Scientific journal

ISSN 1814-2400

INFORMATION SCIENCE AND CONTROL SYSTEMS

Zhiltsov A. V.

SADDLE POINT OF THE LAGRANGE FUNCTIONALS IN THE PROBLEM OF A BODY CONTAINING A THIN DEFECT WITH THE PARAMETER

The problem of a two-dimensional body with a defect, whose properties are characterized by a damage parameter, is considered. To solve the problem, it is proposed to use a dual method based on the modified Lagrange functional. A proof of the theorem on the saddle point of the Lagrange functional is given.

Keywords: body with defect, Lagrange functionals, duality methods, saddle point