Abstract
This paper presents a regularization scheme for the nearly singular integrals used for 3D elastostatic boundary element analysis. For the regularization process, the local projection coordinates of the source point are first located via an iteration procedure. For planar elements, the boundary integrals are analytically integrated by parts to smooth the drastic fluctuations of their integrands so that the regularized forms can be numerically integrated by any conventional schemes in an usual manner. The validity of the formulations is numerically tested using the Gauss Quadrature scheme. The test shows the accuracy is satisfactory for the distance ratio (distance: Element characteristic length) falling below micro-scale. To further demonstrate our successful implementation, a numerical example is studied with verifications compared with ANSYS analysis.
| Original language | English |
|---|---|
| Pages (from-to) | 533-543 |
| Number of pages | 11 |
| Journal | Journal of Mechanics |
| Volume | 31 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2015 Oct 1 |
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All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanical Engineering
- Applied Mathematics
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3D Elastostatic Boundary Element Analysis of thin bodies by Integral Regularizations. / Shiah, Y. C.
In: Journal of Mechanics, Vol. 31, No. 5, 01.10.2015, p. 533-543.Research output: Contribution to journal › Article
TY - JOUR
T1 - 3D Elastostatic Boundary Element Analysis of thin bodies by Integral Regularizations
AU - Shiah, Y. C.
PY - 2015/10/1
Y1 - 2015/10/1
N2 - This paper presents a regularization scheme for the nearly singular integrals used for 3D elastostatic boundary element analysis. For the regularization process, the local projection coordinates of the source point are first located via an iteration procedure. For planar elements, the boundary integrals are analytically integrated by parts to smooth the drastic fluctuations of their integrands so that the regularized forms can be numerically integrated by any conventional schemes in an usual manner. The validity of the formulations is numerically tested using the Gauss Quadrature scheme. The test shows the accuracy is satisfactory for the distance ratio (distance: Element characteristic length) falling below micro-scale. To further demonstrate our successful implementation, a numerical example is studied with verifications compared with ANSYS analysis.
AB - This paper presents a regularization scheme for the nearly singular integrals used for 3D elastostatic boundary element analysis. For the regularization process, the local projection coordinates of the source point are first located via an iteration procedure. For planar elements, the boundary integrals are analytically integrated by parts to smooth the drastic fluctuations of their integrands so that the regularized forms can be numerically integrated by any conventional schemes in an usual manner. The validity of the formulations is numerically tested using the Gauss Quadrature scheme. The test shows the accuracy is satisfactory for the distance ratio (distance: Element characteristic length) falling below micro-scale. To further demonstrate our successful implementation, a numerical example is studied with verifications compared with ANSYS analysis.
UR - http://www.scopus.com/inward/record.url?scp=84944355422&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84944355422&partnerID=8YFLogxK
U2 - 10.1017/jmech.2015.16
DO - 10.1017/jmech.2015.16
M3 - Article
AN - SCOPUS:84944355422
VL - 31
SP - 533
EP - 543
JO - Journal of Mechanics
JF - Journal of Mechanics
SN - 1727-7191
IS - 5
ER -