Premium
A three‐dimensional explicit element‐free galerkin method
Author(s) -
Belytschko T,
Krysl P,
Krongauz Y
Publication year - 1997
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(199706)24:12<1253::aid-fld558>3.0.co;2-z
Subject(s) - galerkin method , slosh dynamics , finite element method , mathematics , bar (unit) , meshfree methods , element (criminal law) , computer science , mathematical optimization , mathematical analysis , structural engineering , engineering , physics , meteorology , political science , law
The formulation and implementation of a three‐dimensional meshless method, the element‐free Galerkin (EFG) method, are described. The formulation is intended for dynamic problems with geometric and material non‐linearities solved with explicit time integration, but some of the developments are applicable to other solution methods. The mechanical formulation is posed in the reference configuration so that the shape functions and their derivatives need to be computed only once. A method for speeding up the calculation of shape functions and their derivatives is presented. Results are presented for sloshing problems and Taylor bar impact problems, including an impact problem in which the bar impacts with an angle of obliquity. © 1997 John Wiley & Sons, Ltd.