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    Elastodynamic Fracture Analysis of Multiple Cracks by Laplace Finite Element Alternating Method

    Source: Journal of Applied Mechanics:;2000:;volume( 067 ):;issue: 003::page 606
    Author:
    W.-H. Chen
    ,
    C.-L. Chang
    ,
    C.-H. Tsai
    DOI: 10.1115/1.1311277
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The Laplace finite element alternating method, which combines the Laplace transform technique and the finite element alternating method, is developed to deal with the elastodynamic analysis of a finite plate with multiple cracks. By the Laplace transform technique, the complicated elastodynamic fracture problem is first transformed into an equivalent static fracture problem in the Laplace transform domain and then solved by the finite element alternating method developed. To do this, an analytical solution by Tsai and Ma for an infinite plate with a semi-infinite crack subjected to exponentially distributed loadings on crack surfaces in the Laplace transform domain is adopted. Finally, the real-time response can be computed by a numerical Laplace inversion algorithm. The technique established is applicable to the calculation of dynamic stress intensity factors of a finite plate with arbitrarily distributed edge cracks or symmetrically distributed central cracks. Only a simple finite element mesh with very limited number of regular elements is necessary. Since the solutions are independent of the size of time increment taken, the dynamic stress intensity factors at any specific instant can even be computed by a single time-step instead of step-by-step computations. The interaction among the cracks and finite geometrical boundaries on the dynamic stress intensity factors is also discussed in detail. [S0021-8936(00)02103-6]
    keyword(s): Stress , Fracture (Materials) , Finite element analysis , Fracture (Process) AND Laplace transforms ,
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      Elastodynamic Fracture Analysis of Multiple Cracks by Laplace Finite Element Alternating Method

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    http://yetl.yabesh.ir/yetl1/handle/yetl/123246
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    contributor authorW.-H. Chen
    contributor authorC.-L. Chang
    contributor authorC.-H. Tsai
    date accessioned2017-05-09T00:01:42Z
    date available2017-05-09T00:01:42Z
    date copyrightSeptember, 2000
    date issued2000
    identifier issn0021-8936
    identifier otherJAMCAV-26157#606_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/123246
    description abstractThe Laplace finite element alternating method, which combines the Laplace transform technique and the finite element alternating method, is developed to deal with the elastodynamic analysis of a finite plate with multiple cracks. By the Laplace transform technique, the complicated elastodynamic fracture problem is first transformed into an equivalent static fracture problem in the Laplace transform domain and then solved by the finite element alternating method developed. To do this, an analytical solution by Tsai and Ma for an infinite plate with a semi-infinite crack subjected to exponentially distributed loadings on crack surfaces in the Laplace transform domain is adopted. Finally, the real-time response can be computed by a numerical Laplace inversion algorithm. The technique established is applicable to the calculation of dynamic stress intensity factors of a finite plate with arbitrarily distributed edge cracks or symmetrically distributed central cracks. Only a simple finite element mesh with very limited number of regular elements is necessary. Since the solutions are independent of the size of time increment taken, the dynamic stress intensity factors at any specific instant can even be computed by a single time-step instead of step-by-step computations. The interaction among the cracks and finite geometrical boundaries on the dynamic stress intensity factors is also discussed in detail. [S0021-8936(00)02103-6]
    publisherThe American Society of Mechanical Engineers (ASME)
    titleElastodynamic Fracture Analysis of Multiple Cracks by Laplace Finite Element Alternating Method
    typeJournal Paper
    journal volume67
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.1311277
    journal fristpage606
    journal lastpage615
    identifier eissn1528-9036
    keywordsStress
    keywordsFracture (Materials)
    keywordsFinite element analysis
    keywordsFracture (Process) AND Laplace transforms
    treeJournal of Applied Mechanics:;2000:;volume( 067 ):;issue: 003
    contenttypeFulltext
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