Mathematical simulation of the bending problem of the hinged sandwich plate in physically nonlinear statement

Abstract

© Published under licence by IOP Publishing Ltd. The work is devoted to numerical investigation of physically nonlinear problem of bending the hinged sandwich plate with transversal soft core. The generalized statement of the problem consists in finding a saddle point of some functional. To solve the problem the iterative process is suggested. Each step of a method is reduced to solving the linear problem elasticity theory and finding the projection onto convex closed set. Software package in Matlab environment is developed. The results of numerical experiments are presented.