Isogeometric Analysis of Nearly Incompressible Large Strain Plasticity

Abstract

We study the behavior of NURBS-based Isogeometric Analysis on problems of large-deformation plasticity. We evaluate the performance of standard NURBS elements and elements based on the F formulation of Elguedj et al. We determine that standard measures of evaluation employed in the literature, namely, displacements at selected locations and graphs of reaction forces versus displacements, are often misleading. On the other hand, stress distributions, in the form of contour plots, are the most revealing measure of element performance. We also determine that the concept of "mesh locking", which has dominated investigations of low-order elements, is not a relevant issue for higher-order NURBS elements for problems of large-deformation plasticity. However, standard higher-order NURBS elements of type Qk, of continuity class C(k-1), k is greater than or equal to 2, typically exhibit spurious stress oscillations, whereas the F elements of type Qk/Qk-1 produce good results in all cases.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 2011
Accession Number
ADA555354

Entities

People

  • T. Elguedj
  • Thomas J.R. Hughes

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Applied Mechanics
  • Computations
  • Computers
  • Consistency
  • Continuity
  • Displacement
  • Elastic Properties
  • Engineering
  • Geometry
  • Mechanics
  • Oscillation
  • Plastic Properties
  • Standards
  • Test And Evaluation
  • Three Dimensional

Readers

  • Computational Modeling and Simulation
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mechanical Engineering/Mechanics of Materials.