Abstract: | Substantiation is given for a new iteration method that makes it possible to solve, with prescribed accuracy, boundary-value problems of quasistatics of a linearly viscoelastic body. A theorem is proved about the convergence of the iteration processes introduced. An approximate correspondence principle, making it possible to construct a solution for viscoelastic problems from known elastic problems, is obtained as a consequence of the theorem. Examples are given of an approximate determination of the connected-creep function, in terms of which numerous analytical solutions to viscoelasticity problems can be expressed.Deceased.Scientific-Research Institute of Applied Mathematics and Mechanics at Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 129–136, April, 1993. |