Reference : A natural neighbour method for materially non linear problems based on Fraeijs de Veubek...
Scientific journals : Article
Engineering, computing & technology : Civil engineering
http://hdl.handle.net/2268/29875
A natural neighbour method for materially non linear problems based on Fraeijs de Veubeke variational principle
English
Xiang, Li [ > > ]
Cescotto, Serge mailto [Université de Liège - ULg > Département Argenco : Secteur MS2F > Mécanique des solides >]
Rossi, Barbara mailto [Université de Liège - ULg > Département Argenco : Secteur MS2F > Adéquat. struct. aux exig. de fonct.& perfor. techn.-écon. >]
Feb-2009
Acta Mechanica Sinica
Springer
25
1
83-93
Yes
International
0567-7718
1614-3116
Berlin
Germany
[en] Natural neighbour method ; Meshless method ; Fraeijs de Veubeke variational principle
[en] 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 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.
http://hdl.handle.net/2268/29875
10.1007/s10409-008-0200-z

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