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Determination of stresses in anisotropic plates with elastic inclusions based on singular integral equations.

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Title: Determination of stresses in anisotropic plates with elastic inclusions based on singular integral equations.
Authors: Maksymovych, Olesia1 (AUTHOR) olesyamax@meta.ua, Podhorecki, Adam1 (AUTHOR) podhorec@utp.edu.pl
Source: Engineering Analysis with Boundary Elements. Jul2019, Vol. 104, p364-372. 9p.
Subjects: Elastic plates & shells, Singular integrals, Differential inclusions, Quadrature domains, Numerical integration, Integral equations, Stress concentration
Abstract: In this paper, the singular integral equations are written for anisotropic plates with elastic anisotropic inclusions in a simple form based on simple dependencies between the Lekhnitskii complex potentials and stress and strain [5]. The numerical method for solving integral equations is developed by the mechanical quadrature formulas. Simplicity, precision of the application and stability of obtained numerical solution is illustrated in stress calculations with controlled accuracy in anisotropic plates: with inclusions of arbitrary shapes; with a system of inclusions, including periodic one; at tension at infinity and concentrated forces applied to inclusions. [ABSTRACT FROM AUTHOR]
Copyright of Engineering Analysis with Boundary Elements is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 136202081
AccessLevel: 6
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  Data: Determination of stresses in anisotropic plates with elastic inclusions based on singular integral equations.
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  Data: <searchLink fieldCode="AR" term="%22Maksymovych%2C+Olesia%22">Maksymovych, Olesia</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> olesyamax@meta.ua</i><br /><searchLink fieldCode="AR" term="%22Podhorecki%2C+Adam%22">Podhorecki, Adam</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> podhorec@utp.edu.pl</i>
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  Data: <searchLink fieldCode="JN" term="%22Engineering+Analysis+with+Boundary+Elements%22">Engineering Analysis with Boundary Elements</searchLink>. Jul2019, Vol. 104, p364-372. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Elastic+plates+%26+shells%22">Elastic plates & shells</searchLink><br /><searchLink fieldCode="DE" term="%22Singular+integrals%22">Singular integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+inclusions%22">Differential inclusions</searchLink><br /><searchLink fieldCode="DE" term="%22Quadrature+domains%22">Quadrature domains</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+integration%22">Numerical integration</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+equations%22">Integral equations</searchLink><br /><searchLink fieldCode="DE" term="%22Stress+concentration%22">Stress concentration</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this paper, the singular integral equations are written for anisotropic plates with elastic anisotropic inclusions in a simple form based on simple dependencies between the Lekhnitskii complex potentials and stress and strain [5]. The numerical method for solving integral equations is developed by the mechanical quadrature formulas. Simplicity, precision of the application and stability of obtained numerical solution is illustrated in stress calculations with controlled accuracy in anisotropic plates: with inclusions of arbitrary shapes; with a system of inclusions, including periodic one; at tension at infinity and concentrated forces applied to inclusions. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Engineering Analysis with Boundary Elements is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.enganabound.2019.03.039
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 9
        StartPage: 364
    Subjects:
      – SubjectFull: Elastic plates & shells
        Type: general
      – SubjectFull: Singular integrals
        Type: general
      – SubjectFull: Differential inclusions
        Type: general
      – SubjectFull: Quadrature domains
        Type: general
      – SubjectFull: Numerical integration
        Type: general
      – SubjectFull: Integral equations
        Type: general
      – SubjectFull: Stress concentration
        Type: general
    Titles:
      – TitleFull: Determination of stresses in anisotropic plates with elastic inclusions based on singular integral equations.
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            NameFull: Maksymovych, Olesia
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            NameFull: Podhorecki, Adam
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          Dates:
            – D: 01
              M: 07
              Text: Jul2019
              Type: published
              Y: 2019
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              Value: 104
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            – TitleFull: Engineering Analysis with Boundary Elements
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