
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:title>ISOGEOMETRIC ANALYSIS VIA TRIANGULATION</dc:title>
  <dc:creator>Jaxon, Noah</dc:creator>
  <dc:description>We present a method for isogeometric analysis on a triangulation of a domain bounded by NURBS curves. In this method, both the geometry and the physical eld are represented by bivariate splines in Bernstein B ezier form over the triangulation. We describe a set of procedures to construct a parametric domain and its triangulation from a given physical domain, construct Cr-smooth basis functions over the domain, and establish a rational Triangular B ezier Spline (rTBS) -based geometric mapping that Cr smoothly maps the parametric domain onto the physical domain and exactly recovers NURBS boundaries. As a result, this approach can achieve automated meshing of objects with complex topologies and allows highly localized re nement. Isogeometric analysis of problems from linear elasticity and advectiondi usion analysis are demonstrated.</dc:description>
  <dc:description>M.S. in in Mechanical Engineering, May 2013</dc:description>
  <dc:contributor>Qian, Xiaoping</dc:contributor>
  <dc:date>2013-05-15</dc:date>
  <dc:date>2013-05</dc:date>
  <dc:type>Thesis</dc:type>
  <dc:format>application/pdf</dc:format>
  <dc:identifier>islandora:8933</dc:identifier>
  <dc:identifier>http://hdl.handle.net/10560/3067</dc:identifier>
  <dc:source>MMAE / Mechanical, Materials, and Aerospace Engineering</dc:source>
  <dc:source>Illinois Institute of Technology</dc:source>
  <dc:language>en</dc:language>
  <dc:rights>In Copyright</dc:rights>
  <dc:rights>http://rightsstatements.org/page/InC/1.0/</dc:rights>
  <dc:rights>Restricted Access</dc:rights>
</oai_dc:dc>