›› 2006, Vol. 27 ›› Issue (2): 189-192.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Wilson incompatible numerical manifold method

WEI Gao-feng1, FENG Wei2   

  1. 1. Institute of Mechanical Engineering, Shandong Institute of Light Industry, Jinan 250100, China; 2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • Received:2004-06-21 Online:2006-02-10 Published:2013-10-25

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Abstract: In three-dimensional numerical manifold method (NMM), the total element test functions in the polynomial space are not entire when hexahedral solid meshes are given in mathematical cover. Non-entire high order terms cannot improve computational precision, but may play the contrary role. For avoiding the disadvantages, an additional incompatible manifold element rank formula is established based on the theory of Wilson incompatible element; Wilson incompatible numerical manifold method is presented. The element strain matrix and the element stiffness matrix are derived by eliminating the internal parameters. The method has high computing efficiency and accuracy under adding no generalized degrees of freedom. Finally several numerical examples are analyzed to illustrate the stability and convergence of the method. The results are shown that the method is highly validity and accuracy.

Key words: incompatible element, numerical manifold method, patch test, finite covering technique, additional displacement term

CLC Number: 

  • O 343.2
  • Please send e-mail to pingzhou3@126.com if you would like to read full paper in English for free. Parts of our published papers have English translations.
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