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Three Balls on a Plane

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Virtual Work and Shape Change in Solid Mechanics

Part of the book series: Springer Series in Solid and Structural Mechanics ((SSSSM,volume 7))

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Abstract

The equations of motion of a system made of three balls and a plane are derived. They describe the motion of billiard balls and of balls of the pétanque Provencal game.

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References

  1. J. Roggero, Le Livre de la pétanque et du jeu provençal, Granger (1983). ISBN 2-7339-0055-2

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  2. F. Caselli, M. Frémond, Collisions of three balls on a plane. Comput. Mech. 43(6), 743–754 (2009), doi:10.1007/s00466-008-0342-7

  3. M. Frémond, Collisions Engineering: Theory and Applications. Springer series in solid and structural mechanics (Springer-Verlag, Berlin, Heidelberg, 2017), doi:10.1007/978-3-662-52696-5

  4. P. Argoul, The non-smooth view for contact dynamics by Michel Frémond extended to the modeling of crowd movements. Discrete and Continuous Dynamical Systems. Series S 01/2013; 2(2) (2013), doi:10.3934/dcdss.2013.6.547

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Correspondence to Michel Frémond .

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Frémond, M. (2017). Three Balls on a Plane. In: Virtual Work and Shape Change in Solid Mechanics. Springer Series in Solid and Structural Mechanics, vol 7. Springer, Cham. https://doi.org/10.1007/978-3-319-40682-4_14

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  • DOI: https://doi.org/10.1007/978-3-319-40682-4_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40681-7

  • Online ISBN: 978-3-319-40682-4

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