The edge effects in layered beams

21st International Scientific Conference on Advanced in Civil Engineering "Construction - The Formation of Living Environment"

土木建筑工程

Andreev, Vladimir^1 ; Turusov, Robert^1 ; Tsybin, Nikita^1

Moscow State University of Civil Engineering, Yaroslavskoe shosse 26, Moscow

129337, Russia^1

关键词: Adhesive interaction;    Anisotropic medium;    Geometric characteristics;    Multi-layer beam;    Nonlinear functions;    Stress strain state;    System of equations;    Tangential stress;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/365/4/042049/pdf
DOI  :  10.1088/1757-899X/365/4/042049

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

The article presents the resolving system of equations for solving the problem of the stress-strain state of multilayer beams. The system of resolving equations allows us to solve a wide range of problems, such as shear, bending, normal separation for any number of layers. In the proposed model the interaction between layers is accomplished by the contact layer. The contact layer is an anisotropic medium which can be considered as a «brush» of short elastic rods. The use of contact layer allows avoiding problems such as the endless shear stresses at the boundary of layers near the beam end. Another feature of the proposed model is the strict satisfaction of boundary conditions. Due to the complexity of resolving system of equations we consider a two-layer beam as an example. In this case it is possible to obtain an analytical solution and to produce its analysis. The edge effects arising in a two-layer beam are considered in detail. The article shows that the distribution of tangential stresses in the zone of the edge effect is a complex nonlinear function. At the moment the adhesive interaction is characterized by a single value - the average strength. This value is the ratio of the breaking load to the bonding area. Since the nature of stress distribution is a nonlinear function, the average strength is not true. The obtained solution makes it possible to establish a relationship between the average and true strength of the adhesive interaction, and to define the parameters of the contact layer based on experimental data. The influence of mechanical and geometric characteristics of the model on stress-strain state of the beam is analyzed.