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An Augmented NURBS-Enhanced Technique for the Finite Element Simulation

Alvarez Merel, Ricardo
http://orcid.org/0000-0001-8822-9827
http://rave.ohiolink.edu/etdc/view?acc_num=osu1461159391

Abstract Details

2016, Master of Science, Ohio State University, Materials Science and Engineering.
This thesis presents an Augmented NURBS-enhanced technique, which is integrated with advanced finite element (FE) techniques to accurately model multiphase materials with complex morphologies. This technique is a modified version of the non-isoparametric strategy presented in the NURBS Enhanced Finite Element Method (NEFEM) to eliminate the geometric discretization errors, emanating from the low-order geometrical approximations, in the standard finite element method (FEM). This Augmented NURBS-enhanced strategy appliess a geometric mapping (Nea-mapping) that can exactly reconstruct the geometry of triangular elements with multiple curved edges, and implements a set of local shape functions for approximating the fields for improved accuracy and efficacy. In this manuscript, the Nea-mapping is combined with two FE techniques: (i) the hierarchical interface-enriched finite element method (HIFEM) and (ii) the conform to interface structured adaptive mesh refinement (CISAMR). Although this work focuses on the development of a two dimensional technique for three-node and quadratic six-node elements, this work can be further extended to higher-order elements and three dimensional problems. Several numerical tests are presented to examine the accuracy and convergence rate of the Nea-mapping, including an element integration analysis, four patch tests and two convergence studies. To conclude this thesis, the capabilities of the Nea-mapping are demonstrated for simulating thermal and structural responses of materials with intricate geometries.
Soheil Soghrati (Advisor)
Stephen Niezgoda (Committee Member)
69 p.
Materials Science

Recommended Citations

Citations

  • Alvarez Merel, R. (2016). An Augmented NURBS-Enhanced Technique for the Finite Element Simulation [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1461159391

    APA Style (7th edition)

  • Alvarez Merel, Ricardo. An Augmented NURBS-Enhanced Technique for the Finite Element Simulation. 2016. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1461159391.

    MLA Style (8th edition)

  • Alvarez Merel, Ricardo. "An Augmented NURBS-Enhanced Technique for the Finite Element Simulation." Master's thesis, Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1461159391

    Chicago Manual of Style (17th edition)

osu1461159391
166
© 2016, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.