Loading...

Arbitrary Discontinuities in Transient Dynamic Finite Element Modeling Using the Level Set and X-FEM Techniques

Khaleghi, Maryam | 2012

710 Viewed
  1. Type of Document: M.Sc. Thesis
  2. Language: English
  3. Document No: 43226 (53)
  4. University: Sharif University of Technology, International Campus, Kish Island
  5. Department: Science and Engineering
  6. Advisor(s): Khoei, Amir Reza; Mofid, Masoud
  7. Abstract:
  8. In computational mechanic, paying attention to new methods of problem solving is very important. These approaches can offer more desirable results than the standard finite element method. The extended finite element method (X-FEM) is one of them, which is applied in modeling of discontinuities, singularities, crack propagation and etc. In this method, we do not need to align the element edge with the boundary of discontinuity. It means that the elements can be cut by interface (enriched elements) in the discontinuity boundary. One of the difficulties in (X-FEM) is blending elements, which happens in elements that are blended to enriched element that can decrease the convergence rate. The level set function can be used to improve local enrichment for material interfaces (inclusion). The computational technique is presented based on the extended finite element method coupled with the generalized new mark technique in order to model arbitrary interfaces in transient dynamic problems. In X-FEM, the material interfaces are represented independently of element boundaries and the process is accomplished by partitioning the domain with some triangular sub-elements in which Gauss points are used for the integration of elements domain. The interface between two bodies is modeled by using the X-FEM technique and applying the level set enrichment function. The goal of this research is to solve the problem of blending elements in arbitrary interface in transient dynamic problem
  9. Keywords:
  10. Joint Element ; Transitional Dynamics ; Extended Finite Element Method ; Level Set Method ; Generalized Newmark Method

 Digital Object List

 Bookmark

No TOC