Mathematical model of bending deformation of magnetoelasticity of micropolar electrically conductive (non ferromagnetic) thin bars with free fields of displacements and rotations
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2015, Vol 68, Issue 3
Abstract
In the present paper equations, boundary and initial conditions of megnetoelasticity are introduced for stress strain state of thin rectangular parallelepiped. Further, accepting that the height of the rectangle, which introduces the middle plane of the parallelepiped, is smaller compared with its length, rectangular parallelepiped is converted to the model of thin bar. Accepting asymptotically confirmed hypotheses, applied one-dimensional model of magnetoelasticity of micropolar thin bars is constructed. Energy balance equation is obtained for this model and, as a result, it is proved that the initial-boundary value problem of magnetoelasticity of micropolar thin bar has a unique solution.
Authors and Affiliations
Lusine Sargsyan, Samvel Sargsyan
Keywords
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