Transient vibrations of an elastic cylinder inserted in the elastic medium

• Autorzy: Sulym H. , Timar I. , Turchyn I.

Identyfikatory

DOI

10.1515/ama-2016-0021

• Języki publikacji: EN

Abstrakty

EN

Using method of Laguerre polynomials we have obtained the solution of the dynamic problem of the theory of elasticity for elastic cylinder inserted into massive body modeled as a space. The source of non-stationary processes in composite is high intensity force load of the inner surface of the cylinder. On the surface separation of materials of space and cylinder the conditions of ideal mechanical contact are satisfied. The solution is obtained as series of Laguerre polynomials, which coefficients are found from recurrent relations. The results of numerical analysis of transient stress-strain state in elastic space with cylindrical insertion might be used for the technological process of hydraulic fracturing during shale gas extraction.

Słowa kluczowe

EN

transient wave propagation; nonhomogeneous medium; analytical solution; Laguerre polynomials

PL

propagacji fal; rozwiązanie analityczne; wielomiany Laguerre'a; teoria sprężystości; szczelinowanie hydrauliczne; gaz łupkowy

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2016
• Tom: Vol. 10, no. 2
• Strony: 133--136
• Opis fizyczny: Bibliogr. 15 poz., rys., wykr.

Twórcy

autor

Sulym H.

• Faculty of Mechanical Engineering, Bialystok University of Technology, Wiejska Str., 45C, 15-351 Bialystok, Poland

autor

Timar I.

• Faculty of Engineering, University of Pannonia, Egyetem str., 10, H-8200 Veszprem, Hungary

autor

Turchyn I.

• Pidstryhach IAPMM, NANU, Naukova str., 3b, 79060 Lviv, Ukraine

Bibliografia

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• 9. Sulym H., Hutsaylyuk V., Pasternak Ia., Turchyn I. (2013), Stressstrain state of an elastic rectangular plate under dynamic load, Mechanika, 19, 620–626.
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• 11. Theotokoglou E., Stampouloglou I. (2008), The radially nonhomogeneous elastic axisymmentric problem, International Journal of Solids and Structures, 45, 6535–6552.
• 12. Turchyn I., Turchyn O. (2013), Transient plane waves in multilayered half-space, Acta Mechanica et Automatica, 7, 53-57.
• 13. Wang X., Lu G., Guillow S. (2002), Stress wave propagation in orthotropic laminated thick-walled spherical shells, International Journal of Solids and Structures, 39, 4027-4037.
• 14. Yin X.C., Yue Z.Q. (2002), Transient plane-strain response of multilayered elastic cylinders to axisymmetric impulse, Journal of Applied Mechanics, 69, 825–835.
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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.