A Hybrid Generalized Element Method Based on H-R Variational Principle

YANG Sen-sen; MA Yong-qi; FENG Wei

doi:10.3879/j.issn.1000-0887.2013.03.007

Volume 34 Issue 3

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YANG Sen-sen, MA Yong-qi, FENG Wei. A Hybrid Generalized Element Method Based on H-R Variational Principle[J]. Applied Mathematics and Mechanics, 2013, 34(3): 272-281. doi: 10.3879/j.issn.1000-0887.2013.03.007

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A Hybrid Generalized Element Method Based on H-R Variational Principle

doi: 10.3879/j.issn.1000-0887.2013.03.007

¹Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China;²Department of Mechanics, Shanghai University, Shanghai 200444, P.R.China

Received Date: 2013-01-16
Rev Recd Date: 2013-01-29
Publish Date: 2013-03-15

Abstract

Abstract

Combining HellingerReissner variational principle and the way of constructing displacement interpolation function of generalized finite element method to construct stress field and displacement field independently, through the suitable stress field could get a more precise stress value of node conveniently, and in the same time to increase the order of displacement function without increasing the number of element’s nodes, in this way a more accurate result was got. This method combines the above two methods of flexibility of constructing the stress field and displacement field, meanwhile, using less memory and equations on the same condition compared with some other methods, and the results also show that of efficiency and higher presicion.
- hybrid element,
- HellingerReissner variational principle,
- generalized finite element method,
- nodal displacement interpolation function,
- stress function

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References(17)

References

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