Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/nonlinear-solitary-waves-in-nonlocal-elastic-solids-30RGK0WsrN
References (30)
-
(1987)
in Introduction to Micromechanics, Ed -
V. V. Krylov (1984)
Introduction to Physical Acoustics -
V. G. Bykov (2000)
Nonlinear Wave Processes in Geological Media -
(2008)
Translated by E -
S. A. Bakuta (1982)
Elastic Constants and Elastic Modulus of Metals and Nonmetals -
H. A. Erbay N. Duruk (1009)
1263v2 [math.AP] (2011) -
(1986)
Ul'yanov, Elastic and Inelastic Properties of Crystals -
U. K. Nigul (1981)
Nonlinear Deformation Waves -
(1988)
Introduction to the Theory of Nonlinear Waves (Mosk -
G. Whitham (1974)
Linear and Nonlinear Waves -
A. V. Radostin V. E. Nazarov (2009)
10.1134/S1063771009030075Acoust. Phys., 55
-
(1987)
A . V . Porubov , Localization of Nonlinear Waves of Defor mation ( Fizmatlit , Moscow , 2009 ) [ in Russian ] . 12 . V . I . Erofeev , Wave Processes in Solids with Microstruc ture ( Mosk -
(1975)
Elastic Media with Microstructure (Nauka -
(1974)
Linear and Nonlinear Waves (Wiley -
(2009)
Localization of Nonlinear Waves of Defor mation -
V. A. Krasil’nikov L. A. Zarembo (1970)
10.1070/PU1971v013n06ABEH004281Sov. Phys. Usp., 13
-
R. Stephenson (1962)
A and VBritish Journal of Ophthalmology, 46
-
(2000)
Nonlinear Wave Processes in Geological Media (Dal’nauka -
V. A. Krasil’nikov (1966)
Introduction to Nonlinear Physical Acoustics -
V. Rampton (1972)
Microwave Ultrasonics in Solid State Physics -
A. C. Eringen (2002)
Nonlocal Continuum Field Theories -
V. L. Ul’yanov (1986)
Elastic and Inelastic Properties of Crystals -
A. I. Potapov S. A. Lisina (2001)
10.1134/1.1403551Acoust. Phys., 47
-
I. A. Kunin (1975)
Elastic Media with Microstructure -
V. Erofeyev (2003)
Wave processes in solids with microstructure -
A. Benalal G. Pijaudier-Cabot (1993)
10.1016/0020-7683(93)90232-VInt. J. Solid Struct., 30
-
L. A. Ostrovsky (1990)
Nonlinear Wave Processes in Acoustics -
K. Tanaka (1987)
Introduction to Micromechanics -
R. Borst J. F. Graghoffer (2000)
10.1016/S0020-7225(99)00030-0Int. J. Eng. Sci., 38
-
H. O. K. Kirchner M. Lazar (2006)
10.2140/jomms.2006.1.325J. Mech. Mater. Struct., 1
- Publisher
- Springer Journals
- Copyright
- 2012 Pleiades Publishing, Ltd.
- ISSN
- 1063-7710
- eISSN
- 1562-6865
- DOI
- 10.1134/s1063771012010162
- Publisher site
- See Article on Publisher Site
Abstract
Abstract The possibility of new weakly nonlinear solitary waves in nonlocal elastic media is demonstrated. The properties of these waves are determined by the characteristic features of wave dispersion in the linear approximation, and their velocity and amplitude cannot exceed certain limiting values. In the case of small amplitudes and velocities close to the velocity of sound, the profile of the waves under consideration coincides with the profile of the soliton described by the Korteweg-de Vries equation. When the amplitude and velocity of the aforementioned waves reach their limiting values, the wave profile sharpens. It is concluded that the propagation of such waves in rocks and soils is possible.
Journal
Acoustical Physics – Springer Journals
Published: Mar 1, 2012
Keywords: Acoustics