Date:

2025-04-30

Title of Paper:

On the development of incomplete cubic tetrahedral element based on the absolute nodal coordinate formulation

Journal:

Journal of Computational and Nonlinear Dynamics

Summary:

In this paper, a new four-node incomplete cubic tetrahedral element (ICTE) based on the
absolute nodal coordinate formulation (ANCF) is developed employing both volume
coordinate and Cartesian coordinate parameter set. From the view of the order of interpolation polynomial basis, a criterion to develop the incomplete cubic ANCF tetrahedral
element that can guarantee the quadratic accuracy is proposed. Based on the criterion,
the new element and the other two existing incomplete cubic ANCF tetrahedral elements
are compared analytically. The three elements are evaluated by both the static and
dynamic numerical simulations. The new element successfully passes the patch test. The
solutions of the proposed element in this paper agree well with analytical solutions or
those given by the full cubic tetrahedral element/general commercial FE software. The
higher accuracy and better convergence of the new element are verified. In addition, the
method to develop incomplete cubic element by applying position constraints on the face
center points and other corresponding material points of the full cubic element is
discussed.

Co-author:

Wang T, Yu Z, Lan P

Volume:

14(4)

Page Number:

041001-1-11

Translation or Not:

No

Date of Publication:

2019-02-06