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 language | English |
|---|---|
| Pages (from-to) | 933-943 |
| Number of pages | 11 |
| Journal | Composite Structures |
| Volume | 132 |
| DOIs | |
| Publication status | Published - 2015 Nov 5 |
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All Science Journal Classification (ASJC) codes
- Ceramics and Composites
- Civil and Structural Engineering
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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 journal › Article
TY - JOUR
T1 - Singular integrals in boundary elements for coupled stretching-bending analysis of unsymmetric laminates
AU - Hwu, Chyanbin
AU - Chang, H. W.
PY - 2015/11/5
Y1 - 2015/11/5
N2 - 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.
AB - 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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U2 - 10.1016/j.compstruct.2015.06.063
DO - 10.1016/j.compstruct.2015.06.063
M3 - Article
VL - 132
SP - 933
EP - 943
JO - Composite Structures
JF - Composite Structures
SN - 0263-8223
ER -