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On the use of element-free Galerkin Method for problems involving incompressibility

Title
On the use of element-free Galerkin Method for problems involving incompressibility
Type
Article in International Scientific Journal
Year
2007
Authors
recio, dp
(Author)
Other
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jorge, rmn
(Author)
FEUP
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dinis, lms
(Author)
Other
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Journal
Vol. 31
Pages: 103-115
ISSN: 0955-7997
Publisher: Elsevier
Indexing
Scientific classification
FOS: Engineering and technology > Other engineering and technologies
CORDIS: Technological sciences > Engineering
Other information
Authenticus ID: P-004-BZ1
Abstract (EN): The improvement of the performance of numerical methods, namely in the presence of incompressible deformations, have been, in the recent years, an important issue of discussion. However, incompressible or near incompressible behaviour has been a source of problems for numerical analysis of solid mechanics as the methods tend to present a locking response, or alternatively, spurious modes of deformation. The element-free Galerkin method (EFGM) is one of these methods, which exhibits some problems, namely, the so-called volumetric locking and hourglass. The first one is related with an inability to deform in some conditions. The hourglass is related with the apparition of non-physical eigenvectors. In this publication a new vision based in vector spaces theory is presented which can explain why these problems appear in the EFGM context.
Language: English
Type (Professor's evaluation): Scientific
Contact: rnatal@fe.up.pt
No. of pages: 13
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