Saint-Venant torsion of non-homogeneous anisotropic bars
Journal Title: Journal of Applied and Computational Mechanics - Year 2016, Vol 2, Issue 1
Abstract
The BEM is applied to the solution of the torsion problem of non-homogeneous anisotropic non-circular 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.
Authors and Affiliations
John T. Katsikadelis, George C. Tsiatas
Keywords
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- EP ID EP178280
- DOI 10.22055/jacm.2016.12270
- Views 104
- Downloads 0
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Saint-Venant torsion of non-homogeneous anisotropic bars
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