Trefftz functions and application to 3D elasticity

• Autorzy: Lee C. Y. , Qin Q. H. , Wang H.
• Języki publikacji: EN

Abstrakty

EN

When solving complex boundary value problems, the primary advantage of the Trefftz method is that Tr-efftz functions a priori satisfy the governing differential equations. For the treatment of three-dimensional isotropic elasticity problems, it is proposed that the bi-harmonic solutions in Boussinesq's method can be expressed as half-space Fourier series to bypass the difficulties of integral ion. A total of 29 Trefftz terms for each component of the displacement vectors are derived from (he general solutions of the elasticity system. Numerical assessments on the proposed formulations arc performed through two examples (a cubic and a cylindrical body). Results arc compared with those from the method of fundamental solutions (MFS) and the commercial finite element method (FEM) software STRAND 7, suggesting that Trefftz functions can provide pseudo-stability, faster convergence and reduced error margins.

Słowa kluczowe

EN

Trefftz functions; Trefftz method; 3D elasticity

PL

funkcje Trefftza; metoda Trefftza

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2008
• Tom: Vol. 15, No. 3/4
• Strony: 251--263
• Opis fizyczny: Bibliogr. 15 poz., tab., wykr.

Twórcy

autor

Lee C. Y.

autor

Qin Q. H.

autor

Wang H.

• Henan University of Technology, Zhengzhou, China

Bibliografia

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