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Contact and Impact
A. Contento, A. Di Egidio, J. Zdizdic, A. Tatone, 'Modeling the Contact of Stiff and Soft Bodies with a Rigid Support by Short Range Force Fields', TASK Quaterly, vol. 13 n.1, pp. 1001-1027, 2009.
The intereaction between two bodies (i.e. contact, impact and so on) can be modelled by using short range force fields described by exponential laws, with negative exponent. This simply description permits to reproduce almost all the interactions between a body and a rigid surface, such as impact, damping, friction, adhesion an so on. Several numerical simulation have demostred the effectiveness of this method to describe the interaction between rigid bodies of various shapes and a rigid planar surface.
 
 
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A. Tatone, A. Di Egidio, A. Contento, ‘Dynamics of a Soft Contractile Body on a Hard Support, Trends in Computational Contact Mechanics – Lecture Notes in Applied and Computational Mechanics (edited by G. Zavarise, P. Wriggers), Springer, ISBN: 978-3-642-22166-8, pp 193-210, 2011.
The method to describe the interaction between a body and a surface based on the use of short range force fields has been sperimented also in the case of deformable/contractile bodies. Several numerical simulation have demostred also in this case the effectiveness of this method to describe the interaction between affine bodies and a rigid planar surface.
 
 
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Numerical simulations
(from the website of prof. A. Tatone)
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Fig.4.1: Contact without friction between the cube and the support
Fig.4.2: Motion generated by an oscillating contractile couple with fixed principal axes
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