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

Research output: Contribution to journalArticleAcademicpeer-review

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.

LanguageEnglish
Pages152-179
Number of pages28
JournalComputer Methods in Applied Mechanics and Engineering
Volume346
DOIs
StatePublished - 1 Apr 2019

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laminates
Laminates
damage
gradients
Partial differential equations
composite materials
Composite materials
Geometry
partial differential equations
mesh
Tensors
elliptic differential equations
geometry
smoothing
tensors
continuums
predictions

Keywords

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

Cite this

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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.",
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Gradient-enhanced damage modeling in Kirchhoff–Love shells : application to isogeometric analysis of composite laminates. / Pigazzini, M. S.; Kamensky, D.; van Iersel, D.A.P.; Alaydin, M. D.; Remmers, J.J.C.; Bazilevs, Y.

In: Computer Methods in Applied Mechanics and Engineering, Vol. 346, 01.04.2019, p. 152-179.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Pigazzini,M. S.

AU - Kamensky,D.

AU - van Iersel,D.A.P.

AU - Alaydin,M. D.

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AB - 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.

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