Abstract
In this paper, some deformation patterns defined by differential equations of the elastic system are introduced into the revised functional for the incompatible elements. And therefore the rational FEM, which is perfect combination of the analytic methods and numeric methods, has been presented. This new approach satisfies not only the mechanical requirement of the elements but also the geometric requirement of the complex structures. What's more the quadrilateral element obtained accordingly for the elastic bending of thick plates demonstrates such advantages as high precision for computation and availability of accurate integration for stiffness matrices.
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Weiming, S., Guangsong, Y. Rational finite element method for elastic bending of reissner plates. Appl Math Mech 20, 193–199 (1999). https://doi.org/10.1007/BF02481899
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DOI: https://doi.org/10.1007/BF02481899