Collisions and Fractures: A Predictive Theory

  • Elena Bonetti
  • Michel Frémond
Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 61)


Collisions and fractures in solids are investigated at the macroscopic level. The theory is discussed, explaining its main mechanical and analytical features by addressing a 1-D problem. The collisions are assumed instantaneous. Percussions are introduced at the unknown fracture points. Equations of motion and constitutive laws give a set of differential equations, whose corresponding variational problem is proved to admit solution in SBV (special functions of bounded variation). A coherent weak formulation of mechanical conditions for impenetrability is also provided.


Bounded Variation Virtual Work Variational Framework Predictive Theory Free Discontinuity Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Elena Bonetti
    • 1
  • Michel Frémond
    • 2
  1. 1.Department of MathematicsUniversity of PaviaPaviaItaly
  2. 2.Department of Civil EngineeringUniversity of Rome ” Tor Vergata”RomeItaly

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