In this paper we consider the longitudinal vibrations of bimodular rods. After proving the equivalence between the entropy condition and Lax condition (whenever this latter is applicable), we go on to consider the Riemann problem and prove that a unique solution always exists except for the special case of no-tension materials. This procedure allows for easy determination of the explicit solution.
Longitudinal oscillations of bimodular roads / M. LUCCHESI; A. PAGNI. - In: INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY & DYNAMICS. - ISSN 0219-4554. - STAMPA. - 5:(2005), pp. 37-53.
Longitudinal oscillations of bimodular roads
LUCCHESI, MASSIMILIANO;
2005
Abstract
In this paper we consider the longitudinal vibrations of bimodular rods. After proving the equivalence between the entropy condition and Lax condition (whenever this latter is applicable), we go on to consider the Riemann problem and prove that a unique solution always exists except for the special case of no-tension materials. This procedure allows for easy determination of the explicit solution.
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