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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics

Izv. Saratov Univ. Math. Mech. Inform., 2024, Volume 24, Issue 1, Pages 57–62 (Mi isu1008)

Asymptotic analysis of the axisymmetric problem for the transverse compression of a thin elastic disk in the case of mixed boundary conditions along its faces
J. D. Kaplunov, B. Zupančič, A. V. Nikonov

References

1. Goldenweiser A. L., Theory of Elastic Thin Shells, Nauka, M., 1976, 512 pp. (in Russian)  mathscinet
2. Kossovich L. Yu., Nonstationary Problems in the Theory of Elastic Thin Shells, Saratov State University Publ, Saratov, 1986, 176 pp. (in Russian)
3. Kaplunov J. D., Kossovich L. Ju., Nolde E. V., Dynamics of Thin Walled Elastic Bodies, Academic Press, San-Diego, 1998, 226 pp.  crossref  mathscinet  zmath
4. Kaplunov J. D., Kossovich L. Ju., Moukhomodiarov R. R., “Impact normal compression of an elastic plate: analysis utilising an advanced asymptotic 2D model”, Mechanics Research Communications, 27:1 (2000), 117–122  crossref  mathscinet  zmath
5. Agalovyan L. A., The Asymptotic Theory of Anisotropic Plates and Shells, Nauka, M., 1997, 414 pp. (in Russian)
6. Goldenweiser A. L., “General theory of thin elastic bodies (shells, coatings, and gaskets)”, Mechanics of Solids, 3 (1992), 5–17 (in Russian)
7. Kaplunov J., Prikazchikov D., Sultanova L., “Justification and refinement of Winkler – Fuss hypothesis”, Zeitschrift für angewandte Mathematik und Physik, 69 (2018), 80  crossref  mathscinet  zmath
8. Wilde M. V., Kaplunov J. D., Kossovich L. Yu., Edge and Interfacial Resonance Phenomena in Elastic Bodies, Fizmatlit, M., 2010, 280 pp. (in Russian)
9. Kaplunov J. D., Kossovich L. Ju., Wilde M. V., “Free localized vibrations of a semi-infinite cylindrical shell”, The Journal of the Acoustical Society of America, 107:3 (2000), 1383–1393  crossref


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