New pipe element based on Hermite-Jackson interpolation (Q6593964)

A new finite element is proposed for piping analysis within the framework of linear shell theory. This finite element is based on the use of Hermite-Jackson trigonometric interpolation along the contour of each section of the pipe and classical polynomial interpolation along the pipe axis in curvilinear coordinates. It is proved that the numerical solutions converge as long as the step size along the pipe axis is of the same order as the one along the section contour. The comparison with known shell elements show that the computational cost is quite equivalent. Some errors estimates are provided. The proposed element is validated through several numerical examples, which demonstrate its accuracy and efficiency. This method represents an approach for piping analysis.