An Augmented NURBS-Enhanced Technique for the Finite Element Simulation

Bibliographic Details
Main Author:	Alvarez Merel, Ricardo
Language:	English
Published:	The Ohio State University / OhioLINK 2016
Subjects:	Materials Science
Online Access:	http://rave.ohiolink.edu/etdc/view?acc_num=osu1461159391

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spelling	ndltd-OhioLink-oai-etd.ohiolink.edu-osu14611593912021-08-03T06:35:58Z An Augmented NURBS-Enhanced Technique for the Finite Element Simulation Alvarez Merel, Ricardo Materials Science 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. 2016-09-22 English text The Ohio State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=osu1461159391 http://rave.ohiolink.edu/etdc/view?acc_num=osu1461159391 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection	NDLTD
language	English
sources	NDLTD
topic	Materials Science
spellingShingle	Materials Science Alvarez Merel, Ricardo An Augmented NURBS-Enhanced Technique for the Finite Element Simulation
author	Alvarez Merel, Ricardo
author_facet	Alvarez Merel, Ricardo
author_sort	Alvarez Merel, Ricardo
title	An Augmented NURBS-Enhanced Technique for the Finite Element Simulation
title_short	An Augmented NURBS-Enhanced Technique for the Finite Element Simulation
title_full	An Augmented NURBS-Enhanced Technique for the Finite Element Simulation
title_fullStr	An Augmented NURBS-Enhanced Technique for the Finite Element Simulation
title_full_unstemmed	An Augmented NURBS-Enhanced Technique for the Finite Element Simulation
title_sort	augmented nurbs-enhanced technique for the finite element simulation
publisher	The Ohio State University / OhioLINK
publishDate	2016
url	http://rave.ohiolink.edu/etdc/view?acc_num=osu1461159391
work_keys_str_mv	AT alvarezmerelricardo anaugmentednurbsenhancedtechniqueforthefiniteelementsimulation AT alvarezmerelricardo augmentednurbsenhancedtechniqueforthefiniteelementsimulation
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An Augmented NURBS-Enhanced Technique for the Finite Element Simulation

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