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    Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy

    Source: Journal of Applied Mechanics:;1978:;volume( 045 ):;issue: 002::page 366
    Author:
    T. J. R. Hughes
    ,
    T. K. Caughey
    ,
    W. K. Liu
    DOI: 10.1115/1.3424303
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A modification of the trapezoidal rule is presented which results in physically appropriate energy growth characteristics for nonlinear transient analysis. In particular, when external forces are absent, energy conservation is attained for nonlinear elastodynamics and unconditional stability is thereby automatically achieved. Implementation aspects and numerical examples in support of the theory are described.
    keyword(s): Finite element methods , Elastodynamics , Transient analysis , Energy conservation , Force AND Stability ,
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      Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/90722
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    contributor authorT. J. R. Hughes
    contributor authorT. K. Caughey
    contributor authorW. K. Liu
    date accessioned2017-05-08T23:04:17Z
    date available2017-05-08T23:04:17Z
    date copyrightJune, 1978
    date issued1978
    identifier issn0021-8936
    identifier otherJAMCAV-26093#366_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/90722
    description abstractA modification of the trapezoidal rule is presented which results in physically appropriate energy growth characteristics for nonlinear transient analysis. In particular, when external forces are absent, energy conservation is attained for nonlinear elastodynamics and unconditional stability is thereby automatically achieved. Implementation aspects and numerical examples in support of the theory are described.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFinite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy
    typeJournal Paper
    journal volume45
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3424303
    journal fristpage366
    journal lastpage370
    identifier eissn1528-9036
    keywordsFinite element methods
    keywordsElastodynamics
    keywordsTransient analysis
    keywordsEnergy conservation
    keywordsForce AND Stability
    treeJournal of Applied Mechanics:;1978:;volume( 045 ):;issue: 002
    contenttypeFulltext
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