Geodesic
Variational statement of deformation problems for a composite latticed plate with various types of lattices
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 2, pp. 321-337

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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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     author = {L. S. Klabukova},
     title = {Variational statement of deformation problems for a~composite latticed plate with various types of lattices},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {321--337},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_2_a13/}
}
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L. S. Klabukova. Variational statement of deformation problems for a composite latticed plate with various types of lattices. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 2, pp. 321-337. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_2_a13/