Transverse flexure of a physically nonlinear rectangular grid plate elastically fixed at its contour

The transverse flexure of a rectangular grid plate consisting of two families of physically nonlinear rods is considered. On the basis of the calculation scheme, the hypothesis of a continuum calculation model is adopted. A numerical algorithm based on the elastic-solution method is proposed for the investigation of the initial nonlinear boundary problem. The calculation results for a plate with a rhombic grid formed by H-beam rods with a tension-compression diagram in the form of a cubic binomial are subjected to detailed analysis. The influence of physical nonlinearity of the material, as well as the parameters of the grid and elastic fixing of the contour, on the stress-strain state and the limiting load is shown.Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 18, pp. 49–55, 1987.