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    A Mixed Method in Elasticity

    Source: Journal of Applied Mechanics:;1977:;volume( 044 ):;issue: 001::page 51
    Author:
    N. S. V. Kameswara Rao
    ,
    Y. C. Das
    DOI: 10.1115/1.3424013
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A mixed method for three-dimensional elasto-dynamic problems has been formulated which gives a complete choice in prescribing the boundary conditions in terms of either stresses, or displacements, or partly stresses and partly displacements. The general expressions for the responses of the elastic body have been derived in the form of transcendental partial differential equations of a set of initial functions, which can be evaluated in terms of the prescribed boundary conditions. The method so-formulated has been illustrated by applying it to the theory of plates. Only plates subjected to antisymmetric loads have been considered for illustration. Some examples of free and forced vibration of plates have been presented. Results are compared with solutions from existing theories.
    keyword(s): Elasticity , Stress , Plates (structures) , Boundary-value problems , Functions , Partial differential equations AND Vibration ,
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      A Mixed Method in Elasticity

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    contributor authorN. S. V. Kameswara Rao
    contributor authorY. C. Das
    date accessioned2017-05-08T23:02:25Z
    date available2017-05-08T23:02:25Z
    date copyrightMarch, 1977
    date issued1977
    identifier issn0021-8936
    identifier otherJAMCAV-26068#51_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/89592
    description abstractA mixed method for three-dimensional elasto-dynamic problems has been formulated which gives a complete choice in prescribing the boundary conditions in terms of either stresses, or displacements, or partly stresses and partly displacements. The general expressions for the responses of the elastic body have been derived in the form of transcendental partial differential equations of a set of initial functions, which can be evaluated in terms of the prescribed boundary conditions. The method so-formulated has been illustrated by applying it to the theory of plates. Only plates subjected to antisymmetric loads have been considered for illustration. Some examples of free and forced vibration of plates have been presented. Results are compared with solutions from existing theories.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Mixed Method in Elasticity
    typeJournal Paper
    journal volume44
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3424013
    journal fristpage51
    journal lastpage56
    identifier eissn1528-9036
    keywordsElasticity
    keywordsStress
    keywordsPlates (structures)
    keywordsBoundary-value problems
    keywordsFunctions
    keywordsPartial differential equations AND Vibration
    treeJournal of Applied Mechanics:;1977:;volume( 044 ):;issue: 001
    contenttypeFulltext
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