Coupling of mesh-free methods with finite elements: basic concepts and test results

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, c...

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Vydáno v:Communications in numerical methods in engineering Ročník 22; číslo 10; s. 1031 - 1065
Hlavní autoři: Rabczuk, T., Xiao, S. P., Sauer, M.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Chichester, UK John Wiley & Sons, Ltd 01.10.2006
Wiley
Témata:
adaptivity
Boundaries
Computational techniques
Consistency
Dynamic tests
EFG
Exact sciences and technology
Finite element method
Fundamental areas of phenomenology (including applications)
Joining
Mathematical analysis
Mathematical methods in physics
mesh-free particle methods
Meshless methods
Physics
Shape functions
SPH
High strain
Smoothed particle hydrodynamics method
EFG
Master slave relationship
SPH
Experimental study
Finite element method
Crack bridging
Lagrange multiplier
Particle method
adaptivity
Granular materials
Meshless method
Modelling
Least square fit
mesh-free particle methods
ISSN:1069-8299, 1099-0887
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Shrnutí: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. Copyright © 2006 John Wiley & Sons, Ltd.
Bibliografie:ark:/67375/WNG-0VWFB900-T
ArticleID:CNM871
istex:45445B4AEE2D3E4D70C6BF33339D21B40C3B55AD
Publishing Arts Research Council - No. 98-1846389
Research Fellow.
Assistant Professor.
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ISSN:1069-8299
1099-0887
DOI:10.1002/cnm.871