其他摘要:In this work, the integration of singular kernels in a specially developed hole or inclusion boundary element is accomplished by the direct method. These elements are custom tailored for modeling two-dimensional microstructures containing cylindrical holes and/or inclusions, so that each micro-heterogeneity is represented by a single element. The traditional discretization in several boundary elements is then avoided. Using the direct method, all strongly singular integrals present in the element matrices are regularized. The convergence behavior of the proposed scheme is analyzed for several quadrature orders.