Trefftz function for solving a quasi-static inverse problem of thermal stresses

• Autorzy: Grysa K. , Maciąg A. , Maciejewska B.
• Języki publikacji: EN

Abstrakty

EN

The problem of thermal stresses in a hollow cylinder is considered. The problem is two-dimensional and the cross-section of the hollow cylinder is approximated as a long and thin rectangle as the ratio of the inner and outer radiuses is close to one. On the outer boundary of the hollow cylinder the heat source moves with a constant velocity. In the case of the rectangle the heat source moves on the upper side and the conditions of eąuality of temperatures and heat fluxes are assumed on the left and right boundaries. The stresses are to be found basing on the temperature measured inside the considered region, which means that an inverse problem is considered. Both for the temperature field and the displacements and stresses the finite element method is used. Thermal displacement potentials are introduced to find displacements and stresses. In order to construct the base functions in each element the Trefftz functions are used. For the temperature field the time-space finite elements are used and for the thermal displacement potentials the spatial elements are applied. Thanks to the use of the Trefftz functions a low-order approximation has given a solution very close to the exact one.

Słowa kluczowe

EN

Trefftz functions; finite element method; thermal stresses; inverse; heat polynomials

PL

funkcje trefftz; metoda elementów skończonych; naprężenie cieplne; odwrotność; wielomiany ciepła

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2009
• Tom: Vol. 16, No. 3/4
• Strony: 251--266
• Opis fizyczny: Bibliogr. 26 poz., rys., tab.

Twórcy

autor

Grysa K.

autor

Maciąg A.

autor

Maciejewska B.

• Faculty of Management and Computer Modelling, Kielce University of Technology, Al. Tysiąclecia Państwa Polskiego 7,25-314 Kielce, Poland [e-mail], [e-mail],

Bibliografia

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