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**A rational approach for choosing stress terms for hybrid finite element formulations.**
*(English)*
Zbl 0661.73045

A new approach for choosing the stress terms for a hybrid stress element is based on the condition of vanishing of the virtual work along th element boundary due to the stress terms higher than constant and the additional incompatible displacement. Examples using 4-node plane stress elements have shown that when the incompatible displacements also satisfy the constant strain patch test the resulting elements will provide the most accurate solutions. Advantages of this approach for the formulation of an axisymmetric solid are also indicated.

### MSC:

74S05 | Finite element methods applied to problems in solid mechanics |

74S30 | Other numerical methods in solid mechanics (MSC2010) |

74B10 | Linear elasticity with initial stresses |

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\textit{T. H. H. Pian} and \textit{C. Wu}, Int. J. Numer. Methods Eng. 26, No. 10, 2331--2343 (1988; Zbl 0661.73045)

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### References:

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