用解析法和有限元法研究梯度材料接触力学中连续和不连续接触情况

IF 2.9 4区 工程技术 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Computers and Concrete Pub Date : 2021-03-01 DOI:10.12989/CAC.2021.27.3.199
Murat Yaylacı, G. Adıyaman, Erdal Öner, A. Birinci
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引用次数: 15

摘要

本文采用解析法和有限元法研究了均布载荷作用下的功能梯度层与均匀半平面之间的连续和不连续接触问题。FG层由非均质材料制成,具有指数变化性质的各向同性应力-应变规律。假设FG层-半平面界面处的接触是无摩擦的,只有法向拉力可以沿着接触区域传递。研究中考虑了FG层的体力。FG层被放置在均匀的半平面上,没有任何键。因此,当外载荷小于某一临界值时,FG层与半平面的接触是连续的。但当外载荷超过临界值时,在有限区域上FG层与半平面之间出现分离,为不连续接触。因此,本研究已经采取了一些步骤。首先,利用弹性理论和傅里叶积分变换技术实现了该问题连续和不连续接触情况下的解析解。然后,在有限元分析的基础上,利用ANSYS软件包对问题进行建模和二维分析。连续接触情况下FG层与均匀半平面初始分离距离和接触应力分布的数值计算结果给出了两种方法在材料不均匀性、分布载荷宽度、剪切模比和载荷系数等无因次量情况下FG层与均匀半平面分离的起始点和结束点以及接触应力分布。将有限元计算结果与解析公式计算结果进行了比较。结果表明,解析式计算结果与有限元计算结果吻合较好。
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Investigation of continuous and discontinuous contact cases in the contact mechanics of graded materials using analytical method and FEM
The aim of this paper was to examine the continuous and discontinuous contact problems between the functionally graded (FG) layer pressed with a uniformly distributed load and homogeneous half plane using an analytical method and FEM. The FG layer is made of non-homogeneous material with an isotropic stress–strain law with exponentially varying properties. It is assumed that the contact at the FG layer-half plane interface is frictionless, and only the normal tractions can be transmitted along the contacted regions. The body force of the FG layer is considered in the study. The FG layer was positioned on the homogeneous half plane without any bonds. Thus, if the external load was smaller than a certain critical value, the contact between the FG layer and half plane would be continuous. However, when the external load exceeded the critical value, there was a separation between the FG layer and half plane on the finite region, as discontinuous contact. Therefore, there have been some steps taken in this study. Firstly, an analytical solution for continuous and discontinuous contact cases of the problem has been realized using the theory of elasticity and Fourier integral transform techniques. Then, the problem modeled and twodimensional analysis was carried out by using ANSYS package program based on FEM. Numerical results for initial separation distance and contact stress distributions between the FG layer and homogeneous half plane for continuous contact case; the start and end points of separation and contact stress distributions between the FG layer and homogeneous half plane for discontinuous contact case were provided for various dimensionless quantities including material inhomogeneity, distributed load width, the shear module ratio and load factor for both methods. The results obtained using FEM were compared with the results found using analytical formulation. It was found that the results obtained from analytical formulation were in perfect agreement with the FEM study.
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来源期刊
Computers and Concrete
Computers and Concrete 工程技术-材料科学:表征与测试
CiteScore
8.60
自引率
7.30%
发文量
0
审稿时长
13.5 months
期刊介绍: Computers and Concrete is An International Journal that focuses on the computer applications in be considered suitable for publication in the journal. The journal covers the topics related to computational mechanics of concrete and modeling of concrete structures including plasticity fracture mechanics creep thermo-mechanics dynamic effects reliability and safety concepts automated design procedures stochastic mechanics performance under extreme conditions.
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