NONCLASSICAL STRESS-STRAIN STATE MODELS IN PROBLEMS OF MECHANICS OF LAYERED BEAMS

摘要

A nonclassical analytical model of stress-strain state of composite beams with the account of the shear deformation is proposed. The beam has the piece-heterogeneous structure along the height. The normal and tangential loads are acted on the top and on the bottom surfaces, and on the surfaces between the layers. The model is decelerated the distribution of the tangential displacement through the thickness as the third degree polynomial. The system of the differential equation is obtained by the variation method and consists two equations. The first equation is the analogy of the equation of the beam classical theory for the normal displacement. The second equation is the analogy of the equation of the beam classical theory for the bending moment are excited the generalize load. The testing problems are given the comparison with three-dimensional solution and the experimental dates and for the supported and clamped beams different composite structure. As the practical engineering problem is given the solution for the many supported static indefinable layered beam.