A new absolute nodal coordinate formulation of solid element with continuity condition and viscosity model

In multibody system dynamics formulations, the modeling of classical non-isoparametric element cannot accurately describe the deformation of cross sections. Unlike the conventional methods, the absolute nodal coordinate formulation (ANCF) of solid element is not only able to achieve section describtion, but also can directly describe the section deformation through the node coordinates. But the deficiency of incomplete polynomial using the current ANCF solid element is expected to avoid locking problems that cannot conform to the derivative coordinates across the boundary. In this paper, the ANCF solid element with continuity condition and internal viscoelastic damping has been provided and achieved. The continuity condition could be applied to make the neighboring elements achieve continuity across boundary, and the viscosity model of the ANCF solid element is proposed for large deformations. Some numerical simulations are provided and according to the comparative results, the ANCF solid element can get higher accuracy than traditional finite element and former ANCF element.