scholarly journals A cell-based smoothed finite element method for kinematic limit analysis

2010 ◽  
Vol 83 (12) ◽  
pp. 1651-1674 ◽  
Author(s):  
Canh V. Le ◽  
H. Nguyen-Xuan ◽  
H. Askes ◽  
Stéphane P. A. Bordas ◽  
T. Rabczuk ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Limit Analysis ◽  
Kinematic Limit ◽  
Smoothed Finite Element Method ◽  
A Cell ◽  
Element Method

A cell — based smoothed finite element method for free vibration and buckling analysis of shells

2011 ◽  
Vol 15 (2) ◽  
pp. 347-361 ◽  
Author(s):  
Chien Thai-Hoang ◽  
Nhon Nguyen-Thanh ◽  
Hung Nguyen-Xuan ◽  
Timon Rabczuk ◽  
Stephane Bordas
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Vibration ◽  
Buckling Analysis ◽  
Smoothed Finite Element Method ◽  
A Cell ◽  
Element Method

A cell-based smoothed finite element method for three dimensional solid structures

2012 ◽  
Vol 16 (7) ◽  
pp. 1230-1242 ◽  
Author(s):  
Hung Nguyen-Xuan ◽  
Hiep Vinh Nguyen ◽  
Stephane Bordas ◽  
Timon Rabczuk ◽  
Marc Duflot
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Three Dimensional ◽  
Smoothed Finite Element Method ◽  
A Cell ◽  
Element Method

scholarly journals A Cell-Based Smoothed XFEM for Fracture in Piezoelectric Materials

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Li Ming Zhou ◽  
Guang Wei Meng ◽  
Feng Li ◽  
Shuai Gu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Extended Finite Element Method ◽  
Piezoelectric Materials ◽  
Crack Tip ◽  
Extended Finite Element ◽  
Boundary Integration ◽  
Smoothed Finite Element Method ◽  
A Cell ◽  
Element Method

This paper presents a cell-based smoothed extended finite element method (CS-XFEM) to analyze fractures in piezoelectric materials. The method, which combines the cell-based smoothed finite element method (CS-FEM) and the extended finite element method (XFEM), shows advantages of both methods. The crack tip enrichment functions are specially derived to represent the characteristics of the displacement field and electric field around the crack tip in piezoelectric materials. With the help of the smoothing technique, integrating the singular derivatives of the crack tip enrichment functions is avoided by transforming interior integration into boundary integration. This is a significant advantage over XFEM. Numerical examples are presented to highlight the accuracy of the proposed CS-XFEM with the analytical solutions and the XFEM results.

Sign in / Sign up

Export Citation Format

Share Document