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| An explicit treatment of 3D incompatible shape functions satisfying PTC |
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| DOI：10.7511/jslx19983059 |
| KeyWord:incompatible element,3D,patch test,explict expression |
| Liu Weiqun |
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| Abstract: |
| In this paper , a general approach is introduced to generate the incompatible shape functions which satitfy the patch test condition (PTC) . The internal displacement functions of 3D incom- patttble element NH11 are expressed explicitly. Numerical computations show that , the new ele- ment after explicit treatment has the same precision as the original one , but the CPU time of forming the element stiffness matrix and computing element stresses is saved to a great degree. Fumhermore, the new method fully brings out numerical potentialities of incompatible elements. |
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