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Modelling of Frictional Cracks by the Extended Finite Element Method Considering the Effect of Singularity

Saeed Monir, Saeed | 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 47242 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Khonsari, Vahid; Mohammadi, Soheil
  7. Abstract:
  8. When a crack is subjected to a compression field, it will close and its edges will get into contact with each other. Depending on the direction and magnitude of the loads and also the coefficient of friction, ‘stick’ or ‘slip’ situationsbetween the edges will occur. This type of crack is known as ‘frictional crack.’ In this project, first these cracks are studied analytically and the order of singularity is derived using asymptotic analysis and also the analytical fields are determined for both ‘isotropic’ and ‘orthotropic’ materials. Then, numerical simulations are carried out using extended finite element method which is considered as the most powerful means for analyzing the problems containing discontinuity and singularity. Penalty formulation is used to impose contact constraints between the edges of the crack. In addition, segment-to-segment approach is taken in order to define the contact constraints. Two distinct segmentations for the integration of contact constraints are investigated. Also new enrichment functions based on the singularities of the fields are defined in order to enhance the accuracy of simulation. Finally, various examples are provided in order to demonstrate the accuracy and efficiency of the method
  9. Keywords:
  10. Singularity ; Extended Finite Element Method ; Frictional Contact ; Contact Mechanics ; Enrichment ; Interface Crack ; Penalty Function ; Segment-to-Segment Contact

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