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    Advantages of Infinite Elements over Prespecified Boundary Conditions in Unbounded Problems

    Source: Journal of Computing in Civil Engineering:;2015:;Volume ( 029 ):;issue: 006
    Author:
    Aykut Erkal
    ,
    Debra F. Laefer
    ,
    Semih Tezcan
    DOI: 10.1061/(ASCE)CP.1943-5487.0000391
    Publisher: American Society of Civil Engineers
    Abstract: This paper promotes the further development and adoption of infinite elements for unbounded problems. This is done by demonstrating the ease of application and computational efficiency of infinite elements. Specifically, this paper introduces a comprehensive set of coordinate and field variable mapping functions for one-dimensional and two-dimensional infinite elements and the computational steps for the solution of the affiliated combined finite-infinite element models. Performance is then benchmarked against various parametric models for deflections and stresses in two examples of solid, unbounded problems: (1) a circular, uniformly-distributed load, and (2) a point load on a semiinfinite, axisymmetrical medium. The results are compared with those from the respective closed-form solution. As an example, when the vertical deflections in Example 2 are compared with the closed form solution, the 45% error level generated with fixed boundaries and 14% generated with spring-supported boundaries is reduced to only 1% with infinite elements, even with a coarse mesh. Furthermore, this increased accuracy is achieved with lower computational costs.
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      Advantages of Infinite Elements over Prespecified Boundary Conditions in Unbounded Problems

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    contributor authorAykut Erkal
    contributor authorDebra F. Laefer
    contributor authorSemih Tezcan
    date accessioned2017-12-16T09:18:07Z
    date available2017-12-16T09:18:07Z
    date issued2015
    identifier other%28ASCE%29CP.1943-5487.0000391.pdf
    identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4241128
    description abstractThis paper promotes the further development and adoption of infinite elements for unbounded problems. This is done by demonstrating the ease of application and computational efficiency of infinite elements. Specifically, this paper introduces a comprehensive set of coordinate and field variable mapping functions for one-dimensional and two-dimensional infinite elements and the computational steps for the solution of the affiliated combined finite-infinite element models. Performance is then benchmarked against various parametric models for deflections and stresses in two examples of solid, unbounded problems: (1) a circular, uniformly-distributed load, and (2) a point load on a semiinfinite, axisymmetrical medium. The results are compared with those from the respective closed-form solution. As an example, when the vertical deflections in Example 2 are compared with the closed form solution, the 45% error level generated with fixed boundaries and 14% generated with spring-supported boundaries is reduced to only 1% with infinite elements, even with a coarse mesh. Furthermore, this increased accuracy is achieved with lower computational costs.
    publisherAmerican Society of Civil Engineers
    titleAdvantages of Infinite Elements over Prespecified Boundary Conditions in Unbounded Problems
    typeJournal Paper
    journal volume29
    journal issue6
    journal titleJournal of Computing in Civil Engineering
    identifier doi10.1061/(ASCE)CP.1943-5487.0000391
    treeJournal of Computing in Civil Engineering:;2015:;Volume ( 029 ):;issue: 006
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian