Gradient-enhanced damage modeling in Kirchhoff–Love shells: application to isogeometric analysis of composite laminates

M.S. Pigazzini, D. Kamensky, D.A.P. van Iersel, M.D. Alaydin, J.J.C. Remmers, Y. Bazilevs (Corresponding author)

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)

Abstract

We extend a recently-developed framework for isogeometric analysis of composite laminates to drive material damage evolution with a smoothed strain field. This builds on ideas from gradient-enhanced continuum damage modeling, and is intended to limit the dependence of damage predictions on the choice of discrete mesh. The resulting enhanced framework models each lamina of a composite shell structure as a Kirchhoff–Love thin shell. To account for the anisotropic damage modes of laminae, we smooth a tensor-valued strain by solving an elliptic partial differential equation (PDE) system on each lamina. This strain-smoothing PDE system is formulated to be independent of the choice of coordinates and is applicable to general manifold shell geometries. Numerical examples illustrate the enhanced damage model's validity, mesh-independence, and applicability to complex industrial geometries.

Original languageEnglish
Pages (from-to)152-179
Number of pages28
JournalComputer Methods in Applied Mechanics and Engineering
Volume346
DOIs
Publication statusPublished - 1 Apr 2019

Keywords

  • Continuum damage
  • Gradient-enhanced model
  • Isogeometric analysis
  • Multilayer Kirchhoff–Love shell
  • Nonlocal damage
  • NURBS

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