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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 66
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

Full Bibliographic Reference for this paper
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
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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