Volumetric locking in the element free Galerkin method
Publication
, Journal Article
Dolbow, J; Belytschko, T
Published in: International Journal for Numerical Methods in Engineering
October 30, 1999
A new formulation of the Element Free Galerkin (EFG) method is developed for the modelling of incompressible materials. Beginning with a mixed variational principle, a selective reduced integration procedure is developed by implementing nodal quadrature. Numerical examples are provided which compare the performance of the proposed technique to the standard EFG approximation. These studies illustrate the capability of the new formulation to eliminate volumetric locking. For the standard method, however, the degree of volumetric locking is shown to be a function of the local support sizes (domains of influence) of the EFG shape functions. Copyright © 1999 John Wiley & Sons, Ltd.
Duke Scholars
Published In
International Journal for Numerical Methods in Engineering
DOI
ISSN
0029-5981
Publication Date
October 30, 1999
Volume
46
Issue
6
Start / End Page
925 / 942
Related Subject Headings
- Applied Mathematics
- 40 Engineering
- 09 Engineering
Citation
APA
Chicago
ICMJE
MLA
NLM
Dolbow, J., & Belytschko, T. (1999). Volumetric locking in the element free Galerkin method. International Journal for Numerical Methods in Engineering, 46(6), 925–942. https://doi.org/10.1002/(SICI)1097-0207(19991030)46:6<925::AID-NME729>3.0.CO;2-Y
Dolbow, J., and T. Belytschko. “Volumetric locking in the element free Galerkin method.” International Journal for Numerical Methods in Engineering 46, no. 6 (October 30, 1999): 925–42. https://doi.org/10.1002/(SICI)1097-0207(19991030)46:6<925::AID-NME729>3.0.CO;2-Y.
Dolbow J, Belytschko T. Volumetric locking in the element free Galerkin method. International Journal for Numerical Methods in Engineering. 1999 Oct 30;46(6):925–42.
Dolbow, J., and T. Belytschko. “Volumetric locking in the element free Galerkin method.” International Journal for Numerical Methods in Engineering, vol. 46, no. 6, Oct. 1999, pp. 925–42. Scopus, doi:10.1002/(SICI)1097-0207(19991030)46:6<925::AID-NME729>3.0.CO;2-Y.
Dolbow J, Belytschko T. Volumetric locking in the element free Galerkin method. International Journal for Numerical Methods in Engineering. 1999 Oct 30;46(6):925–942.
Published In
International Journal for Numerical Methods in Engineering
DOI
ISSN
0029-5981
Publication Date
October 30, 1999
Volume
46
Issue
6
Start / End Page
925 / 942
Related Subject Headings
- Applied Mathematics
- 40 Engineering
- 09 Engineering