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)

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

1 Citaat (Scopus)

Uittreksel

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.

TaalEngels
Pagina's152-179
Aantal pagina's28
TijdschriftComputer Methods in Applied Mechanics and Engineering
Volume346
DOI's
StatusGepubliceerd - 1 apr 2019

Vingerafdruk

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

Trefwoorden

    Citeer dit

    @article{ddb6ea1677ae4cebb1984f413ff9a0d5,
    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.",
    keywords = "Continuum damage, Gradient-enhanced model, Isogeometric analysis, Multilayer Kirchhoff–Love shell, Nonlocal damage, NURBS",
    author = "M.S. Pigazzini and D. Kamensky and {van Iersel}, D.A.P. and M.D. Alaydin and J.J.C. Remmers and Y. Bazilevs",
    year = "2019",
    month = "4",
    day = "1",
    doi = "10.1016/j.cma.2018.10.042",
    language = "English",
    volume = "346",
    pages = "152--179",
    journal = "Computer Methods in Applied Mechanics and Engineering",
    issn = "0045-7825",
    publisher = "Elsevier",

    }

    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. (Corresponding author).

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

    Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer 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 -