hybrid plates, contour, bending, external loads, phase materials, hardening, softening, pre-fracture deformation, conditions for fixing the contour sides (free, pinched, hinged), bearing capacity loads, reference single-layer plate, rational (optimal) designs of hybrid polymetallic plates

For rectangular polymetallic plates made of isotropic materials, a general method has been developed for their nonlinear elastic and plastic deformation up to failure. The method is based on the use of the classical Kirchhoff-Love kinematic hypotheses and the relationship between the physical connection of stresses and strains in phase materials in the form of a deformation theory of plasticity, taking into account the influence of hardening effects. The criterion of maximum allowable deformation is used as a failure criterion. Corresponding transition from the state of hardening to the state of failure. It is believed that the bearing capacity of a hybrid plate is realized if the limiting state is reached simultaneously in all phase materials. Arbitrary conditions for fixing the contour sides of a rectangle (loose, pinched, hinged) in any combination are considered. General equations are obtained, a method for their solution is described in detail using modern modifications of the Bubnov-Galerkin method. A criterion for selecting rational designs of hybrid plates based on the coincidence of loads with a single-layer plate equivalent in bearing capacity is formulated.

Nemirovskii Yuri Vladimirovich, Dr. Sci. Phys. & Math., Professor, Leading Research Worker, S. Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the RAS, Novosibirsk, Russia, Novosibirsk state technical University, Novosibirsk, Russia.