| Title |
A Study on 3D Smoothed Finite Element Method for the Analysis of Nonlinear Nearly-incompressible Materials |
| Authors |
Lee, Changkye ; Yee, Jurng-Jae |
| DOI |
https://doi.org/10.5659/JAIK_SC.2019.35.9.159 |
| Keywords |
Smoothed Finite Element Method; Nonlinear analysis; Hyperelasticity; Nearly-incompressible materials |
| Abstract |
This work presents the three-dimensional extended strain smoothing approach in the framework of finite element method, so-called smoothed
finite element method (S-FEM) for quasi-incompressible hyperelastic materials undergoing the large deformations. The proposed method is
known that the incompressible limits, such as over-estimation of stiffness and distorted mesh sensitivity, can be overcome in two dimensions.
Therefore, in this paper, the idea of Cell-based, Edge-based and Node-based strain smoothing approaches is extended to three-dimensions. The
construction of subcells and smoothing domains for each methods are explained. The smoothed strain-displacement matrix and the stiffness
matrix are obtained on each smoothing domain in the same manner with two-dimensional S-FEM. Various numerical tests are studied to
demonstrate the validity and accuracy of 3D-S-FEM. The obtained results are compared with analytical solutions to express the efficacy of
the methods. |