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

M.S. Pigazzini, D. Kaminsky, D.A.P. van Iersel, M.D. Alaydin, J.J.C. Remmers, Yuri Bazilevs

Research output: Contribution to journal › Article › Academic › peer-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
JournalComputer Methods in Applied Mechanics and Engineering
DOIs
StateE-pub ahead of print - 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

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Pigazzini, M.S. ; Kaminsky, D. ; van Iersel, D.A.P. ; Alaydin, M.D. ; Remmers, J.J.C. ; Bazilevs, Yuri. / Gradient-enhanced damage modeling in Kirchhoff–Love shells: application to isogeometric analysis of composite laminates. In: Computer Methods in Applied Mechanics and Engineering. 2019
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title = "Gradient-enhanced damage modeling in Kirchhoff–Love shells:: application to isogeometric analysis of composite laminates",
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.",
author = "M.S. Pigazzini and D. Kaminsky and {van Iersel}, D.A.P. and M.D. Alaydin and J.J.C. Remmers and Yuri Bazilevs",
year = "2019",
doi = "10.1016/j.cma.2018.10.042",
language = "English",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",

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Pigazzini, MS, Kaminsky, D, van Iersel, DAP, Alaydin, MD, Remmers, JJC & Bazilevs, Y 2019, 'Gradient-enhanced damage modeling in Kirchhoff–Love shells: application to isogeometric analysis of composite laminates' Computer Methods in Applied Mechanics and Engineering. DOI: 10.1016/j.cma.2018.10.042

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

In: Computer Methods in Applied Mechanics and Engineering, 2019.

Research output: Contribution to journal › Article › Academic › peer-review

TY - JOUR

T1 - Gradient-enhanced damage modeling in Kirchhoff–Love shells:

T2 - Computer Methods in Applied Mechanics and Engineering

AU - Pigazzini,M.S.

AU - Kaminsky,D.

AU - van Iersel,D.A.P.

AU - Alaydin,M.D.

AU - Remmers,J.J.C.

AU - Bazilevs,Yuri

PY - 2019

Y1 - 2019

N2 - 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.

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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DO - 10.1016/j.cma.2018.10.042

M3 - Article

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

ER -

Pigazzini MS, Kaminsky D, van Iersel DAP, Alaydin MD, Remmers JJC, Bazilevs Y. Gradient-enhanced damage modeling in Kirchhoff–Love shells: application to isogeometric analysis of composite laminates. Computer Methods in Applied Mechanics and Engineering. 2019. Available from, DOI: 10.1016/j.cma.2018.10.042

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