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A New Plate Formulation Based on Triangular Isogeometric Analysis

[+] Author Affiliations
Mehrdad Zareh, Xiaoping Qian

University of Wisconsin-Madison, Madison, WI

Paper No. DETC2018-85577, pp. V01AT02A013; 10 pages
doi:10.1115/DETC2018-85577
From:
  • ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 1A: 38th Computers and Information in Engineering Conference
  • Quebec City, Quebec, Canada, August 26–29, 2018
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5172-2
  • Copyright © 2018 by ASME

abstract

This paper presents application of rational triangular Bezier splines (rTBS) for developing Kirchhoff-Love plate elements in the context of isogeometric analysis. Triangular isogeometric analysis can provide the C1 continuity over the mesh including elements interfaces, a necessary condition in finite elements formulation based on Kirchhoff-Love shell and plate theory. Using rTBS and macro-element technique, we develop Kirchhoff-Love plate elements, investigate the convergence rate and apply the method on complex geometry. Obtained results demonstrate that the optimal convergence rate is achievable; moreover, this method is applicable to represent thin geometric models of complex topology or thin geometric models in which efficient local refinement is required.

Copyright © 2018 by ASME

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