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    Effect of Volume Element Geometry on Convergence to a Representative Volume

    Source: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering:;2019:;volume( 005 ):;issue:003::page 30907
    Author:
    Acton, Katherine
    ,
    Sherod, Connor
    ,
    Bahmani, Bahador
    ,
    Abedi, Reza
    DOI: 10.1115/1.4043753
    Publisher: American Society of Mechanical Engineers (ASME)
    Abstract: To accurately simulate fracture, it is necessary to account for small-scale randomness in the properties of a material. Apparent properties of statistical volume element (SVE) can be characterized below the scale of a representative volume element (RVE). Apparent properties cannot be defined uniquely for an SVE, in the manner that unique effective properties can be defined for an RVE. Both constitutive behavior and material strength properties in SVE must be statistically characterized. The geometrical partitioning method can be critically important in affecting the probability distributions of mesoscale material property parameters. Here, a Voronoi tessellation-based partitioning scheme is applied to generate SVE. Resulting material property distributions are compared with those from SVE generated by square partitioning. The proportional limit stress of the SVE is used to approximate SVE strength. Superposition of elastic results is used to obtain failure strength distributions from boundary conditions at variable angles of loading.
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      Effect of Volume Element Geometry on Convergence to a Representative Volume

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4258068
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    • ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering

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    contributor authorActon, Katherine
    contributor authorSherod, Connor
    contributor authorBahmani, Bahador
    contributor authorAbedi, Reza
    date accessioned2019-09-18T09:01:59Z
    date available2019-09-18T09:01:59Z
    date copyright6/6/2019 12:00:00 AM
    date issued2019
    identifier issn2332-9017
    identifier otherrisk_005_03_030907
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4258068
    description abstractTo accurately simulate fracture, it is necessary to account for small-scale randomness in the properties of a material. Apparent properties of statistical volume element (SVE) can be characterized below the scale of a representative volume element (RVE). Apparent properties cannot be defined uniquely for an SVE, in the manner that unique effective properties can be defined for an RVE. Both constitutive behavior and material strength properties in SVE must be statistically characterized. The geometrical partitioning method can be critically important in affecting the probability distributions of mesoscale material property parameters. Here, a Voronoi tessellation-based partitioning scheme is applied to generate SVE. Resulting material property distributions are compared with those from SVE generated by square partitioning. The proportional limit stress of the SVE is used to approximate SVE strength. Superposition of elastic results is used to obtain failure strength distributions from boundary conditions at variable angles of loading.
    publisherAmerican Society of Mechanical Engineers (ASME)
    titleEffect of Volume Element Geometry on Convergence to a Representative Volume
    typeJournal Paper
    journal volume5
    journal issue3
    journal titleASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering
    identifier doi10.1115/1.4043753
    journal fristpage30907
    journal lastpage030907-8
    treeASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering:;2019:;volume( 005 ):;issue:003
    contenttypeFulltext
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