M. Mihailescusuliciu et al., TRANSIENT-RESPONSE OF AN IMPULSIVELY LOADED PLASTIC STRING ON A PLASTIC FOUNDATION, Quarterly of applied mathematics, 54(2), 1996, pp. 327-343
The problem of an impulsive loading of a long rigid-plastic string res
ting on a rigid-plastic foundation is studied. A closed form solution
is obtained by disregarding the longitudinal motion and considering an
arbitrarily large transversal motion. Expressions for the final shape
of the string are derived in terms of the magnitude of the applied im
pulse. It is found that the stress and the foundation reaction force a
re not uniquely determined, while the shape of the string is.