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| Investigation of internal parameter type incompatible elements with rotational degrees of freedom |
| Revised:April 28, 2003 |
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| DOI：10.7511/jslx20051013 |
| KeyWord:incompatible element,internal parameters,rotational degrees of freedom,beam element,patch test |
| SHAO Guo-jian~* SU Jing-bo |
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| Abstract: |
| The continuity of displacements between elements is destroyed by use of incompatible elements, but the bending deformations are well reflected by them. If the number of nodal freedoms is not added, the computational accuracy is restricted in certain level and has not been greatly changed. Based on variational principle employing modified Reissner functional, into which independent rotation field has been introduced, the rotational definition of continuum mechanics is used and the rotation field is interpolated by true rotation at each node. The rational type of incompatible fields of 4-node element is discussed. The incompatible displacement functions being suitable for arbitrary quadrilateral element are denoted. An internal parameter type incompatible element with rotational degrees of freedom is established. The element of this paper is proved to pass the patch test. The compatibility with beam elements with rotation degrees of freedom can be easily made. It is shown that the numerical results based on the element have good accuracy. |
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