Mathematical methods of predicting determining factors characteristics of composites based on generalized durability models

¹ Institute of the problems to Oils and Gas of Research Scientific Center “Yakut Scientific Center of the Siberian Branch RAS”, 2, Petrovskogo st., Yakutsk, 677980, Russia
² Institute of Mathematics and Informatics, North-East Federal University, 48, Kulakovskogo st., Yakutsk, 677000, Russia
³ Institute of Applied Mechanics of Russian Academy of Sciences, 7, Leningradsky prospekt, Moscow, 125040, Russia

^* e-mail: elgusev@mail.ru

Abstract

The possibility of creating effective methods for predicting the defining characteristics of composites in refined variational formulations has been investigated. The methodology being developed is based on methods related to the theoretical justification of the admissibility of schemes for narrowing the set of acceptable options, in which the desired globally optimal solution continues to be found on the resulting set of smaller dimensions. Comparative computational experiments were carried out on the basis of the developed methods based on the application of necessary and sufficient extremum conditions. The conducted computational experiments have shown the effectiveness of the developed approach associated with the gradual complication of forecasting models and the corresponding sequential refinement of the optimal parameters of the model.