Title: A natural neighbour method based on Fraeijs de Veubeke variational principle for materially non-linear problems
Authors: Li, Xiang ×
Cescotto, Serge
Rossi, Barbara #
Issue Date: 2009
Publisher: Science Press
Series Title: Acta Mechanica Sinica vol:25 issue:1 pages:83-93
Abstract: The natural neighbour method can be considered as one of many variants of the meshless methods. In the present paper, a new approach based on the Fraeijs de Veubeke (FdV) functional, which is initially developed for linear elasticity, is extended to the case of geometrically linear but materially non-linear solids. The new approach provides an original treatment to two classical problems: the numerical evaluation of the integrals over the domain A and the enforcement of boundary conditions of the type u i = ũ i on S u . In the absence of body forces (F i = 0), it will be shown that the calculation of integrals of the type ∫ A ⋅dA can be avoided and that boundary conditions of the type u i = ũ i on S u can be imposed in the average sense in general and exactly if ũ i is linear between two contour nodes, which is obviously the case for ũ i = 0.
ISSN: 0567-7718
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Non-KU Leuven Association publications
× corresponding author
# (joint) last author

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