Abstract

The preceding chapters describe the evolution of rigid bodies which collide and the evolution of deformable solids which get smoothly in contact without velocity discontinuity, i. e., without those deformable solids encountering the action of percussions. In this chapter, collisions of deformable solids with volume discontinuities of velocity are investigated. The ideas developed in Chaps. 6 and 8 lead us to introduce percussions related to volume velocity discontinuities. The principle of virtual power in this situation is favourably replaced by its expression integrated with respect to time: the principle of virtual work. We assume that the two solids collide on conformal surfaces [157]. Thus the contact surface has a nonzero Lebesgue measure during the collision which is instantaneous.

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