Inter-Belt Finite Element for the Analysis of Incompressible Material Problems

WU Feng; SUN Yan; ZHONG Wan-xie

doi:10.3879/j.issn.1000-0887.2013.01.001

Volume 34 Issue 1

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WU Feng, SUN Yan, ZHONG Wan-xie. Inter-Belt Finite Element for the Analysis of Incompressible Material Problems[J]. Applied Mathematics and Mechanics, 2013, 34(1): 1-9. doi: 10.3879/j.issn.1000-0887.2013.01.001

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Inter-Belt Finite Element for the Analysis of Incompressible Material Problems

doi: 10.3879/j.issn.1000-0887.2013.01.001

¹State Key Laboratory of Structural Analysis of Industrial Equipment,Department of Engineering Mechanics, Dalian University of Technology,Dalian, Liaoning 116024, P.R.China;¹Department of Engineering Mechanics, School of Naval Architecture,Ocean and Civil Engineering, Shanghai Jiao Tong University,Shanghai 200240, P.R.China.

Received Date: 2012-11-28
Rev Recd Date: 2012-12-17
Publish Date: 2013-01-15

Abstract

Abstract

A concept of the flow function and the corresponding variational principle were developed to deal with the absolute incompressible material system, and the numerical analysis was also presented. When the flow function was introduced, the higher order differential system was involved, which led to a new type of element, the inter-belt finite element, based on the belt theory. The belt finite element can overcome well the problem derived by the variational principle with the higher order differential.
- incompressible,
- finite element method,
- higher order interpolation,
- inter-belt,
- flow function

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References(12)

References

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