Abstract
A two-dimensional variant of connected nonlinear equations of electrodynamics of the current-carrying orthotropic rotation shells, under no stationary loads is presented. A procedure for solution of asymmetrical problems of magneto elasticity of flexible current-carrying orthotropic rotation shells under no stationary actions of mechanical and electro-magnetic forces is plotted. A stress-strained state of flexible current-carrying orthotropic rotation shells is geometrically nonlinear statement.
Highlights
The development of the theory of conjugate fields, and in particular the theory of electromagnetic interaction with deformable medium is considered as one of the main directions of development of modern solid mechanics
The mechanism of interaction of elastic medium with the electromagnetic field due to various and geometrical characteristics and physical properties of the body is in question
The problem of interaction of structural elements such as shells and plates with the electromagnetic field can arise in many areas of modern technology
Summary
The development of the theory of conjugate fields, and in particular the theory of electromagnetic interaction with deformable medium is considered as one of the main directions of development of modern solid mechanics. The mechanism of interaction of elastic medium with the electromagnetic field due to various and geometrical characteristics and physical properties of the body is in question This mechanism gets some special features when considering the problem of relative thin shells having anisotropic conductive. Often the interaction of electromagnetic fields with a resilient body occurs in the presence of an external electric current (e.g., elasticcarrying body) in a magnetic field, or in its absence In this case, we have a problem electro-magneto-elasticity. Significant impacts on the electrodynamics forces are thin-walled elements, plates and shells. This in turn requires the study of the stressstrain state of plates and shells to take into account the geometric nonlinearity. The study of unsteady problems of deformation of flexible current-carrying plates and shells in a magnetic field on the basis of a nonlinear system of magneto elasticity represents actual scientific task
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