A Kind Of New Nonsingular Boundary Integral Equations For Elastic Plane Problem
弹性力学平面问题中一类无奇异边界积分方程

A new approach is presented, in which the nonsingular IBIE is established. A numerically systematic scheme is established by adopting quadratic Lagrange's elements. A new geometry boundary approximate technique is presented. Some numerical examples will be applied to validate the current scheme. It is shown that a better precision and high computational efficiency can be derived by the presentation, especially the numerical results of boundary quantities match the exact solutions very well. Besides, it can be easily extended to the three dimensional problems. Compared with the direct unknown's situation, the present approach has many advantages: 1) it is not necessary to deal with the HFP so that it is simpler, and with better precision and high computational efficiency. 2) The presentation only requires algebraic manipulations so that it can easily be extended to the other problems, such as potential problems and Stokes problems. 3) This paper establishes a technique applicable for the calculation of CPV integrals.