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The Cosserat spectrum in the theory of elasticity and applications

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Publication:4223892
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DOI10.1098/rspa.1998.0177zbMath0915.73014OpenAlexW2022278564MaRDI QIDQ4223892

Xanthippi Markenscoff, Michael Paukshto

Publication date: 20 June 1999

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1998.0177


zbMATH Keywords

Poisson's ratioequilibrium equationshomogeneous Navier equationseries in eigenfunctions


Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)


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Extension theorems for Stokes and Lamé equations for nearly incompressible media and their applications to numerical solution of problems with highly discontinuous coefficients ⋮ On the three-dimensional filon construct for dislocations ⋮ Eigenvalue of a semi-infinite elastic strip ⋮ The Cosserat subspace \(\tilde u^{(-1)}\) for bodies of spherical geometry ⋮ The (−1) Cosserat Eigenfunctions for Spherical Geometry with Application to Poroelasticity ⋮ Stress independence of Poisson's ratio and divergence-free body forces



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