The Evolution Equations of Shock Deformation Problems with Plane Surfaces of Discontinuities in Elastic Inhomogeneous Mediums

Abstract:

For the model of the nonlinear elastic medium with inhomogeneous properties represented by a continuous change of the elastic moduli and density, the motion problems of a plane longitudinal or transverse shock waves are considered. The matched asymptotic expansions method allows to determine the evolution equations reflecting the nonlinearity of the wave processes and the inhomogeneity of the medium. The transition to the limiting inner problem of the small parameter method is dictated by the chain of inner problems, the solutions of which require a changes in all of the independent variables and their scales.

• Periodical: Applied Mechanics and Materials (Volume 756)
• Pages: 459-464
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.756.459
• Online since: April 2015
• Authors: Victoria E. Ragozina, Yulia E. Ivanova*
• Keywords: Evolution Equation, Inhomogeneity, Nonlinear Elastic Medium, Shear Deformation, Shock Waves, Volume Deformation

References

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DOI: 10.1016/0021-8928(78)90019-9

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