TY - JOUR
T1 - New treatment of the self-weight and the inertial effects of rotation for the BEM formulation of 2D anisotropic solids
AU - Shiah, Y. C.
AU - Ye, Shang Yu
N1 - Funding Information:
The authors gratefully acknowledge the financial support from the Ministry of Science and Technology, Taiwan ( MOST 105–2221-E-006–113 ).
PY - 2016/12/1
Y1 - 2016/12/1
N2 - As an evident drawback for using the conventional boundary element method (BEM), an extra domain integral is present in the boundary integral equation when body-force effects are involved. For 2D anisotropic elastostatics, the extra domain integral has been exactly transformed to the boundary; however, an additional line integral intersecting the domain is involved for general cases to make the transformation. For a multiply connected region, this process is quite involving and computation-wise inefficient indeed, especially when its geometry is very complicated. In this article, a new approach is proposed to make the transformation, yet without involving extra line integrals. By this approach, the BEM's notion as a boundary solution technique is completely restored. In the end, a few benchmark problems are studied to demonstrate the veracity of formulations as well as our successful implementation in an existing BEM code.
AB - As an evident drawback for using the conventional boundary element method (BEM), an extra domain integral is present in the boundary integral equation when body-force effects are involved. For 2D anisotropic elastostatics, the extra domain integral has been exactly transformed to the boundary; however, an additional line integral intersecting the domain is involved for general cases to make the transformation. For a multiply connected region, this process is quite involving and computation-wise inefficient indeed, especially when its geometry is very complicated. In this article, a new approach is proposed to make the transformation, yet without involving extra line integrals. By this approach, the BEM's notion as a boundary solution technique is completely restored. In the end, a few benchmark problems are studied to demonstrate the veracity of formulations as well as our successful implementation in an existing BEM code.
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U2 - 10.1016/j.enganabound.2016.10.001
DO - 10.1016/j.enganabound.2016.10.001
M3 - Article
AN - SCOPUS:84990842390
SN - 0955-7997
VL - 73
SP - 170
EP - 180
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
ER -