A novel boundary element approach for solving the 2D elasticity problems

The presentation is mainly devoted to the research on the regularized BEM formulations with indirect unknowns for two-dimensional (2D) elasticity problems. A novel regularization technique, in which regularized forms of the gradient equations without involving the direct calculation of CPV and HFP integrals are derived and shown to be independent of displacement equations, is pursued in this paper. After that, a numerically systematic scheme with generality is established by adopting quadratic Lagrange’s elements. Moreover, considering the special geometric domain, such as circular or elliptic arcs, a new boundary geometric approximate technique, named as exact elements, is presented, and thus by the utilization of these elements the error of the results will arise mainly from the approximation of boundary quantities. Numerical examples show that a better precision and high computational efficiency can be achieved.