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A hybrid‐Trefftz formulation for plane elasticity with selective enrichment of the approximations
Author(s) -
de Souza Charlton Okama,
Proença Sergio Persival Baroncini
Publication year - 2011
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1334
Subject(s) - elasticity (physics) , finite element method , mathematics , set (abstract data type) , plane stress , plane (geometry) , mathematical optimization , mathematical analysis , computer science , geometry , physics , structural engineering , engineering , thermodynamics , programming language
This work is related to the so‐called non‐conventional finite element formulations. Essentially, a methodology for the enrichment of the initial approximation which is typical of the meshless methods and based on the clouds concept is introduced in the hybrid‐Trefftz formulation for plane elasticity. The formulation presented allows for the approximation and direct enrichment of two independent fields: stresses in the domains and displacements on the boundaries of the elements. Defined by a set of elements and interior boundaries sharing a common node, the cloud notion is employed to select the enrichment support for the approximation fields. The numerical analysis performed reveals an excellent performance of the resulting formulation, characterized by the good approximation ability and a reduced computational effort. Copyright © 2009 John Wiley & Sons, Ltd.