Abstract
Based on generalized variational principles, an element called M R-12 was constructed for the static and dynamic analysis of thin plates with orthogonal anisotropy. Numerical results showed that this incompatible element converges very rapidly and has good accuracy. It was demonstrated that generalized variational principles are useful and effective in founding incompatible element.
Moreover, element MR-12 is easy for implementation since it does not differ very much from the common rectangular element R-12 of thin plate.
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References
Chien Wei-zang.Generalized Variational Principles, Knowledge Press (1985). (in Chinese)
Chien Wei-zang, Incompatible plate elements based upon generalized varitional principles,Hybrid and Mixed Finite Element Method, eds. A. N. Atluri, R. H. Gallagher and O. C. Zienkienwicz (1983), 381–404.
Xic Yi-quan and He Fu-bao,Finite Element Method in Elasticity and Plasticity, Machinery Industry Press (1981). (in Chinese)
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Wei-zang, C., Gang, W. A rectangular element of thin plates based upon the generalized variational principles. Appl Math Mech 10, 997–1003 (1989). https://doi.org/10.1007/BF02014546
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DOI: https://doi.org/10.1007/BF02014546