The work and energy theorem and the reciprocity relation in asymmetric magneto-elastodynamics (Q1063462)
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scientific article; zbMATH DE number 3917896
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The work and energy theorem and the reciprocity relation in asymmetric magneto-elastodynamics |
scientific article; zbMATH DE number 3917896 |
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The work and energy theorem and the reciprocity relation in asymmetric magneto-elastodynamics (English)
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1985
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The paper presents the extension of classical theorems of work and energy and Graffi's reciprocity of linear elastodynamics to the magnetoelasticity of electrically conducting micropolar bodies. The magnetomechanical couplings materialize only in a ponderomotive force (but no couple). Since the ponderomotive force and the dynamical Maxwell equations are nonlinear in the fields the extension of such theorems for a spatially unbounded body requires some restrictions upon the large- distance behavior of solutions, e.g., reasonable growth of the speed of magnetosonic waves at infinity.
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extension of classical theorems of work and energy
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Graffi's reciprocity
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linear elastodynamics
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magnetoelasticity
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electrically conducting micropolar bodies
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ponderomotive force
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dynamical Maxwell equations
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nonlinear
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spatially unbounded body
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restrictions upon the large-distance behavior of solutions
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growth of the speed of magnetosonic waves at infinity
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0.7379437685012817
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0.7310984134674072
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