کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
512289 | 866398 | 2015 | 9 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Efficient evaluation of integrals with kernel 1/rχ for quadrilateral elements with irregular shape Efficient evaluation of integrals with kernel 1/rχ for quadrilateral elements with irregular shape](/preview/png/512289.png)
In this paper, integrals with kernel 1/χr1/rχ are concerned with the following three aspects: a). the near singularity caused by distorted element shape; b). the near singularity derived from the angular direction; c). the singularity/near singularity in the radial direction. A conformal polar coordinate transformation (CPCT) is proposed to eliminate the shape effect of elements, which can keep the shape characteristic of distorted elements, and an improved sigmoidal transformation is introduced to alleviate the near singularity in the angular direction. By combination of the two strategies with existing methods, such as singularity subtraction method and distance transformation method utilized in this paper, an efficient and robust numerical integration approach can be obtained for various orders of singular/nearly singular integrals, and a distorted curved quadrilateral element extracted from a cylinder surface is provided to demonstrate the efficiency and robustness of the proposed method.
Journal: Engineering Analysis with Boundary Elements - Volume 61, December 2015, Pages 33–41