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    Thermoelasticity When the Material Coupling Parameter Equals Unity

    Source: Journal of Applied Mechanics:;1965:;volume( 032 ):;issue: 002::page 378
    Author:
    O. W. Dillon
    DOI: 10.1115/1.3625810
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Analytical solutions of three problems in coupled thermoelasticity are presented for the case when the material coupling parameter equals unity. The problems considered are: (a) Danilovskaya’s problem of a step function in temperature at the surface; (b) a step function in surface strain; and (c) constant velocity impact. Solutions are presented for the case of thin bars (one-dimensional stress) and are obtained by the Laplace-transform technique. There is great simplification in the equations when the material coupling parameter equals unity which permits the straightforward inversion of the transformed solutions. The results demonstrate significant deviations from the corresponding uncoupled solutions.
    keyword(s): Thermoelasticity , Temperature , Stress , Equations AND Laplace transforms ,
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      Thermoelasticity When the Material Coupling Parameter Equals Unity

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    contributor authorO. W. Dillon
    date accessioned2017-05-08T23:27:58Z
    date available2017-05-08T23:27:58Z
    date copyrightJune, 1965
    date issued1965
    identifier issn0021-8936
    identifier otherJAMCAV-25803#378_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/104345
    description abstractAnalytical solutions of three problems in coupled thermoelasticity are presented for the case when the material coupling parameter equals unity. The problems considered are: (a) Danilovskaya’s problem of a step function in temperature at the surface; (b) a step function in surface strain; and (c) constant velocity impact. Solutions are presented for the case of thin bars (one-dimensional stress) and are obtained by the Laplace-transform technique. There is great simplification in the equations when the material coupling parameter equals unity which permits the straightforward inversion of the transformed solutions. The results demonstrate significant deviations from the corresponding uncoupled solutions.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThermoelasticity When the Material Coupling Parameter Equals Unity
    typeJournal Paper
    journal volume32
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3625810
    journal fristpage378
    journal lastpage382
    identifier eissn1528-9036
    keywordsThermoelasticity
    keywordsTemperature
    keywordsStress
    keywordsEquations AND Laplace transforms
    treeJournal of Applied Mechanics:;1965:;volume( 032 ):;issue: 002
    contenttypeFulltext
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