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    Conservation Laws and Material Momentum in Thermoelasticity

    Source: Journal of Applied Mechanics:;1982:;volume( 049 ):;issue: 004::page 710
    Author:
    G. Francfort
    ,
    A. Golebiewska Herrmann
    DOI: 10.1115/1.3162593
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The main goal of this paper is to construct a Lagrangian function such that not only the well-known equations of thermoelasticity, but also material conservation laws can be derived. As action variables, the position x of a material particle and a scalar function η related to temperature are used. The material momentum for thermoelasticity is derived. Here, by contrast to the purely elastic case, the material momentum depends on a time interval rather than on an instant of time. The balance of material momentum is integrated over time to produce a relation reminiscent of the impulse-momentum equation in classical mechanics.
    keyword(s): Momentum , Thermoelasticity , Equations , Classical mechanics , Temperature , Particulate matter , Impulse (Physics) AND Scalar functions ,
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      Conservation Laws and Material Momentum in Thermoelasticity

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    contributor authorG. Francfort
    contributor authorA. Golebiewska Herrmann
    date accessioned2017-05-08T23:12:22Z
    date available2017-05-08T23:12:22Z
    date copyrightDecember, 1982
    date issued1982
    identifier issn0021-8936
    identifier otherJAMCAV-26208#710_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/95274
    description abstractThe main goal of this paper is to construct a Lagrangian function such that not only the well-known equations of thermoelasticity, but also material conservation laws can be derived. As action variables, the position x of a material particle and a scalar function η related to temperature are used. The material momentum for thermoelasticity is derived. Here, by contrast to the purely elastic case, the material momentum depends on a time interval rather than on an instant of time. The balance of material momentum is integrated over time to produce a relation reminiscent of the impulse-momentum equation in classical mechanics.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleConservation Laws and Material Momentum in Thermoelasticity
    typeJournal Paper
    journal volume49
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3162593
    journal fristpage710
    journal lastpage714
    identifier eissn1528-9036
    keywordsMomentum
    keywordsThermoelasticity
    keywordsEquations
    keywordsClassical mechanics
    keywordsTemperature
    keywordsParticulate matter
    keywordsImpulse (Physics) AND Scalar functions
    treeJournal of Applied Mechanics:;1982:;volume( 049 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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