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Fully enriched weight functions in mesh-free methods for the analysis of linear elastic fracture mechanics problems

Namakian, R ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.enganabound.2014.02.006
  3. Abstract:
  4. The so-called enriched weight functions (EWFs) are utilized in mesh-free methods (MMs) to solve linear elastic fracture mechanics (LEFM) problems; the following issues are of concern: convergence behavior; sufficiency of EWFs to capture singular fields around the crack-tip; and the preservation of the J-integral path-independency. EWFs prove useful in conjunction with the moving least square reproducing kernel method (MLSRKM); for this purpose, both EWFs and MLSRKM are modified. Since EWFs are not truly representative of the near-tip solution, fully EWFs (FEWFs) are introduced. Finally, some descriptive examples address the aforementioned concerns and the accuracy and efficacy of the proposed technique
  5. Keywords:
  6. Fully enriched weight functions (FEWFs) ; J-integral ; Linear elastic fracture mechanics (LEFM) ; Mesh-free methods (MMs) ; Moving least square reproducing kernel method (MLSRKM) ; J integral ; Linear-elastic fracture mechanics ; Mesh-free method ; Reproducing kernel methods ; Weight functions ; Brittle fracture ; Least squares approximations ; Integral equations
  7. Source: Engineering Analysis with Boundary Elements ; Vol. 43 , 2014 , pp. 1-8
  8. URL: http://www.sciencedirect.com/science/article/pii/S0955799714000514