Research ArticleOpen AccessGoogle Scholar indexed
Solution of Some Boundary Problems of Stationary Oscillation of Moment Theory of Elasticity Using Fourier Integral Transformation
Department of Mathematics, Georgian Technical University, Tbilisi, Georgia
- 1 Department of Mathematics, Georgian Technical University, Tbilisi, Georgia
Copy link · social · email
Abstract
We have considered the first version of the moment theory of elasticity, where Ω = 1 2 r o t U , where U is a displacement vector, and Ω-rotation vector. Using Fourier integral transformation, some boundary problems of the moment theory of elasticity, in particular, stationary oscillation problems for a semiplane and an endless strip, have been effectively solved.
KeywordsFourier Integral TransformationDisplacement VectorRotation VectorSemiplaneEndless Strip
- Nowacki, W. (1975) The Theory of Elasticity. Mir Publishers.
- Muskhelishvili, N. (1966) Some Basic Problems of Mathematical Theory of Elasticity. Nauka.
- Mindlin, R. (1964) Impact of Couple Stresses on Strain Concentration. In: Mekh anika : A Collection of Translations of Fo reign Articles , Mir Publishers, 4, 83.
- Obolashvili, E. (1979) Fourier Transformation and Its Applications in the Theory of Elasticity. Metsniereba.