A Comparative Study of XFEM and EFGM in Solving Frictional Contact Problems
Azher Jameel, Department of Mechanical and Industrial Engineering, Indian Institute of Technology, Roorkee, India.
Manuscript received on March 30, 2014. | Revised Manuscript received on April 14, 2014. | Manuscript published on April 30, 2014. | PP: 324-331 | Volume-3, Issue-4, April 2014. | Retrieval Number: D3037043414/2013©BEIESP
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Abstract: In this paper, the extended finite element method (XFEM) and the element free Galerkin method (EFGM) have been employed to model and simulate the contact type of nonlinearities caused by the discontinuities due the frictional contact. In order to model these discontinuities, few modifications are made in XFEM and EFGM to incorporate these discontinuities in the formulation. The contact interface between the two bodies is modeled by applying an appropriate enrichment function. The classical approximate solution is enriched with the Heaviside jump function to simulate the contact behavior between the two surfaces. Gaussian quadrature has been used for the numerical integration of the weak formulation. Finally, three model problems are solved using XFEM and EFGM and the results obtained by the two techniques are compared with each other. The results obtained by XFEM show a good agreement with the results obtained by EFGM.
Keywords: XFEM, EFGM, Slip criterion, Slip rule, Penalty factor, Level set, Heaviside jump function.