Some Aspects of One-Dimensional Finite Amplitude Elastic Wave Propagation
This chapter is concerned with certain aspects of the propagation of one dimensional waves in solids. The governing equations for the problems considered are partial differential equations in two independent variables, a spatial variable, denoted by x, and a temporal variable t. We concentrate on techniques pertinent to wave propagation and refer the reader to texts such as ,  and  for other aspects of the theory of partial differential equations. Additional information relevant to wave propagation may also be found in the books by Whitham  and Smoller .
We consider first order partial differential equations and systems of first order equations. The application of these systems to problems of one dimensional wave propagation in strings, membranes and unbounded solids is discussed.
KeywordsWeak Solution Riemann Problem Contact Discontinuity Simple Wave Order Partial Differential Equation
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