Isogeometric Collocation for Elastostatics and Explicit Dynamics

Abstract

We extend the development of collocation methods within the framework of Isogeometric Analysis (IGA) to multi-patch NURBS configurations, various boundary and patch interface conditions, and explicit dynamic analysis. The methods developed are higher-order accurate, stable with no hourglass modes, and efficient in that they require a minimum number of quadrature evaluations. The combination of these attributes has not been obtained previously within standard nite element analysis.

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Document Details

Document Type
Technical Report
Publication Date
Jan 25, 2012
Accession Number
ADA558917

Entities

People

  • A. Reali
  • F. Auricchio
  • Giancarlo Sangalli
  • L. Beirao Da Veiga
  • Thomas J.R. Hughes

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Composite Materials
  • Computational Fluid Dynamics
  • Computational Science
  • Computer-Aided Design
  • Differential Equations
  • Dynamics
  • Engineering
  • Equations
  • Geometry
  • Materials
  • Mathematical Analysis
  • Mechanics
  • Military Research
  • Standards
  • Transient Response Analysis
  • Two Dimensional

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)