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| Reverse adjustment of non-conforming element Qm6 |
| Received:July 22, 2015 Revised:November 12, 2015 |
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| DOI：10.7511/jslx201606020 |
| KeyWord:non-conforming element patch test distortion sensitivity element Q6 element Qm6 4-node quadrilateral element |
| Author | Institution |
| 胡圣荣 |
华南农业大学 工程基础教学与训练中心, 广州 |
| 许静静 |
华南农业大学 工程基础教学与训练中心, 广州 |
| 刘新红 |
华南农业大学 工程基础教学与训练中心, 广州 |
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| Abstract: |
| Element Qm6 drops its anti-distortion performance due to especial numerical treatment applied to Q6's matrix [G] of nonconforming items when forcing strong patch test.It is proposed to carry out reverse treatment on element Qm6 to resume and even improve the anti-distortion performance.By analyzing the principle of Qm6,it is pointed out that such principle is essentially to modify adjoint matrix [J*] of Jacobian matrix [J],so in calculating nonconforming items' matrix [G],it is suggested to take [J*] as a variable,do reverse searching along the direction from the corresponding point of Qm6 to that of Q6 for favorable calculation position.Some typical and harsh examples are tested;results show that the reverse treatment is effective,with adjustment factor set to mirror value -1,and further extended to -2,the resulting elements are less sensitive to distortion than the original Q6 and Qm6,especially the value -2 is optimal for elimination of shear locking.Except for weak patch test,the overall performance and accuracy are close to the best of various 4-node quadrilateral elements.With the simplicity of the method and principle,the implementation and generalization to 3D problems have a significant advantage. |
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