Abstract
A model of nonlinear longitudinal wave propagation in a solid with quadratic nonlinearity of an elastic continuum exposed to laser impulses is developed in view of the interaction between the strain field and the field of point defects. The influence of the generation and recombination of laser-induced defects on the propagation of an elastic strain wave is analyzed. The existence of a nonlinear elastic shock wave of low intensity is revealed in the system and its structure is studied. The estimations of the depth and velocity of the wave front are performed. The contributions due to the interaction of the strain field and the field of defects to both a linear elastic modulus and the dispersion parameters of a lattice are found.
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References
Yu. K. Éngel’brekht and U. K. Nigul, Nonlinear Strain Waves (Nauka, Moscow, 1981).
A. M. Samsonov, G. V. Dreiden, A. V. Porubov, and I. V. Semenova, Pis’ma Zh. Tekh. Fiz. 22(21), 61 (1996) [Tech. Phys. Lett. 22, 891 (1996)].
G. V. Dreiden, Yu. I. Ostrovskii, and A. M. Samsonov, Zh. Tekh. Fiz. 58, 2040 (1988) [Sov. Phys. Tech. Phys. 33, 1237 (1988)].
A. M. Samsonov, G. V. Dreiden, A. V. Porubov, and I. V. Semenova, Phys. Rev. B 57, 5778 (1998).
A. M. Samsonov, Appl. Anal., 85 (1995).
M. Toda, in Springer Series in Solid State Sciences, Vol. 20: Theory of Nonlinear Lattices (Springer-Verlag, Berlin, 1981).
L. M. Lyamshev, Usp. Fiz. Nauk 135, 637 (1981) [Sov. Phys. Usp. 24, 977 (1981)].
A. M. Kosevich, Foundations of Crystal-Lattice Mechanics (Nauka, Moscow, 1972).
F. Mirzoev and L. A. Shelepin, Zh. Tekh. Fiz. 71(8), 23 (2001) [Tech. Phys. 46, 952 (2001)].
A. A. Karabutov, V. T. Platonenko, O. V. Rudenko, and V. A. Chupryna, Vestn. Mosk. Univ., Ser. 3: Fiz., Astron. 25(3), 88 (1984).
Yu. A. Bykovskii, Ionic and Laser Implantation of Metallic Materials (Énergoatomizdat, Moscow, 1991).
F. Mirzoev, V. Ya. Panchenko, and L. A. Shelepin, Usp. Fiz. Nauk 166, 3 (1996) [Phys. Usp. 39, 1 (1996)].
A. I. Lur’e, Nonlinear Theory of Elasticity (Nauka, Moscow, 1980).
V. I. Karpman, Non-Linear Waves in Dispersive Media (Nauka, Moscow, 1973; Pergamon, Oxford, 1975).
A. I. Potapov, Nonlinear Strain Waves in Rods and Plates (Gorki, 1985).
E. N. Pelinovskii, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 14(8), 67 (1971).
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Translated from Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 72, No. 10, 2002, pp. 53–57.
Original Russian Text Copyright © 2002 by Mirzoev.
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Mirzoev, F. Propagation of nonlinear longitudinal waves in a solid with regard to the interaction between the strain field and the field of defects. Tech. Phys. 47, 1258–1262 (2002). https://doi.org/10.1134/1.1514804
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DOI: https://doi.org/10.1134/1.1514804