The Fourier method in three-dimensional dynamical problems of the hemitropic theory of elasticity

• Autorzy: Bezhuashvili, Y. , Rukhadze, R.
• Języki publikacji: EN

Abstrakty

EN

The basic three-dimensional dynamical problems for a hemitropic (non-centrally symmetric) micropolar elastic medium are considered. Using the Fourier method, the solvability of the formulated by us problems is proved in a classical sense.

Słowa kluczowe

PL

metoda Fouriera; teoria sprężystości; dynamika

EN

Fourier method; theory of elasticity; dynamics

• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2012
• Tom: Vol. 35
• Strony: 5--21
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Bezhuashvili, Y.

• Department of Mathematics, Georgian Technical University, 77, M. Kostava Str., Tbilisi 0175, Georgia,

autor

Rukhadze, R.

• Department of Mathematics, Georgian Technical University, 77, M. Kostava Str., Tbilisi 0175, Georgia

Bibliografia

• [1] E. L. A'ero and E. V. Kuvshinskii, Continuum theory of asymmetric elasticity. The problem of "internal'' rotation. (Russian) Fiz. Tverd. Tela 5 2591-2598 (Russian); translated as Soviet Physics Solid State 5 1963 1892-1897.
• [2] J. P. Nowacki and W. Nowacki, Some problems of hemitropic micropolar continuum. Bull. Acad. Polon. Sci. Ser. Sci. Tech. 25 (1977), no. 4, 297-305.
• [3] L. Giorgashvili, Solution of fundamental boundary value problems of statics for a hemitropic micropolar medium. (Russian) Tbiliss. Gos. Univ. Inst. Prikl. Mat. Trudy 16 (1985), 56-80.
• [4] H. Weyl, Das asymptotische Verteilungsgesetze der Eigenschwingungen eines beliebig gestalteten elastischen Korpers. Rend. Circ. Mat. Palermo 39(1915), 1-49.
• [5] V. D. Kupradze, T. G. Gegelia, M. O. Basheleishvili and T. V. Burchuladze, Three-dimensional problems of the mathematical theory of elasticity and thermoelasticity. Translated from the second Russian edition. Edited by V. D. Kupradze. North-Holland Series in Applied Mathematics and Mechanics, 25. North-Holland Publishing Co., Amsterdam-New York, 1979.
• [6] D. Natroshvili, Estimates of Green's tensors of elasticity theory and their applications. (Russian). Tbilisi, Univ., Tbilisi, 1978.