ANALYTICAL AND NUMERICAL SIMULATION FOR THE FORCE OF ADHESION OF REINFORCING ROD WITH CONCRETE

Zbirnik naukovikh prats'' Derzhavnogo universitetu infrastrukturi ta tekhnologii seriia Transportni sistemi i tekhnologiyi Pub Date : 2022-12-28 DOI:10.32703/2617-9040-2022-40-16

V. Kovalchuk

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Abstract

The purpose of this article is to build a mathematical model for calculating the stress-strain state of structural elements of the road pavement. The model is based on the universal function parameter - the force of adhesion of the reinforcing rod to the concrete along their surface contact. It is proposed to define the specified adhesion force as the solution to the simulated boundary value problem. It is shown that it is expedient to use hyperbolic functions to solve such a problem. For the adhesion force, an analytical dependence is obtained, which is a nonlinear function. The proposed model of analysis of the stress-strain state of the reinforcement in comparison with other models is relatively simple. The results of modeling using Maple for the analytical dependence of the adhesion force on the length of the reinforcing rod are shown. It is established that the empirical parameter of the system significantly affects the distribution function of normal stresses. The developed theory will allow design engineers to solve the problem of optimizing pavement structures.

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钢筋与混凝土粘结力的分析与数值模拟

本文的目的是建立一个计算道路路面结构单元应力-应变状态的数学模型。该模型是基于通用函数参数-钢筋与混凝土沿其表面接触的附着力。提出将指定附着力定义为模拟边值问题的解。结果表明，用双曲函数求解这类问题是比较方便的。对于黏附力，得到了一种解析依赖关系，它是一个非线性函数。与其他模型相比，本文提出的钢筋应力-应变状态分析模型相对简单。使用Maple模型分析附着力对加强棒长度的依赖性的结果显示。结果表明，系统的经验参数对正应力的分布函数有显著影响。发展的理论将使设计工程师能够解决优化路面结构的问题。

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Zbirnik naukovikh prats'' Derzhavnogo universitetu infrastrukturi ta tekhnologii seriia Transportni sistemi i tekhnologiyi

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27 weeks