Saint-Venant Torsion of Non-homogeneous Anisotropic Bars
Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JACM-2-1_006
تاریخ نمایه سازی: 9 خرداد 1396
Abstract:
The BEM is applied to the solution of the torsion problem of non-homogeneous anisotropic noncircular prismatic bars. The problem is formulated in terms of the warping function. This formulation leads to a second order partial differential equation with variable coefficients, subjected to a generalized Neumann type boundary condition. The problem is solved using the Analog Equation Method (AEM). According to this method, the governing equation is replaced by a Poisson’s equation subjected to a fictitious source under the same boundary condition. The fictitious load is established using the Boundary Element Method (BEM) after expanding it into a finite series of radial basis functions. The method has all the advantages of the pure BEM, since the discretization and integration are limited only on to the boundary. Numerical examples are presented which illustrate the efficiency and accuracy of the method
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Authors
John T. Katsikadelis
School of Civil Engineering, National Technical University of Athens Zografo2u Campus, Athens, 15773
George C. Tsiatas
Department of Mathematics, University of Patras Rio, 26504, Greece