The Evolution Equation for Wave Processes of the Shift Deformation

Yulia E. Ivanova; Victoria E. Ragozina

doi:10.4028/www.scientific.net/AMM.249-250.132

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 249-250The Evolution Equation for Wave Processes of the...

The Evolution Equation for Wave Processes of the Shift Deformation

Abstract:

One-dimensional process of formation and the subsequent motion of a plane transverse shock wave is studied on the basis of solutions of the corresponding nonlinear evolutionary equation. This equation defines behaviour of the solution in front area of wave process and follows from inner series of a matched asymptotic expansions method. A comparative analysis of the volume deformation and forming processes will be carried out and their basic differences are specified. In the capacity of model examples solutions of some concrete boundary value problems of a dynamic shear deformation are observed.

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Periodical:

Applied Mechanics and Materials (Volumes 249-250)

Pages:

132-136

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.249-250.132

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Online since:

December 2012

Authors:

Yulia E. Ivanova, Victoria E. Ragozina

Keywords:

Evolutionary Equation, Incompressibility, Method of Perturbations, Nonlinear Elasticity, Shock Wave

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References

[1] G.B. Whitham, Linear and Nonlinear Waves, Wiley Interseicnce, New York, (1974).

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[2] Ye.E. Ivanova, V.E. Ragozina, On axisymmetric motion of an incompressible elastic medium under impact loading, Journal of Applied Mechanics and Technical Physics. 47(2006) 892-898.

DOI: 10.1007/s10808-006-0129-6

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