JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2009, Vol. 39 ›› Issue (3): 99-102.

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C 1 natural element method for strain gradient elasticity

  

  1. NIE Zhi-feng, ZHOU Shen-jie, WANG Kai, KONG Sheng-li：School of Mechanical Engineering, Shandong University, Jinan 250061, China; KONG Sheng-li： School of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 265510, China
  • Received:2008-11-26 Online:2009-06-16 Published:2009-06-16

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Abstract:

C 1 interpolant can be constructed by embedding Sibson interpolant in the Bernstein-Bésurface representation of a cubic simplex. The essential boundary conditions were directly imposed in a Galerkin scheme for strain gradient elasticity because C 1 interpolant has the interpolation for nodal functions and nodal gradient values. Boundary layer analysis and infinite plate with circular hole under biaxial tension were analyzed to illustrate the effectiveness of the method.

Key words: Bernstein-Bézier polynomial;C 1 natural neighbor interpolant; strain gradient elasticity; boundary layer analysis; biaxial tension

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