On the solution of three-dimensional boundary value problems for layered bodies with nonplanar interfaces
The three-dimensional boundary value problems of the mechanics of layered bodies, with interfaces that are described by nonlinear equations in terms of small parameters, are examined. The author constructed in a general form the recurrence relations and the differential operators of the accuracy that is required for applications. Some particular cases are studied and possible criteria are presented for evaluating the accuracy of the approximate solutions that are obtained with the boundary shape perturbation method.
scientific article; zbMATH DE number 803848