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    Poroelastic Solution of a Plane Strain Point Displacement Discontinuity

    Source: Journal of Applied Mechanics:;1987:;volume( 054 ):;issue: 004::page 783
    Author:
    E. Detournay
    ,
    A. H-D. Cheng
    DOI: 10.1115/1.3173117
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The plane strain fundamental solution of an instantaneous and a continuous point displacement discontinuity is presented in this paper. These solutions, together with the one of a fluid source, are obtained on the basis of a decomposition technique proposed by Biot, which separates the displacement field into a time independent part satisfying an elasticity equation, and an irrotational part governed by a diffusion equation. We begin the derivation by presenting a continuous edge dislocation. The continuous point displacement discontinuity is obtained by differentiating, along the direction of the cut, the corresponding edge dislocation solution. The instantaneous influence functions are determined by further differentiating with respect to time. The displacement discontinuity and source singularities can be distributed on a crack surface to create displacement and flux jumps required for the numerical modeling of a fracture in a poroelastic medium.
    keyword(s): Displacement , Plane strain , Dislocations , Equations , Functions , Elasticity , Diffusion (Physics) , Fluids , Computer simulation AND Fracture (Process) ,
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      Poroelastic Solution of a Plane Strain Point Displacement Discontinuity

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    http://yetl.yabesh.ir/yetl1/handle/yetl/102003
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    contributor authorE. Detournay
    contributor authorA. H-D. Cheng
    date accessioned2017-05-08T23:24:00Z
    date available2017-05-08T23:24:00Z
    date copyrightDecember, 1987
    date issued1987
    identifier issn0021-8936
    identifier otherJAMCAV-26288#783_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/102003
    description abstractThe plane strain fundamental solution of an instantaneous and a continuous point displacement discontinuity is presented in this paper. These solutions, together with the one of a fluid source, are obtained on the basis of a decomposition technique proposed by Biot, which separates the displacement field into a time independent part satisfying an elasticity equation, and an irrotational part governed by a diffusion equation. We begin the derivation by presenting a continuous edge dislocation. The continuous point displacement discontinuity is obtained by differentiating, along the direction of the cut, the corresponding edge dislocation solution. The instantaneous influence functions are determined by further differentiating with respect to time. The displacement discontinuity and source singularities can be distributed on a crack surface to create displacement and flux jumps required for the numerical modeling of a fracture in a poroelastic medium.
    publisherThe American Society of Mechanical Engineers (ASME)
    titlePoroelastic Solution of a Plane Strain Point Displacement Discontinuity
    typeJournal Paper
    journal volume54
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3173117
    journal fristpage783
    journal lastpage787
    identifier eissn1528-9036
    keywordsDisplacement
    keywordsPlane strain
    keywordsDislocations
    keywordsEquations
    keywordsFunctions
    keywordsElasticity
    keywordsDiffusion (Physics)
    keywordsFluids
    keywordsComputer simulation AND Fracture (Process)
    treeJournal of Applied Mechanics:;1987:;volume( 054 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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