Impact Factor: ISRA (India) = 4.971 ISI (Dubai, UAE) = 0.829 GIF (Australia) = 0.564 JIF = 1.500 SIS (USA) = 0.912 РИНЦ (Russia) = 0.126 ESJI (KZ) = 8.716 SJIF (Morocco) = 5.667 ICV (Poland) = 6.630 PIF (India) = 1.940 IBI (India) = 4.260 OAJI (USA) = 0.350 Philadelphia, USA 205 QR -Issue QR -ArticleAbstract: A nonlinear two-dimensional model of magnetoelasticity of a current-carrying cylindrical shell is constructed in the paper with account for anisotropy of conductive properties. It is assumed that the main directions of the anisotropy of shell material properties coincide with the directions of the corresponding coordinate axes, and it is believed that an anisotropic body is linear with respect to magnetic and electrical properties. A coupled system of nonlinear differential equations is obtained that describes the stress-strain state of flexible current-carrying cylindrical shells with anisotropy of conductive properties, under unsteady-state power and electromagnetic loads; a boundary-value problem is formulated.