ICCM Conferences, The 6th International Conference on Computational Methods (ICCM2015)

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Report on a novel concave-admissible quadrilateral 8 node plane element
Yang Xia, Qingyuan Hu, Ping Hu, Chongjun Li

Last modified: 2015-06-03

Abstract


Severe accuracy loss will happen on the occasion of element distortion, and the program may even fail to finish the calculation when there are elements which are concave. In this study, a novel concave-admissible 8 node quadrilateral plane element is developed within the framework of assumed displacement quasi-conforming method. The B-net method is used for calculation of area integral items and gives results with high precision within convex and even concave quadrangles. Numerical analysis on the element shows its trial functions represent exactly all polynomial terms of order less or equal to 2 in the Cartesian coordinates, which is also proved in numerical experiment described in Fig.1. Numerical results and comparisons with existing elements show that present element exhibits a remarkable robustness and insensitivity with extreme mesh distortions, as well as good accuracy. For the Cook beam problem, satisfactory results can be obtained when the mesh become severely distorted, as shown in Fig. 2. The work described in this abstract is expressed in detail in a full-length paper by Qingyuan Hu, Yang Xia, Ping Hu and Chongjun Li with title “A concave-admissible quadrilateral quasi-conforming plane element using B-net method”, which is under review by European Journal of Mechanics - A/Solids.


Keywords


Quasi-conforming, B-net method, plane element, mesh distortions, concave admissible

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