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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

Full Bibliographic Reference for this paper
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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