Natural neighbour method; Meshless method; Fraeijs de Veubeke variational principle
Abstract :
[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.
Disciplines :
Civil engineering
Author, co-author :
Xiang, Li
Cescotto, Serge ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Mécanique des solides
Rossi, Barbara ; Université de Liège - ULiège > Département Argenco : Secteur MS2F > Adéquat. struct. aux exig. de fonct.& perfor. techn.-écon.
Language :
English
Title :
A natural neighbour method for materially non linear problems based on Fraeijs de Veubeke variational principle
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