Generalized solutions of the dynamic problem of perfect elastoplasticity
The concept of a generalized solution of an initial boundary value problem for the system of Prandtl-Reuss equations is introduced. It is shown that a generalized solution exists and is unique, and represents within the domain of elasticity a solution of the initial-boundary value problem of the dynamic theory of elasticity. An effective method for the approximate determination of the generalized solution is given, and conditions at its strong discontinuities are obtained. The basic results of this paper were published earlier without proof e.g. in Usp. Mat. Nauk 37, No.5(227), 189-190 (1982; Zbl 0513.73039).
approximate determination of the generalized solution
scientific article; zbMATH DE number 3976483
scientific article