The Cosserat subspace \(\tilde u^{(-1)}\) for bodies of spherical geometry

DOI10.1023/A:1007528824320zbMath0952.74009OpenAlexW2513281176MaRDI QIDQ1976253

Michael Paukshto, Xanthippi Markenscoff, Wensen Liu

Publication date: 9 May 2000

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007528824320

zbMATH Keywords

convergenceeigenfunctionsspherical geometryJacobi polynomialsorthogonal basesfirst boundary value problemLegendre polynomialsspherical rigid inclusionCosserat spectrumelastic sphereCosserat eigenvectorsinfinite elastic spacenonharmonic heat source

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)

Related Items (1)

The (−1) Cosserat Eigenfunctions for Spherical Geometry with Application to Poroelasticity

Cites Work

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• The discrete Cosserat eigenfunctions for a spherical shell
• Application of the Cosserat spectrum theory to viscoelasticity
• THE SPECTRUM OF A FAMILY OF OPERATORS IN THE THEORY OF ELASTICITY
• The Cosserat spectrum in the theory of elasticity and applications

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