elasticity theory, boundary value problems, boundary element method, multiplyconnected domain, computer simulation

A numerical method for solving the fundamental boundary value problem of the plane theory of elasticity in a multiply-connected domain is suggested. Special attention is given to the transition from the boundary conditions for the elasticity problem to the boundary conditions for the biharmonic stress function. Such transition allows applying algorithm of solving boundary value problems for polyharmonic functions previously developed by the authors to the solution of the plane problem of elasticity theory. In the test examples a sufficiently high accuracy of the proposed method is shown using computer simulation

Terentiev Alexey Grigorievich e-mail: agterent@rambler.ru, Honored Scientist of Russian Federation, Doctor of Sciences (Physics and Mathematics), Professor, Chuvash State University, Cheboksary, Russia.

Kazakova Anastasiya Olegovna e-mail: kazakova_anastasia@bk.ru, Candidate of Sciences (Physics and Mathematics), Associate Professor, Chuvash State University, Cheboksary, Russia.