TY - JOUR
T1 - Gradient-enhanced damage modeling in Kirchhoff–Love shells
T2 - application to isogeometric analysis of composite laminates
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
AN - SCOPUS:85058824013
SN - 0045-7825
VL - 346
SP - 152
EP - 179
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
ER -