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
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.