Mathematical Simulation of the Problem of the Pre-Critical Sandwich Plate Bending in Geometrically Nonlinear One Dimensional Formulation

Winter School on Continuous Media Mechanics

Badriev, I.B.^1 ; Banderov, V.V.^1 ; Makarov, M.V.^1,2

Kazan Federal University, 18 Kremlyovskaya Street, Kazan

420008, Russia^1

Kazan National Research Technical University, 10 Karl Marx Street, Kazan

420111, Russia^2

关键词: Equilibrium positions;    Geometrically nonlinear;    Geometrically nonlinear problem;    Iterative process;    Mathematical simulations;    Numerical experiments;    Numerical implementation;    Transversely soft cores;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/208/1/012002/pdf
DOI  :  10.1088/1757-899X/208/1/012002

来源: IOP

【 摘 要 】

In this paper we consider the geometrically nonlinear problem of determining the equilibrium position of a sandwich plate consisting of two external carrier layers and located between transversely soft core, connected with carrier layer by means of adhesive joint. We investigate the generalized statement of the problem. For its numerical implementation we offer a two-layer iterative process and investigate the convergence of the method. Numerical experiments are carried out for the model problem.