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Self-similar problems of longitudinal wave propagation in nonlinear media

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Literature cited

  1. Kh. A. Raknmatulin and Yu. A. Dem'yanov, Strength under Intensive Short-Range Loads [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

  2. Kh. A. Rakhmatulin, “On plane wave propagation in an elastic medium for a nonlinear stress-strain dependence,” Uchen. Zap. Mosk. Univ., 3,. No. 152 (1951).

  3. G. I. Barenblatt, “On propogation of instantaneous perturbations in a medium with nonlinear stress-strain dependence,” Prikl. Mat. Mekh.,17, No. 4 (1953).

  4. W. K. Novacki, Wave Problems of Plasticity Theory [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  5. A. Ya. Sagomonyan, “Stress waves in continuous media,” Lecture Course, Part 2 [in Russian], Izd. Mosk. Univ., Moscow (1979).

    Google Scholar 

  6. R. Seshadri and M. C. Singh, “Similarity analysis of wave propagation problems in nonlinear rods,” Arch. Mech. Stosow.,32, No. 6 (1980).

  7. L. I. Sedov, Similarity and Dimensional Analysis in Mechanics [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  8. L. V. Ovsyannikov, Group Analysis of Differential Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  9. G. I. Barenblatt, Similarity, Self-Similarity, Intermediate Asymptotic [in Russian], Gidrometeoizdat, Leningrad (1978).

    Google Scholar 

  10. V. P. Yastrebov, “Self-similar problems of dynamic beam bending,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1 (1981).

  11. A. A. Yablonskii, Course in Theoretical Mechanics [in Russian], Part 2, Vysshaya Shkola, Moscow (1977).

    Google Scholar 

  12. R. Courant, Partial Differential Equations [Russian translation], Mir, Moscow (1964).

    Google Scholar 

  13. V. P. Yastrebov, “Self-similar problems of dynamic bending of infinite nonlinearly elastic beams,” Zh. Prikl. Mekh. Tekh. Fiz., No. 4 (1981).

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Authors and Affiliations

  1. Leningrad

    V. P. Yastrebov

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  1. V. P. Yastrebov
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 4, pp. 118–128, July–August, 1985.

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Yastrebov, V.P. Self-similar problems of longitudinal wave propagation in nonlinear media. J Appl Mech Tech Phys 26, 559–568 (1985). https://doi.org/10.1007/BF01101642

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  • DOI: https://doi.org/10.1007/BF01101642

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