When a plate falls on the ground, it breaks. We study this phenomenon at the macroscopic level. We restrict ourselves to 1-D problems and illustrate the theory with a chandelier to which a falling stone is tied. 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 may be solved in SBV (special functions of bounded variation). The example shows how the theory applies and gives realistic results.
Collisions and fracture : a l-D theory : how to tear off a chandelier from the ceiling / E. Bonetti, M. Frémond. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - 74:1(2004), pp. 47-66.
Collisions and fracture : a l-D theory : how to tear off a chandelier from the ceiling
E. Bonetti
;
2004
Abstract
When a plate falls on the ground, it breaks. We study this phenomenon at the macroscopic level. We restrict ourselves to 1-D problems and illustrate the theory with a chandelier to which a falling stone is tied. 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 may be solved in SBV (special functions of bounded variation). The example shows how the theory applies and gives realistic results.File | Dimensione | Formato | |
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