Abstract
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.
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Bonetti, E., Frémond, M. (2012). Collisions and Fractures: A Predictive Theory. In: Frémond, M., Maceri, F. (eds) Mechanics, Models and Methods in Civil Engineering. Lecture Notes in Applied and Computational Mechanics, vol 61. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24638-8_30
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DOI: https://doi.org/10.1007/978-3-642-24638-8_30
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