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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 26
ADVANCES IN COMPUTATIONAL MECHANICS Edited by: M. Papadrakakis and B.H.V. Topping
Paper IX.2
Solving the Elastostatic Problem by the Analog Equation Method J.T. Katsikadelis and C.B. Kandilas
Institute for Structural Analysis & Aseismic Research, National Technical University of Athens, Athens, Greece J.T. Katsikadelis, C.B. Kandilas, "Solving the Elastostatic Problem by the Analog Equation Method", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Computational Mechanics", Civil-Comp Press, Edinburgh, UK, pp 269-274, 1994. doi:10.4203/ccp.26.9.2
Abstract
A novel BEM-based method, the Analog Equation Method
(AEM), is employed to solve the plane elastostatic
problem described by the Navier Equations. The actual
problem is converted to an equivalent one described by two
uncoupled Poisson's Equations with fictitious source terms,
under the same boundary conditions. The fictitious sources
are established using the indirect BEM method for the
potential problem. The method incorporates features and
advantages FDM, FEM and BEM. Numerical examples
are presented, which illustrate the merits of the method as
well as its efficiency and accuracy.
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