A novel boundary-type element-free method for 3D thermal analysis in inhomogeneous media with variable thermal source

2020 ◽  
Vol 80 (12) ◽  
pp. 3123-3136
Author(s):  
Dong-Sheng Yang ◽  
Jing Ling
Keyword(s):  
Thermal Analysis ◽  
Inhomogeneous Media ◽  
Thermal Source ◽  
Boundary Type ◽  
Element Free Method ◽  
Element Free

Free vibration analysis of FG-CNTRC conical shell panels using the kernel particle Ritz element-free method

2021 ◽  
Vol 255 ◽  
pp. 112987
Author(s):  
Ping Xiang ◽  
Qing Xia ◽  
L.Z. Jiang ◽  
Linxin Peng ◽  
J.W. Yan ◽  
...  
Keyword(s):  
Free Vibration ◽  
Conical Shell ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Element Free Method ◽  
Element Free

An Improved Element-Free Method for Compressing Cylindric Tube

2010 ◽  
Vol 145 ◽  
pp. 302-306
Author(s):  
Jian Hua Hu ◽  
Yuan Hua Shuang ◽  
Xiao Cheng Yang
Keyword(s):  
Present Method ◽  
Numerical Solutions ◽  
Essential Boundary Condition ◽  
Mesh Free ◽  
Good Accordance ◽  
Mesh Free Method ◽  
Integral Scheme ◽  
Element Free Method ◽  
Element Free ◽  
Computational Properties

In this paper, a description about improved element free Gerlink method (EFGM) is given. The method adopted penalty method to implement the essential boundary condition. The integral scheme takes Gauss background integration. Based on compressing the cylindric tube, the numerical model is calculated by finite element method (FEM) and EFGM. Comparisons of the deformation shape and stress of the both simulations showed good accordance. The numerical solutions show that the present method is a robust, reliable, stable mesh free method and possesses better computational properties compared with traditional FEM.

scholarly journals Research on Error Estimations of the Interpolating Boundary Element Free-Method for Two-Dimensional Potential Problems

2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Jufeng Wang ◽  
Fengxin Sun ◽  
Ying Xu
Keyword(s):  
Integral Equation ◽  
Boundary Element ◽  
Boundary Integral Equation ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Two Dimensional ◽  
Potential Problems ◽  
Element Free Method ◽  
Error Estimations ◽  
Element Free

The interpolating boundary element-free method (IBEFM) is a direct solution method of the meshless boundary integral equation method, which has high efficiency and accuracy. The IBEFM is developed based on the interpolating moving least-squares (IMLS) method and the boundary integral equation method. Since the shape function of the IMLS method satisfies the interpolation characteristics, the IBEFM can directly and accurately impose the essential boundary conditions, which overcomes the shortcomings of the original boundary element-free method in enforcing the essential boundary approximately. This paper will study the error estimations of the IBEFM for two-dimensional potential problems and the relationship between the errors and the influence radius and the condition number of the coefficient matrix. Two numerical examples are presented to verify the correctness of the theoretical results in this paper.

Free surface seepage analysis based on the element-free method

2003 ◽  
Vol 30 (1) ◽  
pp. 9-19 ◽  
Author(s):  
Guangxin Li ◽  
Jinhong Ge ◽  
Yuxin Jie
Keyword(s):  
Free Surface ◽  
Seepage Analysis ◽  
Element Free Method ◽  
Element Free
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