Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN (electronic): 1559-3959
ISSN (print): 1559-3959
Author index
To appear
Other MSP journals
This article is available for purchase or by subscription. See below.
A new element-free Galerkin method for 3D elasticity problems

Zhijuan Meng, Yanan Fang, Xiaofei Chi and Lidong Ma

Vol. 17 (2022), No. 5, 469–488

A new element-free Galerkin (NEFG) method for three-dimensional (3D) elasticity problems is proposed, which reduces the dimension of the 3D elasticity problem along the splitting direction. The 3D problem domain is reduced to a set of two-dimensional (2D) domains by arbitrarily choosing one axis as the splitting direction. The equilibrium equations of two groups of 3D elastic problems are chosen arbitrarily and the corresponding boundary value conditions are combined to form a 2D boundary value problem. Then the improved interpolating element-free Galerkin (IIEFG) method is adopted to simulate the 2D problems. The finite difference method (FDM) is adopted in the splitting direction. The weight function chooses the nonsingular weight function. After that, the discrete system equations are obtained. Similarly, the system composed of the other two sets of equations can also be solved. Through comparing the numerical results of the NEFG method with those of the dimension splitting element-free Galerkin (DSEFG) method and the improved element-free Galerkin (IEFG) method, three numerical examples indicate the availability and benefit of the NEFG method.

PDF Access Denied

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at
or by using our contact form.

Or, you may purchase this single article for USD 45.00:

improved interpolating moving least-squares method, dimension splitting method, finite difference method, nonsingular weight function, elasticity
Received: 1 April 2022
Revised: 26 May 2022
Accepted: 3 June 2022
Published: 22 February 2023
Zhijuan Meng
School of Applied Science
Taiyuan University of Science and Technology
Yanan Fang
School of Applied Science
Taiyuan University of Science and Technology
Xiaofei Chi
School of Applied Science
Taiyuan University of Science and Technology
Lidong Ma
School of Mechanical Engineering
Taiyuan University of Science and Technology