سال انتشار: ۱۳۹۱

محل انتشار: بیستمین کنفرانس سالانه مهندسی مکانیک

تعداد صفحات: ۴

نویسنده(ها):

M.H. Afshar – Associate Professor, Iran University of Science and Technology
S. Faraji – M.Sc. Student, Iran University of Science and Technology
J. Amani – Ph.D. Student, Iran University of Science and Technology

چکیده:

In this paper, an adaptive refinement procedure is recommended to be used with Mixed Discrete Least Squares Meshless (MDLSM) method and kriging interpolation to obtain accurate solution of planar elasticity problems. MDLSM method is a newly presented meshless method based on the least squares concept. The method leads the solution to a given problem that minimizes a least squares functional defined as the weighted summation of the squared residual of the governing differential equation and its boundary conditions. Moving kriging (MK) interpolation is used to construct the shape functions. An error estimate and adaptive refinement strategy is proposed in this paper to improve the efficiency of MDLSM method. For this, a residual based error estimator is introduced and used to recognize the region of higher errors. An enrichment method is then used by adding new nodes in the vicinity of nodes with higher errors. Efficiency of the suggested procedure is tested by adaptively solving a benchmark problem. The results show the ability and effectiveness of the suggested strategy for accurate simulation of elasticity problem