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Variational statement of deformation problems for a composite latticed plate with various types of lattices

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Abstract

The variational statement of various boundary value problems for tangential displacements and forces in a latticed plate with an arbitrary piecewise smooth contour is investigated. The lattice consists of several families of bars made of a homogeneous composite material with a matrix of relatively low shear stiffness. The energy method reduces the problem to the variational problem of minimizing the energy functional. The conditions on the plate contour are established under which the functional is minimal and positive definite, which ensures that the problem is well posed.

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References

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

    L. S. Klabukova

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  1. L. S. Klabukova
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Original Russian Text © L.S. Klabukova, 2007, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2007, Vol. 47, No. 2, pp. 321–337.

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Klabukova, L.S. Variational statement of deformation problems for a composite latticed plate with various types of lattices. Comput. Math. and Math. Phys. 47, 311–327 (2007). https://doi.org/10.1134/S0965542507020145

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  • DOI: https://doi.org/10.1134/S0965542507020145

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