growing solids, propagating growing surface, residual stress, functionally–graded material, viscoelasticity, aging material

The paper considers the problem of torsion of a growing triangular cross-section bar made of a viscoelastic aging functionally-graded material with integral boundary conditions at the ends. The process of continuous growth under the influence of torque is studied. Methods for solving the set boundary value problems by reducing the problems of the growth theory to the problems of the theory of elasticity with an internal parameter are proposed. Deciphering formulas are given to restore the true parameters of the stress-strain state. The distribution of the shear stress intensity at different stages of the growth process is investigated. Calculations of the problem of torsion of a prismatic bar with a cross-section in the form of a regular triangle are presented.

Mikhin Mikhail Nikolaevich

e-mail: mmokin@inbox.ru, PhD, Ascociated Professor, Branch of the Russian State University for the Humanities, Domodedovo, Russia Murashkin Evgenii Valerievich

e-mail: murashkin@ipmnet.ru. PhD, Senior Researcher, Ishlinsky Institute for Problems in Mechanics of RAS, Moscow, Russia