Abstract—In this paper, mesh-free Element-Free Galerkin method has been utilized for analysis of axisymmetric problems. To this aim, basic formulations and assumptions of the method for the case of axisymmetry are derived, and a simple problem of linearly elastic solid mechanics is taken as a benchmark for controlling the consistency of the proposed formulation as well as its accuracy in comparison to FEM. Two different norms for error estimation, i.e. displacement & stress norm, have been addressed in this study. Eventually, using these two norms, a parametric study has been performed on critical factors to demonstrate suitable parametric values. The numerical results show high dependency of the predicted values to the selection of these parameters.
Index Terms—Axisymmetry, element-free galerkin method, error estimation, mesh-free
Ali Nemati Hayati is with the Department of Civil Engineering, Sharif University of Technology, Tehran, Iran (e-mail: alinhayati@mehr.sharif.ir).
Mohammad Mehdi Ahmadi is with the Department of Civil Engineering, Sharif University of Technology, Tehran, Iran (e-mail: mmahmadi@sharif.ir).
Seyyed Amirodin Sadrnejad is with the Department of Civil Engineering, Khaje Nasir University of Technology, Tehran, Iran (e-mail:sadrnejad@hotmail.com).
Cite: Ali Nemati Hayati, Mohammad Mehdi Ahmadi, and Seyyed Amirodin Sadrnejad, "Analysis of Axisymmetric Problems by Element-Free Galerkin Method," International Journal of Modeling and Optimization vol. 2, no. 6, pp. 712-717, 2012.
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