Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry (Q1198442)
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scientific article; zbMATH DE number 92880
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry |
scientific article; zbMATH DE number 92880 |
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Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry (English)
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16 January 1993
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The author considers a two-phase transversely isotopic composite made of incompressible elastic materials. Hashin-Shtrikman bounds and trace bounds on the effective shear moduli are presented. The set of laminar composites that achieve the Hashin-Shtrikman bounds are characterized using the theory of classical power moment problem. Another interesting characterization given by the author is that of second order perturbation tensor appearing in the perturbation expansions of the effective elastic tensor of a random composite when only the two-point correlation function is known.
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perturbation series
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Hashin-Shtrikman bounds
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trace bounds
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laminar composites
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second order perturbation tensor
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effective elastic tensor
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random composite
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two-point correlation function
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0.8989593
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