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    Stability of Cohesive Crack Model: Part II—Eigenvalue Analysis of Size Effect on Strength and Ductility of Structures

    Source: Journal of Applied Mechanics:;1995:;volume( 062 ):;issue: 004::page 965
    Author:
    Z. P. Bažant
    ,
    Yuan-Neng Li
    DOI: 10.1115/1.2896030
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The preceding paper is extended to the analysis of size effect on strength and ductility of structures. For the case of geometrically similar structures of different sizes, the criterion of stability limit is transformed to an eigenvalue problem for a homogeneous Fredholm integral equation, with the structure size as the eigenvalue. Under the assumption of a linear softening stress-displacement relation for the cohesive crack, the eigenvalue problem is linear. The maximum load of structure under load control, as well as the maximum deflection under displacement control (which characterizes ductility of the structure), can be solved explicitly in terms of the eigenfunction of the aforementioned integral equation.
    keyword(s): Ductility , Fracture (Materials) , Stability , Eigenvalues , Size effect , Stress , Fredholm integral equations , Integral equations , Eigenfunctions , Deflection , Displacement AND Displacement control ,
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      Stability of Cohesive Crack Model: Part II—Eigenvalue Analysis of Size Effect on Strength and Ductility of Structures

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    http://yetl.yabesh.ir/yetl1/handle/yetl/114770
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    contributor authorZ. P. Bažant
    contributor authorYuan-Neng Li
    date accessioned2017-05-08T23:46:17Z
    date available2017-05-08T23:46:17Z
    date copyrightDecember, 1995
    date issued1995
    identifier issn0021-8936
    identifier otherJAMCAV-26366#965_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/114770
    description abstractThe preceding paper is extended to the analysis of size effect on strength and ductility of structures. For the case of geometrically similar structures of different sizes, the criterion of stability limit is transformed to an eigenvalue problem for a homogeneous Fredholm integral equation, with the structure size as the eigenvalue. Under the assumption of a linear softening stress-displacement relation for the cohesive crack, the eigenvalue problem is linear. The maximum load of structure under load control, as well as the maximum deflection under displacement control (which characterizes ductility of the structure), can be solved explicitly in terms of the eigenfunction of the aforementioned integral equation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStability of Cohesive Crack Model: Part II—Eigenvalue Analysis of Size Effect on Strength and Ductility of Structures
    typeJournal Paper
    journal volume62
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2896030
    journal fristpage965
    journal lastpage969
    identifier eissn1528-9036
    keywordsDuctility
    keywordsFracture (Materials)
    keywordsStability
    keywordsEigenvalues
    keywordsSize effect
    keywordsStress
    keywordsFredholm integral equations
    keywordsIntegral equations
    keywordsEigenfunctions
    keywordsDeflection
    keywordsDisplacement AND Displacement control
    treeJournal of Applied Mechanics:;1995:;volume( 062 ):;issue: 004
    contenttypeFulltext
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