A partition of unity enriched dual boundary element method for accurate computations in fracture mechanics
By R. Simpson, Jon Trevelyan. 2011
66 citations recorded by the source corpus.
We introduce a novel enriched Boundary Element Method (BEM) and Dual Boundary Element Method (DBEM) approach for accurate evaluation of Stress Intensity Factors (SIFs) in crack problems. The formulation makes use of the Partition of Unity Method (PUM) such that functions obtained from a priori knowledge of the solution space can be incorporated in the element formulation. An enrichment strategy is described, in which boundary integral equations formed at additional collocation points are used to provide auxiliary equations in order to accommodate the extra introduced unknowns. In addition, an efficient numerical quadrature method is outlined for the evaluation of strongly singular and hypersingular enriched boundary integrals. Finally, results are shown for mixed mode crack problems; these illustrate that the introduction of PUM enrichment provides for an improvement in accuracy of approximately one order of magnitude in comparison to the conventional unenriched DBEM.
Subfields: Civil and Structural Engineering, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/3a32252beaa8969fd66ea59292b2b7a391ca4696
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In Civil and Structural Engineering
- Stéphane P.A. Bordas
- E. Ooi
- Francis Tin-Loi
- Chongmin Song
- Timon Rabczuk
- R. Simpson
- I. Chiong
- Jon Trevelyan
In Mechanics of Materials
- E. Ooi
- Stéphane P.A. Bordas
- Francis Tin-Loi
- Chongmin Song
- Timon Rabczuk
- Sundararajan Natarajan
- R. Simpson
- Jon Trevelyan
Citations in the corpus
- Scaled boundary polygons with application to fracture analysis of functionally graded materials (2014, background): “Although singular enrichment functions are still required [47, 48], mesh generation is significantly simpler because only the problem domain needs to be discretised.”
- A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis (2012, methodology): “To take account of this, we follow the same technique as used in [21,18] to distribute the jump term.”