Regular boundary element method for composite shear deformable plate and shell.

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Title: Regular boundary element method for composite shear deformable plate and shell.
Authors: Huang, W.1 (AUTHOR), Yan, X.B.1 (AUTHOR), Liao, J.X.1 (AUTHOR), Feng, L.K.1 (AUTHOR), Wen, P.H.1 (AUTHOR) p.h.wen@ncu.edu.cn
Source: Computers & Mathematics with Applications. Dec2025, Vol. 199, p106-126. 21p.
Subjects: Boundary element methods, Spherical shells (Engineering), Composite plates, Boundary value problems, Empirical research, Laplace transformation
Abstract: This paper presents a fundamental solution for a double-curvature simply supported shell, incorporating three concentrated forces and two bending moments. It introduces the reference domain concept and formulates fictitious load boundary integral equations using both constant and linear elements. These equations are developed in the Laplace transform domain for both static and dynamic problems. The key contribution of this study is the development of the Regular Boundary Element Method (RBEM) based on the new fundamental solution. The reference domain includes the real structure's configuration, and a system of linear equations is established with fictitious forces and moments as unknowns. These equations are derived from traction and displacement boundary conditions. To obtain all physical values in the time domain, the Durbin's Laplace inverse technique is applied. The accuracy and reliability of the proposed method are evaluated through four numerical examples, with results compared against exact solutions or the finite element method. [ABSTRACT FROM AUTHOR]
Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science 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.)
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DbLabel: Engineering Source
An: 188880164
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  Data: Regular boundary element method for composite shear deformable plate and shell.
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  Data: <searchLink fieldCode="AR" term="%22Huang%2C+W%2E%22">Huang, W.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yan%2C+X%2EB%2E%22">Yan, X.B.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Liao%2C+J%2EX%2E%22">Liao, J.X.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Feng%2C+L%2EK%2E%22">Feng, L.K.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wen%2C+P%2EH%2E%22">Wen, P.H.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> p.h.wen@ncu.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Computers+%26+Mathematics+with+Applications%22">Computers & Mathematics with Applications</searchLink>. Dec2025, Vol. 199, p106-126. 21p.
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  Data: <searchLink fieldCode="DE" term="%22Boundary+element+methods%22">Boundary element methods</searchLink><br /><searchLink fieldCode="DE" term="%22Spherical+shells+%28Engineering%29%22">Spherical shells (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Composite+plates%22">Composite plates</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink><br /><searchLink fieldCode="DE" term="%22Empirical+research%22">Empirical research</searchLink><br /><searchLink fieldCode="DE" term="%22Laplace+transformation%22">Laplace transformation</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: This paper presents a fundamental solution for a double-curvature simply supported shell, incorporating three concentrated forces and two bending moments. It introduces the reference domain concept and formulates fictitious load boundary integral equations using both constant and linear elements. These equations are developed in the Laplace transform domain for both static and dynamic problems. The key contribution of this study is the development of the Regular Boundary Element Method (RBEM) based on the new fundamental solution. The reference domain includes the real structure's configuration, and a system of linear equations is established with fictitious forces and moments as unknowns. These equations are derived from traction and displacement boundary conditions. To obtain all physical values in the time domain, the Durbin's Laplace inverse technique is applied. The accuracy and reliability of the proposed method are evaluated through four numerical examples, with results compared against exact solutions or the finite element method. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Computers & Mathematics with Applications is the property of Pergamon Press - An Imprint of Elsevier Science 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:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.camwa.2025.09.016
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      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 21
        StartPage: 106
    Subjects:
      – SubjectFull: Boundary element methods
        Type: general
      – SubjectFull: Spherical shells (Engineering)
        Type: general
      – SubjectFull: Composite plates
        Type: general
      – SubjectFull: Boundary value problems
        Type: general
      – SubjectFull: Empirical research
        Type: general
      – SubjectFull: Laplace transformation
        Type: general
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      – TitleFull: Regular boundary element method for composite shear deformable plate and shell.
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            NameFull: Huang, W.
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            NameFull: Yan, X.B.
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            NameFull: Liao, J.X.
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            NameFull: Feng, L.K.
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            NameFull: Wen, P.H.
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            – D: 01
              M: 12
              Text: Dec2025
              Type: published
              Y: 2025
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              Value: 199
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