Meshless methods in dual analysis: theoretical and implementation issues
Visualitza/Obre
10.1016/j.enganabound.2013.08.016
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/78746
Tipus de documentArticle
Data publicació2013-12
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
This paper presents a meshless implementation of dual analysis for 2D linear elasticity problems. The derivation of the governing systems of equations for the discretized compatible and equilibrated models is detailed and crucial implementation issues of the proposed algorithm are discussed: (i) arising of deficiencies associated with the independent approximation field used for the imposition of the essential boundary conditions (EBC) for the two parts of the boundary sharing a corner and (ii) determination of the Lagrange multipliers functional space used to impose EBC. An attempt to implement the latter resulted in an approximation which is nothing more than the trace on the essential boundary of the domain nodal functions. The difficulties posed by such approximation are explained using the inf-sup condition. Several examples of global (energy) and local (displacements) quantities of interest and theirs bounds determination are used to demonstrate the validity of the presented meshless approach to dual analysis. Numerical assessment of the convergence rates obtained for both models is made, for different polynomial basis degree.
CitacióIvannikov, V., Tiago, C., Moitinho de Almeida, J.P., Diez, P. Meshless methods in dual analysis: theoretical and implementation issues. "Engineering analysis with boundary elements", Desembre 2013, vol. 37, núm. 12, p. 1728-1744.
GuardóDocument premiat
ISSN0955-7997
Versió de l'editorhttp://www.sciencedirect.com/science/article/pii/S0955799713001756
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
2013-EAWBE-ITMD-blanc.pdf | 1,758Mb | Visualitza/Obre |