@Article{cmes.2023.022774,
AUTHOR = {Hanjiang Chang, Qiang Tian, Haiyan Hu},
TITLE = {A Geometrically Exact Triangular Shell Element Based on Reproducing Kernel DMS-Splines},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {136},
YEAR = {2023},
NUMBER = {1},
PAGES = {825--860},
URL = {http://www.techscience.com/CMES/v136n1/51184},
ISSN = {1526-1506},
ABSTRACT = {To model a multibody system composed of shell components, a geometrically exact Kirchhoff-Love triangular shell element is proposed. The middle surface of the shell element is described by using the DMS-splines, which can exactly represent arbitrary topology piecewise polynomial triangular surfaces. The proposed shell element employs only nodal displacement and can automatically maintain <i>C</i><sup>1</sup> continuity properties at the element boundaries. A reproducing DMS-spline kernel skill is also introduced to improve  computation stability and accuracy. The proposed triangular shell element based on reproducing kernel DMS-splines can achieve an almost optimal convergent rate. Finally, the proposed shell element is validated via three static problems of shells and the dynamic simulation of a flexible multibody system undergoing both overall motions and large deformations.},
DOI = {10.32604/cmes.2023.022774}
}