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

Research paper by L. S. Klabukova

Indexed on: 01 Feb '07Published on: 01 Feb '07Published in: Computational Mathematics and Mathematical Physics



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.