A SIMPLIFIED MODEL OF IMPACT

摘要

The standard Signorini contact condition is integrated against a given function ψ over the boundary to obtain a simplified model of contact suitable for impact problems. An implicit method (implicit mid-point rule for elasticity, and implicit Euler for the contact conditions) is proposed to numerically solve the simplified model, and some properties of the solution are obtained. The results are only partial at this stage, but they seem to indicate that contact forces in elastic impacts are considerably more regular than general measures.