Numerical Investigation of Physically Nonlinear Problem of Sandwich Plate Bending

Abstract

The present work is devoted to the numerical investigation of geometrically linear problem of bending of sandwich plate with transversal-soft core for the physically non-linear case. The generalized statement of the problem consists in finding a saddle point of some functional. The existence and uniqueness theorem solutions are proved. To solve the problem, we use an iterative process previously proposed by the authors, each step of which is reduced to solving a linear problem of the elasticity theory and finding the projection onto convex closed set. A Matlab software package was developed, numerical experiments for the model problems are performed. The results of numerical experiments show the effectiveness of the proposed iterative method.