A New Boundary Element Formulation in Engineering (Lecture Notes in Engineering) by Tania G.B. DeFigueiredo

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A New Boundary Element Formulation in Engineering (Lecture Notes in Engineering) by Tania G.B. DeFigueiredo

A New Boundary Element Formulation in Engineering (Lecture Notes in Engineering) by Tania G.B. DeFigueiredo
English | Aug 23, 1991 | ISBN: 354054030X | 209 Pages | PDF | 4 MB

1. 1 The Hybrid Displacement Boundary Element Model This work is concerned with the derivation of a numerical model for the solution of boundary-value problems in potential theory and linear elasticity. It is considered a boundary element model because the final integral equation involves some boundary integrals, whose evaluation requires a boundary discretization.
Furthermore, all the unknowns are boundary vari­ ables. The model is completely new; it differs from the classical boundary element formulation ·in the way it is generated and consequently in the fi­ nal equations. A generalized variational principle is used as a basis for its derivation, whereas the conventional boundary element formulation is based on Green's formula (potential problems) and on Somigliana's identity (elas­ ticity), or alternatively through the weighted residual technique. 2 The multi-field variational principle which generates the formulation in­ volves three independent variables.

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Tags: Boundary, Element, Formulation, Engineering, Lecture, Engineering, DeFigueiredo

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