Journal article
Coupling of mesh-free methods with finite elements : basic concepts and test results
Communications in numerical methods in engineering, Vol.22(10), pp.1031-1065
2006
DOI: 10.1002/cnm.871
Abstract
This paper reviews several novel and older methods for coupling mesh-free particle methods, particularly the element-free Galerkin (EFG) method and the smooth particle hydrodynamics (SPH), with finite elements (FEs). We study master–slave couplings where particles are fixed across the FE boundary, coupling via interface shape functions such that consistency conditions are satisfied, bridging domain coupling, compatibility coupling with Lagrange multipliers and hybrid coupling methods where forces from the particles are applied via their shape functions on the FE nodes and vice versa. The hybrid coupling methods are well suited for large deformations and adaptivity and the coupling procedure is independent of the particle distance and nodal arrangement. We will study the methods for several static and dynamic applications, compare the results to analytical and experimental data and show advantages and drawbacks of the methods.
Details
- Title: Subtitle
- Coupling of mesh-free methods with finite elements : basic concepts and test results
- Creators
- T Rabczuk - Institute for Numerical Mechanics, University of Munich, Garching, GermanyS P Xiao - Department of Mechanical and Industrial Engineering, University of Iowa, Iowa City, United StatesM Sauer - Fraunhofer Institute for Short Time Dynamics, Ernst-Mach-Institute, Eckerstrasse 4, 79106 Freiburg, Germany
- Resource Type
- Journal article
- Publication Details
- Communications in numerical methods in engineering, Vol.22(10), pp.1031-1065
- DOI
- 10.1002/cnm.871
- ISSN
- 1069-8299
- eISSN
- 1099-0887
- Publisher
- Wiley; Chichester
- Language
- English
- Date published
- 2006
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064201602771
Metrics
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