Abstract
Splitting modulus variational principle in linear theory of solid mechanics was introduced, the principle for thin plate was derived, and splitting modulus finite element method of thin plate was established too. The distinctive feature of the splitting model is that its functional contains one or more arbitrary additional parameters, called splitting factors, so stiffness of the model can be adjusted by properly selecting the splitting factors. Examples show that splitting modulus method has high precision and the ability to conquer some ill-conditioned problems in usual finite elements. The cause why the new method could transform the ill-conditioned problems into well-conditioned problem, is analyzed finally.
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Dang, Fn., Rong, Ty. & Sun, Xf. Splitting Modulus Finite Element Method for Orthogonal Anisotropic Plate Benging. Applied Mathematics and Mechanics 22, 1046–1056 (2001). https://doi.org/10.1023/A:1016364326162
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DOI: https://doi.org/10.1023/A:1016364326162