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    Change of Constitutive Relations due to Interaction Between Strain-Gradient Effect and Material Gradation

    Source: Journal of Applied Mechanics:;2006:;volume( 073 ):;issue: 005::page 871
    Author:
    Youn-Sha Chan
    ,
    Glaucio H. Paulino
    ,
    Albert C. Fannjiang
    DOI: 10.1115/1.2041658
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: For classical elasticity, the constitutive equations (Hooke’s law) have the same functional form for both homogeneous and nonhomogeneous materials. However, for strain-gradient elasticity, such is not the case. This paper shows that for strain-gradient elasticity with volumetric and surface energy (Casal’s continuum), extra terms appear in the constitutive equations which are associated with the interaction between the material gradation and the nonlocal effect of strain gradient. The corresponding governing partial differential equations are derived and their solutions are discussed.
    keyword(s): Elasticity , Constitutive equations , Gradients , Density , Stress AND Shear (Mechanics) ,
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      Change of Constitutive Relations due to Interaction Between Strain-Gradient Effect and Material Gradation

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    http://yetl.yabesh.ir/yetl1/handle/yetl/132983
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    contributor authorYoun-Sha Chan
    contributor authorGlaucio H. Paulino
    contributor authorAlbert C. Fannjiang
    date accessioned2017-05-09T00:18:32Z
    date available2017-05-09T00:18:32Z
    date copyrightSeptember, 2006
    date issued2006
    identifier issn0021-8936
    identifier otherJAMCAV-26602#871_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/132983
    description abstractFor classical elasticity, the constitutive equations (Hooke’s law) have the same functional form for both homogeneous and nonhomogeneous materials. However, for strain-gradient elasticity, such is not the case. This paper shows that for strain-gradient elasticity with volumetric and surface energy (Casal’s continuum), extra terms appear in the constitutive equations which are associated with the interaction between the material gradation and the nonlocal effect of strain gradient. The corresponding governing partial differential equations are derived and their solutions are discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleChange of Constitutive Relations due to Interaction Between Strain-Gradient Effect and Material Gradation
    typeJournal Paper
    journal volume73
    journal issue5
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2041658
    journal fristpage871
    journal lastpage875
    identifier eissn1528-9036
    keywordsElasticity
    keywordsConstitutive equations
    keywordsGradients
    keywordsDensity
    keywordsStress AND Shear (Mechanics)
    treeJournal of Applied Mechanics:;2006:;volume( 073 ):;issue: 005
    contenttypeFulltext
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