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    Negative Poisson’s Ratios in Anisotropic Linear Elastic Media

    Source: Journal of Applied Mechanics:;2005:;volume( 072 ):;issue: 006::page 929
    Author:
    T. C. Ting
    ,
    D. M. Barnett
    DOI: 10.1115/1.2042483
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Poisson’s ratio for an anisotropic linear elastic material depends on two orthogonal directions n and m. Materials with negative Poisson’s ratios for all (n,m) pairs are called completely auxetic while those with positive Poisson’s ratios for all (n,m) pairs are called nonauxetic. Simple necessary and sufficient conditions on elastic compliances are derived to identify if any given material of cubic or hexagonal symmetry is completely auxetic or nonauxetic. When these conditions are not satisfied, the medium is auxetic for some (n,m) pairs. Several simple necessary conditions for completely auxetic or nonauxetic media are derived for a general anisotropic elastic material.
    keyword(s): Crystals , Measurement , Poisson ratio , Equations AND Tensors ,
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      Negative Poisson’s Ratios in Anisotropic Linear Elastic Media

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    http://yetl.yabesh.ir/yetl1/handle/yetl/131151
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    contributor authorT. C. Ting
    contributor authorD. M. Barnett
    date accessioned2017-05-09T00:14:58Z
    date available2017-05-09T00:14:58Z
    date copyrightNovember, 2005
    date issued2005
    identifier issn0021-8936
    identifier otherJAMCAV-26595#929_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/131151
    description abstractPoisson’s ratio for an anisotropic linear elastic material depends on two orthogonal directions n and m. Materials with negative Poisson’s ratios for all (n,m) pairs are called completely auxetic while those with positive Poisson’s ratios for all (n,m) pairs are called nonauxetic. Simple necessary and sufficient conditions on elastic compliances are derived to identify if any given material of cubic or hexagonal symmetry is completely auxetic or nonauxetic. When these conditions are not satisfied, the medium is auxetic for some (n,m) pairs. Several simple necessary conditions for completely auxetic or nonauxetic media are derived for a general anisotropic elastic material.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNegative Poisson’s Ratios in Anisotropic Linear Elastic Media
    typeJournal Paper
    journal volume72
    journal issue6
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2042483
    journal fristpage929
    journal lastpage931
    identifier eissn1528-9036
    keywordsCrystals
    keywordsMeasurement
    keywordsPoisson ratio
    keywordsEquations AND Tensors
    treeJournal of Applied Mechanics:;2005:;volume( 072 ):;issue: 006
    contenttypeFulltext
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