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Polygonal Finite Element Modeling of Fracture Mechanism and Crack Propagation

Yasbolaghi, Reza | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 43858 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Khoei, Amir Reza
  7. Abstract:
  8. Fracture is one of the most important engineering problems, and the lack of knowledge about this phenomenon will result in loss of life and property. Before the computer age, fracture mechanics has been studied by many analytical mechanics researchers; and after that, lots of attempts have been done to accurately model this phenomenon.
    Finite element method, one of the best methods in Computational Mechanics, is common in computational fracture mechanics. Polygonal finite element is a new concept which has been recently applied in finite element analysis. This research utilized this concept in com-putational fracture mechanics. In another word, the crack discontinuity and crack tip singu-larity is modeled using polygonal finite element abilities.
    In presented teqnique, meshing and discretization process have been done just at the be-ginning of analysis. After that, affected elements by crack propagation have been replaced and modified by polygonal elements. Isoparametric mapping concept has been used for in-terpolating singular crack tip fields.
    In previous decade, various methods have been introduced for calculation of shape func-tions in polygonal elements; here, performance of generated elements by these methods has been evaluated and compared to analytical solutions. Comparision between results of this technique and previous analytical and numerical techniques shows appropriate perfor-mance
  9. Keywords:
  10. Finite Element Method ; Diffraction Phenomena ; Crack Propagation ; Polygonal Elements

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