Singular integrals in boundary elements for coupled stretching-bending analysis of unsymmetric laminates

Chyanbin Hwu, H. W. Chang

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

When an unsymmetric laminated plate is considered, the coupling of in-plane and plate bending problems is unavoidable. The boundary element for the coupled stretching-bending analysis was developed previously with suitable complex form fundamental solution. Usually, the singular integrals involved in the boundary element are treated by the conventional methods such as Gaussian quadrature rule for regular functions, logarithmic Gaussian quadrature formulas for the function with logarithmic terms, and the use of finite part integrals for the evaluation in sense of Cauchy principal value, or calculated indirectly through the employment of rigid body movement. To avoid the complexity of the numerical integration with complex form fundamental solution, in this paper we provide the explicit closed-form solutions for the singular integrals, which simplify the computer programming and expedite the numerical computation. And hence, the accuracy and efficiency of the associated boundary elements are improved through the newly derived analytical solutions.

Original languageEnglish
Pages (from-to)933-943
Number of pages11
JournalComposite Structures
Volume132
DOIs
Publication statusPublished - 2015 Nov 5

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Insulator Elements
Stretching
Laminates
Computer programming

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Civil and Structural Engineering

Cite this

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abstract = "When an unsymmetric laminated plate is considered, the coupling of in-plane and plate bending problems is unavoidable. The boundary element for the coupled stretching-bending analysis was developed previously with suitable complex form fundamental solution. Usually, the singular integrals involved in the boundary element are treated by the conventional methods such as Gaussian quadrature rule for regular functions, logarithmic Gaussian quadrature formulas for the function with logarithmic terms, and the use of finite part integrals for the evaluation in sense of Cauchy principal value, or calculated indirectly through the employment of rigid body movement. To avoid the complexity of the numerical integration with complex form fundamental solution, in this paper we provide the explicit closed-form solutions for the singular integrals, which simplify the computer programming and expedite the numerical computation. And hence, the accuracy and efficiency of the associated boundary elements are improved through the newly derived analytical solutions.",
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Singular integrals in boundary elements for coupled stretching-bending analysis of unsymmetric laminates. / Hwu, Chyanbin; Chang, H. W.

In: Composite Structures, Vol. 132, 05.11.2015, p. 933-943.

Research output: Contribution to journalArticle

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