Loaded crack surfaces in two and three dimensions with XFEM

Markus Schätzer, Thomas Peter Fries

Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

Abstract

A numerical framework in two and three dimensions is proposed for crack propagation induced by loaded crack surfaces. The method is based on the XFEM with a hybrid explicit-implicit crack description. The load on the crack surface is given on the explicit surface mesh and transferred to the zero-level set of the implicit description. Therefore, integration points must be identified on the zero-level set which are also used to determine stress intensity factors by crack opening displacements. A crack propagation model is developed where the load factor of the crack surface loading is determined such that the criterion for crack propagation is met. Numerical results show the versatility and success of the approach.

Originalspracheenglisch
Seiten (von - bis)863-885
Seitenumfang23
FachzeitschriftApplied Mathematical Modelling
Jahrgang78
DOIs
PublikationsstatusVeröffentlicht - 1 Feb 2020

Fingerprint

Surface Crack
Crack Propagation
Three-dimension
Two Dimensions
Zero set
Cracks
Level Set
Crack
Crack propagation
Stress Intensity Factor
Mesh
Numerical Results
Stress intensity factors
Model

Schlagwörter

    ASJC Scopus subject areas

    • !!Modelling and Simulation
    • Angewandte Mathematik

    Fields of Expertise

    • Information, Communication & Computing

    Dies zitieren

    Loaded crack surfaces in two and three dimensions with XFEM. / Schätzer, Markus; Fries, Thomas Peter.

    in: Applied Mathematical Modelling, Jahrgang 78, 01.02.2020, S. 863-885.

    Publikation: Beitrag in einer FachzeitschriftArtikelForschungBegutachtung

    @article{d36575ca95684f24a90d6663d99034e0,
    title = "Loaded crack surfaces in two and three dimensions with XFEM",
    abstract = "A numerical framework in two and three dimensions is proposed for crack propagation induced by loaded crack surfaces. The method is based on the XFEM with a hybrid explicit-implicit crack description. The load on the crack surface is given on the explicit surface mesh and transferred to the zero-level set of the implicit description. Therefore, integration points must be identified on the zero-level set which are also used to determine stress intensity factors by crack opening displacements. A crack propagation model is developed where the load factor of the crack surface loading is determined such that the criterion for crack propagation is met. Numerical results show the versatility and success of the approach.",
    keywords = "Crack propagation, Critical pressure, Data transfer, Superposition",
    author = "Markus Sch{\"a}tzer and Fries, {Thomas Peter}",
    year = "2020",
    month = "2",
    day = "1",
    doi = "10.1016/j.apm.2019.10.020",
    language = "English",
    volume = "78",
    pages = "863--885",
    journal = "Applied Mathematical Modelling",
    issn = "0307-904X",
    publisher = "Elsevier B.V.",

    }

    TY - JOUR

    T1 - Loaded crack surfaces in two and three dimensions with XFEM

    AU - Schätzer, Markus

    AU - Fries, Thomas Peter

    PY - 2020/2/1

    Y1 - 2020/2/1

    N2 - A numerical framework in two and three dimensions is proposed for crack propagation induced by loaded crack surfaces. The method is based on the XFEM with a hybrid explicit-implicit crack description. The load on the crack surface is given on the explicit surface mesh and transferred to the zero-level set of the implicit description. Therefore, integration points must be identified on the zero-level set which are also used to determine stress intensity factors by crack opening displacements. A crack propagation model is developed where the load factor of the crack surface loading is determined such that the criterion for crack propagation is met. Numerical results show the versatility and success of the approach.

    AB - A numerical framework in two and three dimensions is proposed for crack propagation induced by loaded crack surfaces. The method is based on the XFEM with a hybrid explicit-implicit crack description. The load on the crack surface is given on the explicit surface mesh and transferred to the zero-level set of the implicit description. Therefore, integration points must be identified on the zero-level set which are also used to determine stress intensity factors by crack opening displacements. A crack propagation model is developed where the load factor of the crack surface loading is determined such that the criterion for crack propagation is met. Numerical results show the versatility and success of the approach.

    KW - Crack propagation

    KW - Critical pressure

    KW - Data transfer

    KW - Superposition

    UR - http://www.scopus.com/inward/record.url?scp=85074580616&partnerID=8YFLogxK

    U2 - 10.1016/j.apm.2019.10.020

    DO - 10.1016/j.apm.2019.10.020

    M3 - Article

    VL - 78

    SP - 863

    EP - 885

    JO - Applied Mathematical Modelling

    JF - Applied Mathematical Modelling

    SN - 0307-904X

    ER -