Modeling of Uplift and Impact with Finite Element and Generalized Finite Element Methods

Eslahi, Reza | 2011

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 41578 (09)
  4. University: Sharif University of Technology
  5. Department: Civil Engineering
  6. Advisor(s): Khoei, Amir Reza
  7. Abstract:
  8. One of the most important issues in modeling natural phenomena that always takes into consideration is the problem of contact and collision between objects. Finite element method is known as the most basic and commonly used in numerical modeling techniques to simulate the above phenomenon.This method has specific problems such as dependency of this approach to the domain mesh especially near the contact region. Due to the dynamic and complex nature of impact problems in which drastic changes occur in short duration that often deals with large deformations, one of the perennial concerns, is the weaknesses of methods applied to enforce contact constrains, and so it is essential to use an appropriate technique for modeling contact and imposing contact constrains between objects and also predict the accurate time of occurring uplift between them. Generally this study examines two issues: First study of classical finite element methods and extended finite element method and discussion of their problems and presenting a new method as the generalized finite element method developed to address these problems and to reduce the dependency to mesh generation to acceptable limits. Then present a new suitable and optimized method for modeling and imposing contact constraints especially in problems with large deformations.
  9. Keywords:
  10. Finite Element Method ; Extended Finite Element Method ; Contact Problem ; Generalized Finite Element Method ; Uplift Modeling ; Impact Modeling

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