The Influence of Elastic Nonlinearity on Wave Processes in Media with Dislocations

Author:

Erofeev Vladimir I.1,Malkhanov Alexey O.1,Shekoyan Ashot V.1

Affiliation:

1. Russian Academy of Sciences

Abstract

It has been shown that account of elastic nonlinearity during the propagation of an acoustic wave in a solid lead to the appearance of a quadratic nonlinearity, which in its turn leads to the possibility of generating a wave of double frequency, the interaction of harmonics is asymmetric. The conditions under which nonlinear stationary waves are formed are considered. A phase portrait is constructed, and the dependence of the wavenumber of a nonlinear wave on its amplitude is estimated.

Publisher

Trans Tech Publications, Ltd.

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference7 articles.

1. Erofeev V.I., Zemlyanukhin A.I., Katson V.M. Nonlinear longitudinal magnetoelastic waves in a rod, Nonlinear World. 2009. Volume 7. Issue 7. pp.533-540 (in Russian).

2. Pustovalova O.G. Discontinuous solutions of problems in the nonlinear theory of elastic dislocations. Dissertation for the degree of candidate of physical and mathematical sciences. Rostov-on-Don: SFedU. 2008. 106 p. (in Russian).

3. Burlak G.N., Ostrovsky I.V. Acoustic hysteresis phenomena due to the dislocation nonlinearity in crystals, Technical Physics Letters. 1997. Volume 23. Issue 9. pp.725-726.

4. Erofeev V.I., Romashov V.P. Effect of dislocations on the dispersion and damping of ultrasound in solids, Technical Physics Letters. 2002. Volume 28. Issue 3. pp.218-220.

5. Erofeev V.I., Romashov V.P. Effect of the cyclic loading and deformation of a material on the characteristics of propagation of a longitudinal acoustic wave, Russian Journal of Nondestructive Testing. 2004. Volume 40. Issue 1. pp.46-50.

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