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Development of a Polygonal Finite Element Solver and Its Application to Fracture Problems

Kamble, Mithil
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1504873845916901

Abstract Details

2017, MS, University of Cincinnati, Engineering and Applied Science: Mechanical Engineering.
This study develops a polygonal finite element solver for 2-D crack propagation simulation along with a meshing algorithm which creates necessary polygonal mesh. The work starts with a brief literature review of historical development of computational fracture mechanics. After reviewing multiple methods employed for modeling fracture problems, Wachspress formulation is selected for constructing the polygonal finite element solver. Polygonal interpolants are developed using Wachspress’ framework and validated using published results. A polygonal meshing algorithm is also developed since conventional finite element meshers do not support domain meshing using higher order polygons. The meshing algorithm is then used to create the mesh and input files for the polygonal finite element solver. The polygonal solver is validated using conventional patch tests. The accuracy and convergence of the method is assessed using classical solid mechanics problems with known analytical solutions. Next, ability to include cracks geometrically is added to the meshing algorithm. The polygonal solver is updated with crack tracking and remeshing capability. A fracture problem is solved using the developed subroutines.
Yijun Liu, Ph.D. (Committee Chair)
Woo Kyun Kim, Ph.D. (Committee Member)
Kumar Vemaganti, Ph.D. (Committee Member)
97 p.
Mechanical Engineering; Mechanics
Polygonal finite element method; Polygonal interpolants; Finite element methods; Fracture mechanics; Computational fracture mechanics; Crack propagation

Recommended Citations

Citations

  • Kamble, M. (2017). Development of a Polygonal Finite Element Solver and Its Application to Fracture Problems [Master's thesis, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1504873845916901

    APA Style (7th edition)

  • Kamble, Mithil. Development of a Polygonal Finite Element Solver and Its Application to Fracture Problems. 2017. University of Cincinnati, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1504873845916901.

    MLA Style (8th edition)

  • Kamble, Mithil. "Development of a Polygonal Finite Element Solver and Its Application to Fracture Problems." Master's thesis, University of Cincinnati, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1504873845916901

    Chicago Manual of Style (17th edition)

ucin1504873845916901
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© 2017, some rights reserved.Creative Commons License Development of a Polygonal Finite Element Solver and Its Application to Fracture Problems by Mithil Kamble 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.