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    An Acoustoelastic Theory for Surface Waves in Anisotropic Media

    Source: Journal of Applied Mechanics:;1987:;volume( 054 ):;issue: 001::page 127
    Author:
    G. Thomas Mase
    ,
    G. C. Johnson
    DOI: 10.1115/1.3172946
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A theory for surface waves in an anisotropic material is developed in the framework of acoustoelasticity in which the material’s strain energy density is taken to be a cubic function in the strain. In order to relate the surface wave speeds to the applied stress, a configuration is introduced in which the effect of the local rotation is removed. The development shows that the surface wave speed can be determined from the eigenvalues of a particular real symmetric 2×2 matrix. Numerical results are given for uniaxial loading applied to aluminum and copper single crystals and to an ideal transversely isotropic aggregate of aluminum.
    keyword(s): Surface waves (Fluid) , Aluminum , Stress , Eigenvalues , Density , Rotation , Crystals AND Copper ,
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      An Acoustoelastic Theory for Surface Waves in Anisotropic Media

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/102191
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    contributor authorG. Thomas Mase
    contributor authorG. C. Johnson
    date accessioned2017-05-08T23:24:20Z
    date available2017-05-08T23:24:20Z
    date copyrightMarch, 1987
    date issued1987
    identifier issn0021-8936
    identifier otherJAMCAV-26277#127_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/102191
    description abstractA theory for surface waves in an anisotropic material is developed in the framework of acoustoelasticity in which the material’s strain energy density is taken to be a cubic function in the strain. In order to relate the surface wave speeds to the applied stress, a configuration is introduced in which the effect of the local rotation is removed. The development shows that the surface wave speed can be determined from the eigenvalues of a particular real symmetric 2×2 matrix. Numerical results are given for uniaxial loading applied to aluminum and copper single crystals and to an ideal transversely isotropic aggregate of aluminum.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAn Acoustoelastic Theory for Surface Waves in Anisotropic Media
    typeJournal Paper
    journal volume54
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3172946
    journal fristpage127
    journal lastpage135
    identifier eissn1528-9036
    keywordsSurface waves (Fluid)
    keywordsAluminum
    keywordsStress
    keywordsEigenvalues
    keywordsDensity
    keywordsRotation
    keywordsCrystals AND Copper
    treeJournal of Applied Mechanics:;1987:;volume( 054 ):;issue: 001
    contenttypeFulltext
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