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A boundary min-max principle as a tool for boundary element formulations

✍ Scribed by C. Polizzotto

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
473 KB
Volume
8
Category
Article
ISSN
0955-7997

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✦ Synopsis

A min-max principle for elastic solids, expressed in terms of the unknown boundary displacements and tractions, is presented. It is shown that its Euler-Lagrange equations coincide with the classical boundary integral equations for displacements and for tractions. This principle constitutes a suitable starting point for a symmetric sign-definite formulation of the boundary element method.

πŸ“œ SIMILAR VOLUMES

A boundary element formulation in time d
A boundary element formulation in time domain for viscoelastic solids
✍ Schanz, Martin πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 194 KB πŸ‘ 2 views

Viscoelastic solids may be eectively treated by the boundary element method (BEM) in the Laplace domain. However, calculation of transient response via the Laplace domain requires the inverse transform. Since all numerical inversion formulas depend heavily on a proper choice of their parameters, a d