TY - JOUR
T1 - Singular integrals in boundary elements for coupled stretching-bending analysis of unsymmetric laminates
AU - Hwu, Chyanbin
AU - Chang, H. W.
N1 - Funding Information:
The authors would like to thank the National Science Councils, Taiwan, Republic of China , for support through Grant NSC101-2221-E-006-056-MY3 .
Publisher Copyright:
© 2015 Elsevier Ltd.
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
AN - SCOPUS:84937459182
SN - 0263-8223
VL - 132
SP - 933
EP - 943
JO - Composite Structures
JF - Composite Structures
ER -