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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 |