Cauchy theory and the continua of Cosserat: New points of view (Q2712797)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cauchy theory and the continua of Cosserat: New points of view |
scientific article |
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29 September 2002
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Cauchy theory
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Cosserat continuum
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constitutive equations
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symmetry of stress
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size of elementary particles
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free energy
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parameter
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regularity
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displacements
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rotations
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first approximation
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Cauchy theory and the continua of Cosserat: New points of view (English)
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In usual theories of Cauchy and Cosserat continua the size of elementary particles does not appear in the basic equations. In the present paper, the author presents a method by which the size of elementary particles can be taken into account. In particular, the author considers the dependence of free energy on a parameter \(h\) which represents the greatest size of elementary particles. Under appropriate conditions of regularity, it is possible to express stresses, displacements and rotations as polynomials in \(h\) with coefficients characterized by successive theories. Thus Cauchy and Cosserat theories can be unified. It is shown that the stress is symmetric only in the first approximation. The author also investigates the problem of boundary conditions.NEWLINENEWLINEFor the entire collection see [Zbl 0956.00046].
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