Applied Mathematics and Mechanics

, Volume 28, Issue 7, pp 963–971 | Cite as

A kind of bivariate spline space over rectangular partition and pure bending of thin plate

  • Wang Ren-hong  (王仁宏)
  • Chang Jin-cai  (常锦才)Email author


The mechanical background of the bivariate spline space of degree 2 and smoothness 1 on rectangular partition is presented constructively. Making use of mechanical analysis method, by acting couples along the interior edges with suitable evaluations, the deflection surface is divided into piecewise form, therefore, the relation between a class of bivariate splines on rectangular partition and the pure bending of thin plate is established. In addition, the interpretation of smoothing cofactor and conformality condition from the mechanical point of view is given. Furthermore, by introducing twisting moments, the mechanical background of any spline belong to the above space is set up.

Key words

smoothing cofactor conformality condition pure bending of thin plate 

Chinese Library Classification

O241 O343 

2000 Mathematics Subject Classification

65D07 74K20 


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Copyright information

© Editorial Committee of Appl. Math. Mech. 2007

Authors and Affiliations

  • Wang Ren-hong  (王仁宏)
    • 1
  • Chang Jin-cai  (常锦才)
    • 1
    • 2
    Email author
  1. 1.Institute of Mathematical SciencesDalian University of TechnologyDalianP. R. China
  2. 2.College of SciencesHebei Polytechnic UniversityTangshanP. R. China

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