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An ABAQUS Implementation of the Cell-based Smoothed Finite Element Method Using Quadrilateral Elements

Wang, Sili
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1416233762

Abstract Details

2014, MS, University of Cincinnati, Engineering and Applied Science: Mechanical Engineering.
This thesis report a work on an implementation of a Cell-based Smoothed Finite Element method (CS-FEM) using quadrilateral element (Q4) in the framework of the commercial software package ABAQUS®. The CS-FEM is one of the Smoothed Finite Element Method (S-FEM) models introduced by Dr. G.R. Liu and his colleagues in recent years. Because smoothing domains used by CS-FEM are within the element, it is known as the model closest to the standard FEM. User-defined Element subroutine (UEL) feature was proposed to be used to implant the CS-FEM model into ABAQUS. In this paper, a couple of UELs are constructed respectively for 2-dimentional (2D) problems using Q4 elements. To implant CS-FEM into ABAQUS, a custom input file and corresponding user subroutine are developed. Then the implementation is verified using a number of linear elastic problems that has analytical solutions. In this article, details on data input file and the user element subroutine construction are provided, which contribute the key ingredients of this implementation. Several numerical examples utilizing the subroutines are presented to demonstrate the features and accuracy of the developed ABAQUS CS-FEM Q4 user element, by comparison with the analytical and the ABAQUS solutions.
Guirong Liu, Ph.D. (Committee Chair)
Yijun Liu, Ph.D. (Committee Member)
David Thompson, Ph.D. (Committee Member)
96 p.
Mechanical Engineering
Cell-based Smoothed Finite Element Method; ABAQUS Standard; User defined Element; Numerical methods; CS FEM; UEL

Recommended Citations

Citations

  • Wang, S. (2014). An ABAQUS Implementation of the Cell-based Smoothed Finite Element Method Using Quadrilateral Elements [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1416233762

    APA Style (7th edition)

  • Wang, Sili. An ABAQUS Implementation of the Cell-based Smoothed Finite Element Method Using Quadrilateral Elements. 2014. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1416233762.

    MLA Style (8th edition)

  • Wang, Sili. "An ABAQUS Implementation of the Cell-based Smoothed Finite Element Method Using Quadrilateral Elements." Master's thesis, University of Cincinnati, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1416233762

    Chicago Manual of Style (17th edition)

ucin1416233762
1,382
© 2014, some rights reserved.Creative Commons License An ABAQUS Implementation of the Cell-based Smoothed Finite Element Method Using Quadrilateral Elements by Sili Wang is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by University of Cincinnati and OhioLINK.