Name
Title | ||
|---|---|---|
A critical comparison of several numerical methods for computing effective properties of highly heterogeneous materials |
Abstract | ||
|---|---|---|
Modelling transport and long-term creep in concrete materials is a difficult problem when the complexity of the microstructure is taken into account, because it is hard to predict instantaneous elastic responses. In this work, several numerical methods are compared to assess their properties and suitability to model concrete-like microstructures with large phase properties contrast. The methods are classical finite elements, a novel extended finite element method (@m-xfem), an unconstrained heuristic meshing technique (amie), and a locally homogenising preprocessor in combination with various solvers (benhur). The benchmark itself consists of a number of simple and complex microstructures, which are tested with a range of phase contrasts designed to cover the needs of creep and transport modelling in concrete. The calculations are performed assuming linear elasticity and thermal conduction. The methods are compared in term of precision, ease of implementation and appropriateness to the problem type. We find that xfem is the most suitable when the mesh if coarse, and methods based on Cartesian grids are best when a very fine mesh can be used. Finite element methods are good compromises with high flexibility. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.advengsoft.2012.12.002 | Advances in Engineering Software |
Keywords | Field | DocType |
concrete material,effective property,modelling transport,finite element method,classical finite element,long-term creep,complex microstructures,concrete-like microstructures,numerical method,difficult problem,large phase properties contrast,fine mesh,heterogeneous material,critical comparison,benchmark,representative elementary volume | Mathematical optimization,Heuristic,Regular grid,Computer science,Extended finite element method,Finite element method,Representative elementary volume,Computational science,Linear elasticity,Numerical analysis,Cartesian coordinate system,Structural engineering | Journal |
Volume | ISSN | Citations |
58, | 0965-9978 | 4 |
PageRank | References | Authors |
1.00 | 2 | 9 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Cyrille F. Dunant | 1 | 4 | 1.00 |
| BenoíT Bary | 2 | 4 | 1.34 |
| Alain B. Giorla | 3 | 4 | 1.00 |
| Christophe PéNiguel | 4 | 4 | 1.00 |
| Julien Sanahuja | 5 | 4 | 1.00 |
| Charles Toulemonde | 6 | 4 | 1.00 |
| Anh-Binh Tran | 7 | 4 | 1.00 |
| FrançOis Willot | 8 | 4 | 1.34 |
| Julien Yvonnet | 9 | 4 | 1.00 |