A Boundary Element Free Implementation Using NGF to Solve Fracture Mechanics Applications |
| Journal |
Key Engineering Materials (Volume 383) |
| Volume |
Progress in Fracture and Damage Mechanics |
| Edited by |
B.G. Falzon and M.H. Aliabadi |
| Pages |
85-96 |
| DOI |
10.4028/www.scientific.net/KEM.383.85 |
| Online since |
June, 2008 |
| Authors |
L.S. Miers,
J.C.F. Telles
|
| Keywords |
Boundary Integral Equations, Meshless Methods, Numerical Green’s Function |
| Abstract |
This work aims at introducing the concept of the numerical Green’s function (NGF) idea
for elastostatic fracture mechanics using the boundary element-free method (BEFM). Unlike the
local boundary integral equation method (LBIE), the BEFM only requires boundary interpolation.
This method derives from the coupling of the boundary integral equation method and the orthogonal
moving least-squares approximation scheme (OMLS). OMLS differs from standard MLS by using
an orthogonal basis instead of only a linear independent one, which increases its accuracy and
efficiency. Some illustrative examples are included in the end. |
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