The Energy Orthogonal Relation Between Conforming and Non-Conforming Displacements of Triangular Element

Nie Yufeng; Zhou Tianxiao; Nie Tiejun

Volume 20 Issue 6

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(6): 619-624

Nie Yufeng, Zhou Tianxiao, Nie Tiejun. The Energy Orthogonal Relation Between Conforming and Non-Conforming Displacements of Triangular Element[J]. Applied Mathematics and Mechanics, 1999, 20(6): 619-624.

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The Energy Orthogonal Relation Between Conforming and Non-Conforming Displacements of Triangular Element

1.
Applied Mathematics Department, Northwestern Polytechnical University, Xi'an 710072, P R China;
2.
Computing Technology Research Institute, CAE, Xi'an 710068, P R China

Received Date: 1997-04-28
Rev Recd Date: 1998-11-07
Publish Date: 1999-06-15

Abstract

Abstract

Based on the variational principle of combinative stability, combined hybrid methods posed by Zhou Tianxiao are absolutely convergent and stabilized. Zhou has advocated a systematic approach to enhanced stress/strain schemes and has designed a family of lower-order elements which are affine-equivalent to n-cube(n=2,3). The energy orthogonal relation between the conforming part and the non-conforming part of displacements interpolation functions in triangular element is given, in which the stress is interpolated by linear polynomials on each element, but the displacements are interpolated by the sum of conforming linear and non-conforming quadratic polynomials. Furthermore, this element is equivalent to the conforming triangular linear element, that is, the non-conforming parts have no contribution to enhanced strains.
- combinative stability,
- energy orthogonality,
- enhanced strain

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References(7)

References

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[2]	Zhou Tianxiao. Finite element method based on combination of "saddle point" variational formulations[J].Science in China(Ser.E),1997,27(1):75～87.
[3]	周天孝.Wilson元的星星之火可否燎原[J].计算力学学报,1997,14(增刊):24～27.
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