf]
A. Contento, A. Di Egidio, A. Tatone, Simulation of Contact Among Rigid Surfaces by Using Short Range Force Fields, in Proceedings of the Ninth International Conference on Computational Structures Technology, B.H.V. Topping, M. Papadrakakis (Eds.), Civil-Comp Press, Stirlingshire, UK, Paper 211, 2008. doi:10.4203/ccp.88.211
A. Contento, A. Di Egidio, A. Tatone, Impact, bouncing and motility, Aimeta 19th National Congress, Ancona, September 14-17, 2009.
A. Contento, Short range contact interaction in rigid body dynamics, Aimeta 18th National Congress, Brescia, September 11-14, 2007.
A. Tatone, Contact mechanics in an affine nutshell, Mathematical Modeling, Mechanics & Materials, Udine, January 11-14, 2008.
A. Tatone, Bouncing, rolling and sticking of stiff and soft bodies, INTAS Project "Some Nonclassical Problems For Thin Structures", Final Meeting, Rome, January 22-23, 2009.
A. Tatone, Soft and rigid impact, 1st International Conference on Computational Contact Mechanics, Lecce, September 16-18, 2009.
Numerical simulations
Contact without friction
Contact with friction
Bouncing and rocking
Sloping plane
Bouncing disk
Rolling disk
Elastic bouncing
Elastic rolling
Very large deformations
Adhesion and detachment
Spinning top
Dice throwing
Creation date: March 22, 2008. Last updated: December 1, 2013.