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Graphical Abstract
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Abstract
Presents a novel finite element method of super conforming theory. Different from the traditional conforming element which takes the conforming displacement as the trial function, the finite element of super conforming theory firstly assumes that the higher derivative such as rotational-displacement is conforming in element, then, the super conforming displacement can be derived from this assumption by quadrature derivation. Based on the super conforming theory, there is a novel way to formulate the triangular shell element with three drilling degrees of freedom, which is named as SCT. The benchmark example shows that the element of SCT has high accuracy and high efficiency compared with other types of element. The proposed strategy to construct element is simple and effective, and the proposed super conforming theory can be used for developing other high performance numerical methods.
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