Damage mechanics model for brittle failure of transversely isotropic solids. Finite element implementation: Dissertation

    Research output: ThesisDissertationMonograph

    Abstract

    A new continuum damage model, the wing crack damage (WCD) model, was developed for the analysis of brittle failure of transversely isotropic solids. Special attention was paid to the analysis of axial splitting under compression and tensile cracking under tension. In addition to the WCD model a three-dimensional version of the damage model proposed by Murakami and Kamiya was enhanced and implemented in ABAQUS/Standard FE software. The proposed WCD model is based on the use of the damage vector. The vector represents both the normal direction of the surface of the plane crack and the size of the damaged area. Damaging induces anisotropy in an originally transversely isotropic material. The evolution equations for damage are motivated by the wing crack growth mechanism. The evolution is based on propagation of pre-existing damage. The proposed model enables modelling of pre-existing cracks. The feature can be exploited in studying the effect of orientation and size distribution of pre-existing cracks on the failure of materials. The model was implemented in ABAQUS/Standard FE software as a user subroutine. The unsymmetrical behaviour of cracked materials under tension and compression due to the opening and closure of cracks is taken into account in the proposed model. In the work it was shown that the widely used strain-based crack closure criteria cannot be reliably applied in a two- and three-dimensional stress state. To attain a deformation localisation zone of finite width, a damage rate-dependent damage surface was introduced. The validity of the proposed model was verified by testing it against five basic structures composed of known natural materials (ice, marble and concrete). The numerical simulations revealed the capability of the model in modelling brittle failure modes of transversely isotropic materials.
    Original languageEnglish
    QualificationDoctor Degree
    Awarding Institution
    • Aalto University
    Supervisors/Advisors
    • Mauri, Määttänen, Supervisor, External person
    Award date20 Apr 2007
    Place of PublicationEspoo
    Publisher
    Print ISBNs978-951-38-6995-3
    Electronic ISBNs978-951-38-6996-0
    Publication statusPublished - 2007
    MoE publication typeG4 Doctoral dissertation (monograph)

    Fingerprint

    Mechanics
    Cracks
    ABAQUS
    Marble
    Crack closure
    Subroutines
    Failure modes
    Ice
    Crack propagation
    Compaction
    Anisotropy
    Concretes
    Computer simulation
    Testing

    Keywords

    • failure mechanics
    • brittle failure
    • anisotropy
    • continuum mechanics
    • damage models
    • finite element analysis
    • solid materials
    • structural analysis
    • three-dimensional
    • transversal isotropy
    • wing crack

    Cite this

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    title = "Damage mechanics model for brittle failure of transversely isotropic solids. Finite element implementation: Dissertation",
    abstract = "A new continuum damage model, the wing crack damage (WCD) model, was developed for the analysis of brittle failure of transversely isotropic solids. Special attention was paid to the analysis of axial splitting under compression and tensile cracking under tension. In addition to the WCD model a three-dimensional version of the damage model proposed by Murakami and Kamiya was enhanced and implemented in ABAQUS/Standard FE software. The proposed WCD model is based on the use of the damage vector. The vector represents both the normal direction of the surface of the plane crack and the size of the damaged area. Damaging induces anisotropy in an originally transversely isotropic material. The evolution equations for damage are motivated by the wing crack growth mechanism. The evolution is based on propagation of pre-existing damage. The proposed model enables modelling of pre-existing cracks. The feature can be exploited in studying the effect of orientation and size distribution of pre-existing cracks on the failure of materials. The model was implemented in ABAQUS/Standard FE software as a user subroutine. The unsymmetrical behaviour of cracked materials under tension and compression due to the opening and closure of cracks is taken into account in the proposed model. In the work it was shown that the widely used strain-based crack closure criteria cannot be reliably applied in a two- and three-dimensional stress state. To attain a deformation localisation zone of finite width, a damage rate-dependent damage surface was introduced. The validity of the proposed model was verified by testing it against five basic structures composed of known natural materials (ice, marble and concrete). The numerical simulations revealed the capability of the model in modelling brittle failure modes of transversely isotropic materials.",
    keywords = "failure mechanics, brittle failure, anisotropy, continuum mechanics, damage models, finite element analysis, solid materials, structural analysis, three-dimensional, transversal isotropy, wing crack",
    author = "Kari Kolari",
    year = "2007",
    language = "English",
    isbn = "978-951-38-6995-3",
    series = "VTT Publications",
    publisher = "VTT Technical Research Centre of Finland",
    number = "628",
    address = "Finland",
    school = "Aalto University",

    }

    Damage mechanics model for brittle failure of transversely isotropic solids. Finite element implementation : Dissertation. / Kolari, Kari.

    Espoo : VTT Technical Research Centre of Finland, 2007. 210 p.

    Research output: ThesisDissertationMonograph

    TY - THES

    T1 - Damage mechanics model for brittle failure of transversely isotropic solids. Finite element implementation

    T2 - Dissertation

    AU - Kolari, Kari

    PY - 2007

    Y1 - 2007

    N2 - A new continuum damage model, the wing crack damage (WCD) model, was developed for the analysis of brittle failure of transversely isotropic solids. Special attention was paid to the analysis of axial splitting under compression and tensile cracking under tension. In addition to the WCD model a three-dimensional version of the damage model proposed by Murakami and Kamiya was enhanced and implemented in ABAQUS/Standard FE software. The proposed WCD model is based on the use of the damage vector. The vector represents both the normal direction of the surface of the plane crack and the size of the damaged area. Damaging induces anisotropy in an originally transversely isotropic material. The evolution equations for damage are motivated by the wing crack growth mechanism. The evolution is based on propagation of pre-existing damage. The proposed model enables modelling of pre-existing cracks. The feature can be exploited in studying the effect of orientation and size distribution of pre-existing cracks on the failure of materials. The model was implemented in ABAQUS/Standard FE software as a user subroutine. The unsymmetrical behaviour of cracked materials under tension and compression due to the opening and closure of cracks is taken into account in the proposed model. In the work it was shown that the widely used strain-based crack closure criteria cannot be reliably applied in a two- and three-dimensional stress state. To attain a deformation localisation zone of finite width, a damage rate-dependent damage surface was introduced. The validity of the proposed model was verified by testing it against five basic structures composed of known natural materials (ice, marble and concrete). The numerical simulations revealed the capability of the model in modelling brittle failure modes of transversely isotropic materials.

    AB - A new continuum damage model, the wing crack damage (WCD) model, was developed for the analysis of brittle failure of transversely isotropic solids. Special attention was paid to the analysis of axial splitting under compression and tensile cracking under tension. In addition to the WCD model a three-dimensional version of the damage model proposed by Murakami and Kamiya was enhanced and implemented in ABAQUS/Standard FE software. The proposed WCD model is based on the use of the damage vector. The vector represents both the normal direction of the surface of the plane crack and the size of the damaged area. Damaging induces anisotropy in an originally transversely isotropic material. The evolution equations for damage are motivated by the wing crack growth mechanism. The evolution is based on propagation of pre-existing damage. The proposed model enables modelling of pre-existing cracks. The feature can be exploited in studying the effect of orientation and size distribution of pre-existing cracks on the failure of materials. The model was implemented in ABAQUS/Standard FE software as a user subroutine. The unsymmetrical behaviour of cracked materials under tension and compression due to the opening and closure of cracks is taken into account in the proposed model. In the work it was shown that the widely used strain-based crack closure criteria cannot be reliably applied in a two- and three-dimensional stress state. To attain a deformation localisation zone of finite width, a damage rate-dependent damage surface was introduced. The validity of the proposed model was verified by testing it against five basic structures composed of known natural materials (ice, marble and concrete). The numerical simulations revealed the capability of the model in modelling brittle failure modes of transversely isotropic materials.

    KW - failure mechanics

    KW - brittle failure

    KW - anisotropy

    KW - continuum mechanics

    KW - damage models

    KW - finite element analysis

    KW - solid materials

    KW - structural analysis

    KW - three-dimensional

    KW - transversal isotropy

    KW - wing crack

    M3 - Dissertation

    SN - 978-951-38-6995-3

    T3 - VTT Publications

    PB - VTT Technical Research Centre of Finland

    CY - Espoo

    ER -