Thermal–Structural Linear Static Analysis of Functionally Graded Beams Using Reddy Beam Theory

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematical & Computational Applications Pub Date : 2023-07-23 DOI:10.3390/mca28040084

Carlos Enrique Valencia Murillo, Miguel Gutierrez Rivera, Luis David Celaya Garcia

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引用次数: 0

Abstract

In this work, a finite element model to perform the thermal–structural analysis of beams made of functionally graded material (FGM) is presented. The formulation is based on the third-order shear deformation theory. The constituents of the FGM are considered to vary only in the thickness direction, and the effective material properties are evaluated by means of the rule of mixtures. The volume distribution of the top constituent is modeled using the power law form. A comparison of the present finite element model with the numerical results available in the literature reveals that they are in good agreement. In addition, a routine to study functionally graded plane models in a commercial finite element code is used to verify the performance of the proposed model. In the present work, displacements for different values of the power law exponent and surface temperatures are presented. Furthermore, the normal stress variation along the thickness is shown for several power law exponents of functionally graded beams subjected to thermal and mechanical loads.

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用Reddy梁理论分析功能梯度梁的热结构线性静力

在这项工作中，提出了一个有限元模型，用于对功能梯度材料（FGM）制成的梁进行热结构分析。该公式基于三阶剪切变形理论。FGM的成分被认为仅在厚度方向上变化，并且通过混合物规则来评估有效材料性能。采用幂律形式对顶部成分的体积分布进行了建模。将现有的有限元模型与文献中的数值结果进行比较表明，它们是一致的。此外，还使用商业有限元代码中的功能梯度平面模型的例程来验证所提出的模型的性能。在本工作中，给出了不同幂律指数值和表面温度的位移。此外，还显示了功能梯度梁在热载荷和机械载荷作用下的几个幂律指数沿厚度的法向应力变化。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical & Computational Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

自引率

10.50%

发文量

审稿时长

12 weeks

期刊介绍： Mathematical and Computational Applications (MCA) is devoted to original research in the field of engineering, natural sciences or social sciences where mathematical and/or computational techniques are necessary for solving specific problems. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering (electrical, mechanical, civil, industrial, aeronautical, nuclear etc.), natural sciences (physics, mathematics, chemistry, biology etc.) or social sciences (administrative sciences, economics, political sciences etc.). The papers may be theoretical where mathematics is used in a nontrivial way or computational or combination of both. Each paper submitted will be reviewed and only papers of highest quality that contain original ideas and research will be published. Papers containing only experimental techniques and abstract mathematics without any sign of application are discouraged.