Journal article
Stability analysis of particle methods with corrected derivatives
Computers & mathematics with applications (1987), Vol.43(3), pp.329-350
2002
DOI: 10.1016/S0898-1221(01)00290-5
Abstract
The stability of discretizations by particle methods with corrected derivatives is analyzed. It is shown that the standard particle method (which is equivalent to the element-free Galerkin method with an Eulerian kernel and nodal quadrature) has two sources of instability:
1.
rank deficiency of the discrete equations, and
2.
distortion of the material instability.
The latter leads to the so-called tensile instability. It is shown that a Lagrangian kernel with the addition of stress points eliminates both instabilities. Examples that verify the stability of the new formulation are given.
Details
- Title: Subtitle
- Stability analysis of particle methods with corrected derivatives
- Creators
- T BelytschkoShaoping Xiao
- Resource Type
- Journal article
- Publication Details
- Computers & mathematics with applications (1987), Vol.43(3), pp.329-350
- DOI
- 10.1016/S0898-1221(01)00290-5
- ISSN
- 0898-1221
- eISSN
- 1873-7668
- Publisher
- Elsevier Ltd
- Language
- English
- Date published
- 2002
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064584802771
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