scholarly journals A cell-based smoothed finite element method for multi-body contact analysis using linear complementarity formulation

2018 ◽  
Vol 141-142 ◽  
pp. 110-126 ◽  
Author(s):  
Junhong Yue ◽  
Gui-Rong Liu ◽  
Ming Li ◽  
Ruiping Niu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Linear Complementarity ◽  
Contact Analysis ◽  
Body Contact ◽  
Smoothed Finite Element Method ◽  
A Cell ◽  
Multi Body ◽  
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

Contact Analysis Based on a Linear Strain Node-Based Smoothed Finite Element Method with Linear Complementarity Formulations

2021 ◽  
pp. 2141008
Author(s):  
Yan Li ◽  
Junhong Yue
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Contact Point ◽  
Linear Complementarity Problems ◽  
Contact Problems ◽  
Linear Complementarity ◽  
Linear Functions ◽  
Linear Strain ◽  
Smoothed Finite Element Method ◽  
Element Method

This paper presents the node-based smoothed finite element method with linear strain functions (NS-FEM-L) for solving contact problems using triangular elements. The smoothed strains are formulated by a complete order of polynomial functions and normalized with reference to the central points of smoothing domains. They are one order higher than those adopted in the finite element method (FEM) and the standard smoothed finite element method with the same triangular mesh. When using linear functions to describe strains in smoothing domains, the solutions are more accurate and stable. The contact interfaces are discretized by contact point pairs using a modified Coulomb frictional contact model. The contact problems are solved via converting into linear complementarity problems (LCPs) which can be tackled by using the Lemke method. Numerical implementations are conducted to simulate the contact behavior, including the bonding–debonding, contacting–departing and sticking–slipping. The effects of various parameters related to friction and adhesion are intensively investigated. The comparison of numerical results produced by different methods demonstrates the validity and efficiency of the NS-FEM-L for contact problems.

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.

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
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