Modelling of a sandwich plate cross-section with different moduli of the material under cylindrical loads

Igor E. Petrakov

Institute of Computational Modelling SB RAS, Krasnoyarsk, Russian Federation

Abstract: A model of three-layer sandwich plate consisting of two layers of composite material connected by an elastic isotropic layer is considered in the paper. Composite layers with different tensile and compression moduli of elasticity are described as an orthotropic material reinforced with parallel carbon fibres. Constitutive equations of the model are based on the generalized rheological method. The energy functional is constructed with the use of the Lagrange variational method which is minimized using the initial stress method and the finite element method. The results of a series of computational experiments are presented wherein the stress-strain state of a vertical section of a plate under the action of cylindrical load is calculated.

Keywords: composite material, multi-modular theory of elasticity, generalized rheological method, composite plate, finite element method.

UDC: 539.378

Received: 10.08.2024
Received in revised form: 15.09.2024
Accepted: 24.11.2024

Language: English