弹性力学平面问题的无奇异边界积分方程

将弹性力学平面问题归化成无奇异边界积分方程，避免了传统的边界元法中的柯西主值（CPV）积分和Hadamard-Finite-Parts(HFP)积分的计算，建立完整的数值求解体系。

Nonsingularity boundary integral equationsfor elastic plane problems

The conventional boundary integral equation (BIE), which is generally expressed in terms of singular integrals in the sense of the Cauchy Principal Value(CPV), and the derivative BIE, which is similarly expressed in terms of hypersingular integral in the sense of the Hadamard Finite-Parts(HFP), both can be written as nonsingular integral equations. A systematic approach for circumventing numerical solution is established by using three order Lagrange interpolation collocation point methods. This approach leads to that calculating of CPV and HFP integral is avoided in the BEM.