Simulation of wave propagation in a piecewise homogeneous elastic rod

Maria Laura Martins-Costa, Rogério M Saldanha da Gama

Abstract


This article deals with modeling and simulation of the wave propagation phenomenon in a heterogeneous linear elastic rod treated as piecewise homogeneous. Employing a reference configuration approach the piecewise homogeneous elastic rod is mathematically described by a linear hyperbolic system of partial differential equations. Its generalized solution is obtained by connecting intermediate states by contact shocks – thus allowing analytical solutions for some initial value problems even when boundary conditions are considered.


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