Application of Trefftz method to steady-state heat conduction problem in functionally gradient materials

• Autorzy: Kita E. , Ikeda Y. , Kamiya N.
• Języki publikacji: EN

Abstrakty

EN

This paper describes the application of Trefftz method to the steady-state heat conduction problem on the functionally gradient materials. Since the governing equation is expressed as the non-linear Poisson equation, it is difficult to apply the ordinary Trefftz method to this problem. For overcoming this difficulty, we will present the combination scheme of the Trefftz method with the computing point analysis method. The inhomogeneous term of the Poisson equation is approximated by the polynomial of the Cartesian coordinates to determine the particular solution related to the inhomogeneous term. The solution of the problem is approximated with the linear combination of the particular solution and the T-complete functions of the Laplace equation. The unknown parameters are determined so that the approximate solution will satisfy the boundary conditions by means of the collocation method. Finally, the scheme is applied to some numerical examples.

Słowa kluczowe

EN

Trefftz method; steady-state heat; heat conduction; functionally gradient materials

PL

konwekcja; materiały gradientowe

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2003
• Tom: Vol. 10, No. 3
• Strony: 339--351
• Opis fizyczny: Bibliogr. 17 poz., rys., wykr.

Twórcy

autor

Kita E.

• Graduate School of Information Sciences, Nagoya University

autor

Ikeda Y.

• Department of Mechanical Engineering, Daidoh Institute of Technology

autor

Kamiya N.

• Graduate School of Information Sciences, Nagoya University

Bibliografia

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