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| Incompatible manifold method for thin plate problems based on the best quality mesh |
| Received:May 29, 2015 Revised:September 02, 2015 |
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| DOI：10.7511/jslx201606003 |
| KeyWord:incompatible element convergence numerical manifold method Kirchhoff's thin plate |
| Author | Institution |
| 屈新 |
中国科学院 成都山地灾害与环境研究所, 成都 |
| 郑宏 |
岩土力学与工程国家重点实验室, 中国科学院武汉岩土力学研究所, 武汉 |
| 苏立君 |
中国科学院 成都山地灾害与环境研究所, 成都 |
| 李春光 |
岩土力学与工程国家重点实验室, 中国科学院武汉岩土力学研究所, 武汉 |
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| Abstract: |
| For most incompatible plate elements,good effects can be achieved if regular meshes are used.But if the mesh is irregular,the numerical properties will become worse,and even the convergence cannot be guaranteed.In order to solve mesh dependence,many transformation elements are raised by many experts,in which the quasi-conforming elements and the generalized conforming elements can be used to solve convergence.But it has been proved by numerical practice that no good numerical character can be obtained by one element in any situation.Considering the two completely independent covering systems are used in the numerical manifold method (NMM),we can always use the best mesh as the mathematical cover for interpolation.In this way,the best interpolation precision can be achieved and the convergence is accordingly reached.With the variational formulation of Kirchhoff's plate problems fitted to NMM,an unified scheme is proposed for NMM to deal with irregular boundaries of domains.By taking the ACM plate element as an example,finally,comparisons among the proposed scheme,ANSYS,the quasi-conforming elements and the generalized conforming elements in the literature are made,indicating that the proposed scheme is advantageous in treating thin plate bending problems where the plate has a curve boundary. |
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