傳統的邊界元素法在分析有自體力效應的問題時有個缺點，在邊界積分式中會產生一域積分，在二維異向靜彈力中，已經將此域積分轉換成邊界積分，然而此轉換式中含有一項額外線積分，在分析多連通區域時，其會導致運算效率低落，特別是幾何形狀複雜的問題，本論文提出一個新的方法將域積分轉換成邊界積分，且不需要額外的線積分，藉由此方法讓邊界元素法完全恢復其邊界求解的特性，最後將以幾個實際範例應用來驗證公式的正確性。

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 validate 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 validate 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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