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The Mathematical Model of Reflection and Refraction of the Longitudinal Shock Wave at the Interface of Two Nonlinear Elastic Media

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Abstract:

The results of mathematical modeling of the dynamic interaction of a plane longitudinal shock wave with a plane interface between two isotropic nonlinear elastic materials are presented. The mechanical properties of deformable solid are given by the elastic Murnaghan model. The dynamic processes of deformations distribution are studied in the framework of the theory of singular surfaces. The numerical solutions of the corresponding self-similar problem with strong and weak deformations discontinuities in the reflected and refracted wave packages have been obtained on the basis of the developed scheme of computational experiment.

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Periodical:

Key Engineering Materials (Volume 685)

Pages:

51-55

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.685.51

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Online since:

February 2016

Authors:

Olga V. Dudko*, Victor I. Shtuka

Keywords:

Flat Deformations, Interface, Murnaghan Material, Nonlinear Elasticity, Quasi-Longitudinal Shock Waves, Quasi-Transverse Shock Waves, Reflection, Refraction, Riemann Wave, Shock Wave

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© 2016 Trans Tech Publications Ltd. All Rights Reserved

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