Displacement gradients in BEM formulation for small strain plasticity

摘要

In the present work, we propose a consistent derivation of he regularized integral representations for displacement gradients within the boundary element formulation for solution of small strain plasticity problems. The regularization is carried out for both the domain and boundary integrals before any discretization and approximation of integral densities. Two kinds of the integral representations are derived with the leading singularity of the integral kernels being either hypersinularity or strong singularity. Both the two- and three-dimensional problems are considered simultaneously.