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    Modeling of Threshold Strength in Cylindrical Ceramic Structures

    Source: Journal of Applied Mechanics:;2005:;volume( 072 ):;issue: 003::page 381
    Author:
    Fjóla Jónsdóttir
    ,
    Glenn E. Beltz
    ,
    Robert M. McMeeking
    DOI: 10.1115/1.1831296
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Recently, three-dimensional structured ceramic composites with large threshold strengths (i.e., stress below which there is zero probability of failure) have been fabricated utilizing an architecture consisting of relatively stress-free, elongated prismatic domains, separated by thin compressive walls. We build upon prior work on laminate architectures, with the common feature that these structures are all susceptible to fracture. Typically, these three-dimensional structures consist of thin shells of mullite that surround alumina. Cracks, originating from large flaws within the ceramic body, are arrested by the surrounding compressive layers until a specific stress level is attained (i.e., the threshold strength), resulting in a truncation of the strength distribution in the flaw region. A preliminary stress intensity solution has shown that this arrest is caused by a reduction of the crack driving force by the residual compression in the compressive walls. This solution also predicts that the threshold strength is dependent not only on the magnitude of the residual compression in the walls but also on the dimensions of both phases. A finite element model is presented that utilizes a penny-shaped crack in the interior of such a structure or half-penny-shaped crack emanating from the edge of such a structure. Ongoing analytical and experimental work that is needed to more fully understand this arrest phenomenon and its application towards the development of reliable, damage-tolerant ceramic components are discussed.
    keyword(s): Ceramics , Stress , Fracture (Materials) AND Laminates ,
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      Modeling of Threshold Strength in Cylindrical Ceramic Structures

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    contributor authorFjóla Jónsdóttir
    contributor authorGlenn E. Beltz
    contributor authorRobert M. McMeeking
    date accessioned2017-05-09T00:15:05Z
    date available2017-05-09T00:15:05Z
    date copyrightMay, 2005
    date issued2005
    identifier issn0021-8936
    identifier otherJAMCAV-26591#381_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/131232
    description abstractRecently, three-dimensional structured ceramic composites with large threshold strengths (i.e., stress below which there is zero probability of failure) have been fabricated utilizing an architecture consisting of relatively stress-free, elongated prismatic domains, separated by thin compressive walls. We build upon prior work on laminate architectures, with the common feature that these structures are all susceptible to fracture. Typically, these three-dimensional structures consist of thin shells of mullite that surround alumina. Cracks, originating from large flaws within the ceramic body, are arrested by the surrounding compressive layers until a specific stress level is attained (i.e., the threshold strength), resulting in a truncation of the strength distribution in the flaw region. A preliminary stress intensity solution has shown that this arrest is caused by a reduction of the crack driving force by the residual compression in the compressive walls. This solution also predicts that the threshold strength is dependent not only on the magnitude of the residual compression in the walls but also on the dimensions of both phases. A finite element model is presented that utilizes a penny-shaped crack in the interior of such a structure or half-penny-shaped crack emanating from the edge of such a structure. Ongoing analytical and experimental work that is needed to more fully understand this arrest phenomenon and its application towards the development of reliable, damage-tolerant ceramic components are discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleModeling of Threshold Strength in Cylindrical Ceramic Structures
    typeJournal Paper
    journal volume72
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.1831296
    journal fristpage381
    journal lastpage388
    identifier eissn1528-9036
    keywordsCeramics
    keywordsStress
    keywordsFracture (Materials) AND Laminates
    treeJournal of Applied Mechanics:;2005:;volume( 072 ):;issue: 003
    contenttypeFulltext
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