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    Theory of Fractional Order Generalized Thermoelasticity

    Source: Journal of Heat Transfer:;2010:;volume( 132 ):;issue: 006::page 61301
    Author:
    Hamdy M. Youssef
    DOI: 10.1115/1.4000705
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this work, a new model of thermoelasticity theory has been constructed in the context of a new consideration of heat conduction with fractional order, and its uniqueness theorem has been approved also. One-dimensional application for a half-space of elastic material, which is thermally shocked, has been solved by using Laplace transform and state-space techniques. According to the numerical results and its graphs, conclusion about the new theory of thermoelasticity has been constructed.
    keyword(s): Theorems (Mathematics) , Heat conduction , Equations , Laplace transforms AND Thermoelasticity ,
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      Theory of Fractional Order Generalized Thermoelasticity

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    https://yetl.yabesh.ir/yetl1/handle/yetl/143837
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    contributor authorHamdy M. Youssef
    date accessioned2017-05-09T00:38:55Z
    date available2017-05-09T00:38:55Z
    date copyrightJune, 2010
    date issued2010
    identifier issn0022-1481
    identifier otherJHTRAO-27889#061301_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/143837
    description abstractIn this work, a new model of thermoelasticity theory has been constructed in the context of a new consideration of heat conduction with fractional order, and its uniqueness theorem has been approved also. One-dimensional application for a half-space of elastic material, which is thermally shocked, has been solved by using Laplace transform and state-space techniques. According to the numerical results and its graphs, conclusion about the new theory of thermoelasticity has been constructed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleTheory of Fractional Order Generalized Thermoelasticity
    typeJournal Paper
    journal volume132
    journal issue6
    journal titleJournal of Heat Transfer
    identifier doi10.1115/1.4000705
    journal fristpage61301
    identifier eissn1528-8943
    keywordsTheorems (Mathematics)
    keywordsHeat conduction
    keywordsEquations
    keywordsLaplace transforms AND Thermoelasticity
    treeJournal of Heat Transfer:;2010:;volume( 132 ):;issue: 006
    contenttypeFulltext
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