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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 66
COMPUTATIONAL MECHANICS: TECHNIQUES AND DEVELOPMENTS Edited by: B.H.V. Topping
Paper IV.2
Finite Elements Derived from Symmetrical Boundary Elements M. Mazza and M. Aristodemo
Dipartimento di Strutture, Università della Calabria, Cosenza, Italy M. Mazza, M. Aristodemo, "Finite Elements Derived from Symmetrical Boundary Elements", in B.H.V. Topping, (Editor), "Computational Mechanics: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 75-79, 2000. doi:10.4203/ccp.66.4.2
Abstract
The possibility of deriving finite element models from the
boundary element discretization is studied. By referring
to plane elastic problems, a finite element is constructed
using the symmetrical Galerkin formulation of the boundary
element method. Displacements and tractions are approximated
over the boundary by polynomial functions.
The element strain energy is written in terms of displacement
parameters, by condensing the tractions by means
of the weighted boundary integral equations. The paper
pays attention to the computational aspects involved in
the actual construction of the stiffness matrix. The double
integrations required to evaluate the stiffness coefficients
are developed in analytical form and a limit process is
used to compute the terms associated to overlapping elements.
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