Eigenvalue approach to two dimensional problem of generalized thermoelasticity for a half - space with body-force

• Autorzy: Lahiri A. , Das B.
• Języki publikacji: EN

Abstrakty

EN

The theory of generalized thermoelasticity is applied to a two-dimensional problem for a half-space under the action of body forces. The surface is stress free with thermal shock. Double integral transforms (Laplace transform for time variable and Fourier transform for space variable) are used and the resulting equations are written in the form of a vector-matrix differential equation. The solution of the vector-matrix differential equation in the transformed domain are obtained by eigenvalue approach. The inversion of the Laplace transform is carried out numerically by the Bellman method and computations are done by Mathematica software. Finally, numerical computations of the temperature distribution, displacement and stress components are made and represented graphically.

Słowa kluczowe

EN

eigenvalue approach; body force; generalized thermoelasticity; half-space; Laplace and Fourier transform; vector-matrix differential equation

PL

termosprężystość; transformacja Fouriera i Laplace'a; równania różniczkowe

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2012
• Tom: Vol. 17, no. 2
• Strony: 419--437
• Opis fizyczny: Bibliogr. 16 poz., wykr.

Twórcy

autor

Lahiri A.

autor

Das B.

• Department of Mathematics Jadavpur University Kolkata - 700 032, INDIA,

Bibliografia

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