Plane waves in cubically nonlinear elastic media

International Applied Mechanics

Volumn 38, Issue 11, 2002, Pages 1361-1365

  Cattani, C ^a   Rushchitskii, Ya Ya ^b  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b S P TIMOSHENKO INSTITUTE OF MECHANICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; NONLINEAR SYSTEMS; SECOND HARMONIC GENERATION; TENSORS; WAVE EQUATIONS;

PLANE WAVES;

MATERIALS SCIENCE;

EID: 0036938456     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022649319505     Document Type: Article

References (13)

1. Z. A. Gol'dberg, "On the interaction of longitudinal and transverse plane waves," Akust. Zh., 6, No. 2, 307-310 (1960).
2. A. N. Guz, Elastic Waves in Prestressed Bodies, in two vols. [in Russian], Naukova Dumka, Kiev (1986).
3. L. K. Zarembo and V. A. Krasil'nikov, Introduction to Nonlinear Acoustics [in Russian], Nauka, Moscow (1966).
4. V. V. Krylov and V. A. Krasil'nikov, Introduction to Physical Acoustics [in Russian], Nauka, Moscow (1986).
5. Ya. Ya. Rushchitskii and S. I. Tsurpal, Waves in Materials with a Microstructure [in Ukrainian], Inst. Mekh. im. S. P. Timoshenko, Kiev (1998).
6. A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer-Verlag, Berlin (1999).
7. G. L. Jones and D. R. Kobett, "Interaction of elastic waves in an isotropic solid," J. Acoust. Soc. America, 35, No. 3, 5-10 (1963).
8. F. D. Murnaghan, Finite Deformation in an Elastic Solid, John Wiley, New York (1951).
9. J. J. Rushchitsky, "Interaction of waves in solid mixtures," Appl. Mech. Rev., 52, No. 2, 35-74 (1999).
10. Ya. Ya. Rushchitskii, "Extension of the microstructural theory of two-phase mixtures to composite materials," Int. Appl. Mech., 36, No. 5, 586-614 (2000).
11. Ya. Ya. Rushchitskii, "New solitary waves in elastic materials: existence and nonlinear interaction," Int. Appl. Mech., 37, No. 7, 921-928 (2001).
12. Ya. Ya. Rushchitskii, "Self-switching of waves in materials," Int. Appl. Mech., 37, No. 11, 1492-1498 (2001).
13. J. J. Rushchitsky, "Self-switching of displacement waves in elastic nonlinearly deformed materials," Comptes Rendus de l'Academie des Sciences, Serie IIb, 330, No. 2, 175-180 (2002).