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Biharmonic potentials and plane isotropic displacement fields

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Publication:1114473
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DOI10.1007/BF01056476zbMath0662.73016OpenAlexW2025121769MaRDI QIDQ1114473

I. P. Mel'nichenko, Vladimir F. Kovalev

Publication date: 1988

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01056476


zbMATH Keywords

small deformationsisotropic elastic bodiesplane displacement field


Mathematics Subject Classification ID

Elastic materials (74B99) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Connections of harmonic functions with differential equations in two dimensions (31A35)


Related Items (4)

Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. I ⋮ Representations of solutions of Lamé system with real coefficients via monogenic functions in the biharmonic algebra ⋮ Monogenic functions in commutative complex algebras of the second rank and the Lamé equilibrium system for some class of plane orthotropy ⋮ Commutative complex algebras of the second rank with unity and some cases of plane orthotropy. II



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