INVESTIGATION OF THE INFLUENCE OF PLASTIC DEFORMATIONS IN MODELING THE STRESS-STRAIN STATE OF A FLEXIBLE FILAMENT 

Tarasov Denis Alexandrovich, candidate of technical sciences, associate professor, sub-department of automated security systems, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: tarasov.denis.penza@gmail.com
Lipov Alexander Viktorovich, candidate of technical sciences, head of sub-department of computer-aided design of technological equipment, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: mrs@pnzgu.ru
Iryshkov Aleksey Mihailovich, master degree student, Penza State University (40 Krasnaya street, Penza, Russia), E-mail: alexei.iryshkov@yandex.ru 

624.071.22:531.011 

10.21685/2227-8486-2020-1-8 

Subject and goals. Currently, in engineering practice, composite materials are increasingly being used, allowing for the work in the elastic-plastic area. There is a need to study the influence of physical nonlinearity of the material on the stress-strain state of structures. This is especially important for systems that are modeled using geometric nonlinearity. Such systems include structures that have a load-bearing capacity that is provided by flexible threads.
Methods. The research was carried out using the proposed method based on the theory of mathematical modeling using the apparatus of differential and integral calculus of functions of one and several variables, as well as the positions of the resistance of materials.
Results and conclusions. A comparative analysis of data obtained using linear and physically nonlinear calculations for different values of dynamic load is carried out. The dependences of the influence of plastic deformations on the stress-strain state of a flexible thread are revealed. To determine the true behavior from external influences, modeling of the flexible thread must be carried out taking into account the development of plastic deformations of the material. 

stresses, deformations, flexible thread, physical nonlinearity, geometric nonlinearity