Hierarchical beam finite elements for geometrically nonlinear analysis coupled with Asymptotic Numerical Method

01/03/2020

Authors

Y.C. Hui, Q. Huang, G. De Pietro, G. Giunta, H. Hu, and S. Belouettar

Reference

Mechanics of Advanced Materials and Structures, doi:10.1080/15376494.2020.1743898, 2020

Description

This paper couples the Carrera's Unified Formulation (CUF) with the Asymptotic Numerical Method (ANM) for investigating geometrically nonlinear behaviors of beam structures. On the basis of CUF, a family of advanced one-dimensional beam models is firstly established by deriving a fundamental nucleus. The ANM that is an efficient and robust nonlinear solver is then used to solve the resulted nonlinear systems. Several typical nonlinear problems in thin/thick beam structures are carried out, and numerical results demonstrate the validity and efficiency of the proposed framework. Besides, the importance of using high-order kinematics for beam structures undergoing large deformations is emphasized.

Link

doi:10.1080/15376494.2020.1743898

Share this page: