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Electromagnetic effects in the theory of rods. (English) Zbl 0568.73108

(Authors’ summary.) This paper is concerned with the nonlinear and linear thermomechanical theories of deformable rod-like bodies in which account is taken of electromagnetic effects. The development is made by a direct approach with the use of one-dimensional formulation of a theory of directed media called a Cosserat curve. The first part of the paper deals with the formulation of appropriate nonlinear equations governing the motion of a rod in the presence of electromagnetic and thermal effects. In the second part of the paper, emphasis is placed on the linearized version of the theory, a general discussion of the linear constitutive equations and determination of the constitutive coefficients, along with applications in a number of special cases including a magnetic thermoelastic rod and a non-conducting rod in free space.
Reviewer: A.Ghaleb

MSC:

74F15 Electromagnetic effects in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74A15 Thermodynamics in solid mechanics
74F05 Thermal effects in solid mechanics
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