RAMIFICATION OF EQUILIBRIA OF A COMPRESSED ELASTIC ORTHOTROPIC PLATE WITH INTERNAL STRESSES

The problem of loss stability and post-critical behavior a compressed orthotropic rectangular plate on nonlinearly elastic base containing continuously distributed fields dislocations disclinations under the influence small normal load is considered. compressive force components are evenly along edges act parallel to main directions elasticity. formulated as an analogue system nonlinear Karman equations for function called incompatibility measure, which expressed in terms densities edge wedge disclinations. takes into account transverse pressure reaction form polynomial third degree deflection. following boundary conditions considered: freely pinched or movably pivotally supported; two opposite supported, other free from loads. stress sought components: caused by presence internal sources, determined linear value problem, external impact loads base, problem. investigated Lyapunov – Schmidt method. To solve linearized equation critical determined, variational method used combination with difference A branching constructed, numerical methods. asymptotic formulas new equilibria vicinity derived. For various values loads, orthotropy parameters intensity parameter stresses, relations between established, at its bearing capacity preserved classical load.