Abstract
A mathematical model is proposed to analyze the dynamical behavior of elastic-nonlinear bars in which the stress-strain curve has no inflection points. This phenomenon is governed by nonlinear hyperbolic systems of differential equations that may present shock waves in their solution. We present the complete solution of the general associated Riemann problem and some typical results obtained numerically by Glimm's method for a finite bar left initially in a nonequilibrium state.
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