THE CONSTRUCTION OF SOLUTIONS OF PROBLEMS IN THE THEORY OF ELASTICITYIN THE FORM OF SERIES IN POWERS OF THE ELASTICITY CONSTANTS AND THEIRAPPLICATION TO VISCOELASTICITY

New forms of writing well-known elasticity problems are proposed which enable algorithms to be obtained for constructing solutions in the fo rm of series in powers of the elasticity constants. In particular, for a homogeneous isotropic body, the solutions are constructed in the fo rm of series in powers of the Il'yushin parameter omega and the bulk m odulus, while for a piecewise-homogeneous body, consisting of two mate rials, the solutions are constructed in the form of series in powers o f ol and oz. Applications of the forms of the solution obtained to pro blems of viscoelasticity are considered. Copyright (C) 1996 Elsevier S cience Ltd.