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Numerical Modeling of Contact-Impact Problems Using Polygonal Finite Element Method

Biabanaki, Omid Reza | 2012

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 43788 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Khoei, Amir Reza
  7. Abstract:
  8. A Polygonal finite element method without conforming mesh was introduced by the authors for modeling large deformation elastoplastic problems. In this method, the geometry and interfaces of the problem are modeled on a uniform mesh. The boundaries are defined on the uniform background mesh using the level set method. Different polygonal elements will be created at the intersection of the interface and the uniform mesh. Polygonal element shape functions are used for the interpolation. In this paper, the capability of this polygonal finite element approach for modeling large deformational frictionless dynamic contact-impact problems is investigated. Contact interfaces are modeled independent of the background mesh. Contact constraints are implemented on interface nodes including new generated nodes. Different approaches to numerical integration in polygonal elements for internal forces and kinematic energy are examined. It was shown that the best available easy-to-implement methods for polygonal shape functions in impact problems are Wachspress and Laplace shape functions. Finally, several contact-impact problems of elastic rings are modeled. A further investigation considered the contact pressure and the energies within the contacting bodies. The situation was modeled using the new method and the standard finite element method and the results compared
  9. Keywords:
  10. Penalty Function ; Node to Surface Algorithm ; Arbitrary Interface ; Free Boundaries ; Conforming Polygonal Finite Elements ; Dynamic Contact-Impact Problem

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