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.
| Language | English |
|---|---|
| Pages | 152-179 |
| Number of pages | 28 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 346 |
| DOIs | |
| State | Published - 1 Apr 2019 |
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Keywords
- Continuum damage
- Gradient-enhanced model
- Isogeometric analysis
- Multilayer Kirchhoff–Love shell
- Nonlocal damage
- NURBS
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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 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 - Kamensky,D.
AU - van Iersel,D.A.P.
AU - Alaydin,M. D.
AU - Remmers,J.J.C.
AU - Bazilevs,Y.
PY - 2019/4/1
Y1 - 2019/4/1
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.
KW - Continuum damage
KW - Gradient-enhanced model
KW - Isogeometric analysis
KW - Multilayer Kirchhoff–Love shell
KW - Nonlocal damage
KW - NURBS
UR - http://www.scopus.com/inward/record.url?scp=85058824013&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2018.10.042
DO - 10.1016/j.cma.2018.10.042
M3 - Article
VL - 346
SP - 152
EP - 179
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -