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    On the Sufficient Symmetry Conditions for Isotropy of Elastic Moduli

    Source: Journal of Applied Mechanics:;2018:;volume( 085 ):;issue: 007::page 74502
    Author:
    Ayas, C.
    ,
    Tekog̃lu, C.
    DOI: 10.1115/1.4039952
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The structural symmetry of a material can be manifested at a multitude of length scales such as spatial arrangement of atoms in a crystal structure, preferred orientation of grains in a polycrystalline material, alignment of reinforcing particles/fibers in composites or the micro-architecture of members in cellular solids. This paper proofs, in a simple yet rigorous manner, that six axes of fivefold structural symmetry is necessary and sufficient for isotropy of the elastic moduli tensor in the three-dimensional (3D) context.
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      On the Sufficient Symmetry Conditions for Isotropy of Elastic Moduli

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    contributor authorAyas, C.
    contributor authorTekog̃lu, C.
    date accessioned2019-02-28T11:11:50Z
    date available2019-02-28T11:11:50Z
    date copyright5/8/2018 12:00:00 AM
    date issued2018
    identifier issn0021-8936
    identifier otherjam_085_07_074502.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4253712
    description abstractThe structural symmetry of a material can be manifested at a multitude of length scales such as spatial arrangement of atoms in a crystal structure, preferred orientation of grains in a polycrystalline material, alignment of reinforcing particles/fibers in composites or the micro-architecture of members in cellular solids. This paper proofs, in a simple yet rigorous manner, that six axes of fivefold structural symmetry is necessary and sufficient for isotropy of the elastic moduli tensor in the three-dimensional (3D) context.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Sufficient Symmetry Conditions for Isotropy of Elastic Moduli
    typeJournal Paper
    journal volume85
    journal issue7
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4039952
    journal fristpage74502
    journal lastpage074502-5
    treeJournal of Applied Mechanics:;2018:;volume( 085 ):;issue: 007
    contenttypeFulltext
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