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Contact: collisions and fractures. A predictive theory

Contact: collisions and fractures. A predictive theory. Elena Bonetti, University of Pavia, Francesco Freddi, University of Parma, Michel Frémond, University of Roma Tor Vergata, Laboratorio Lagrange. Positions of the fractures are unknown. obstacle. Collision is instantaneous.

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Contact: collisions and fractures. A predictive theory

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  1. Contact: collisions and fractures.A predictive theory Elena Bonetti, University of Pavia, Francesco Freddi, University of Parma, Michel Frémond, University of Roma Tor Vergata, Laboratorio Lagrange.

  2. Positions of the fractures are unknown obstacle Collision is instantaneous. There are velocities before collision and velocities after collision Fractures result from the collision. Thus velocity is a discontinuous function of x

  3. with respect to time with respect to space right left The velocities are discontinuous:

  4. There are closed form solutions for 1-D problems: A stone is tied to a chandelier.

  5. The impenetrability condition is taken into account by This is an old idea of Jean Jacques Moreau. CRAS, 259, 1965, p. 3948-3950, Sur la naissance de la cavitation dans une conduite. Journal de Mécanique, 5, 1966, p. 439-470, Principes extrémaux pour le problème de la naissance de la cavitation.

  6. The damage after collision DivU after collision

  7. Effect of the velocity

  8. Numerical Simulation Two representative cases have been analyzed: all the parameters are fixed except the density of the material thus an heavy material and a light material, having the same resistance, have been considered (a ratio between the material densities equal to 10 has been adopted). rigid velocity undamaged material

  9. Numerical Simulation: heavy material

  10. Numerical Simulation: heavy material

  11. Numerical simulation: light material

  12. Numerical Simulation Rectangular slab M. Zineddin, T. Krauthammer, Int. J. Impact Eng. 34, 2007 Imposed percussion

  13. We have a schematic description of this phenomenon with 7 parameters

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