Galerkin Formulations with Greville Quadrature Rules for Isogeometric Shell Analysis: Higher Order Elements and Locking

Abstract

We propose new Greville quadrature schemes that asymptotically require only four in-plane points for Reissner-Mindlin (RM) shell elements and nine in-plane points for Kirchhoff-Love (KL) shell elements in B-spline and NURBS-based isogeometric shell analysis, independent of the polynomial degree of the elements. For polynomial degrees 5 and 6, the approach delivers high accuracy, low computational cost, and alleviates membrane and transverse shear locking.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2020
Accession Number
AD1146618

Entities

People

  • Eshwar J. Savitha
  • Michael A. Scott
  • Roger A. Sauer
  • Thomas J.R. Hughes
  • Zhihui Zou

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Applied Mechanics
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Displacement
  • Electronic Mail
  • Engineering
  • Equations
  • Finite Element Analysis
  • Geometry
  • Mechanics
  • Membranes
  • Modulus Of Elasticity
  • Standards
  • Structural Mechanics
  • Transverse
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.