Applied Mathematics and Mechanics

, Volume 5, Issue 6, pp 1859–1866 | Cite as

Spline sectorial elements



In this paper, the quadratic and cubic splines local interpolation on a sectorial element in polar coordinates is discussed and a class of spline sectorial elements for analyses of plane and thin, problems are presented. A reasonable treatment of the assumed displacement fields for elements with nodes at the origin, (r=0) has been made so that the elements can not only characterize the geometrical properties at the origin but also remove the singularity of strains and stresses there. Some numerical examples are given to show the efficiency of the proposed elements.


Mathematical Modeling Industrial Mathematic Geometrical Property Displacement Field Reasonable Treatment 
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Copyright information

© HUST Press 1984

Authors and Affiliations

  • Yuan Si
    • 1
  1. 1.Qinghua UniversityBeijing

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