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A homogenization function method for inverse heat source problems in 3D functionally graded materials

机译:三维功能分级材料中逆热源问题的均质函数方法

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摘要

A simple and effective method is proposed for solving inverse heat source problems in functionally graded materials based on the homogenization function. Making use of given conditions, a homogenization function for the boundary value problem is conceived and a family of homogenization functions is further derived. Then, the superposition of homogenization functions method is developed and used for determining the heat source of the inverse problems. In this new methodology, the inverse heat source problems are directly solved by calculating a linear matrix system. Importantly, this scheme does not involve mesh generation, numerical integration, iteration, regularization and fundamental solutions, and it is easy to program and implement on the existing software. Four numerical examples defined on the cuboid domains are presented to demonstrate the accuracy and efficiency of the presented tool.
机译:提出了一种简单且有效的方法,用于基于均质化功能来求解功能渐变材料中的逆热源问题。利用给定的条件,构思了边界值问题的均质函数,进一步推导出一个均质化功能。然后,开发均质化函数方法的叠加并用于确定逆问题的热源。在这种新方法中,通过计算线性矩阵系统直接解决反热源问题。重要的是,该方案不涉及网格生成,数值集成,迭代,正则化和基本解决方案,并且很容易在现有软件上编程和实现。提出了在长方体域上定义的四个数值例子以展示所提出的工具的准确性和效率。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2021年第3期|923-933|共11页
  • 作者单位

    International Center for Simulation Software in Engineering and Sciences College of Mechanics and Materials Hohai University Nanjing Jiangsu 210098 China National Engineering Research Center for Intelligent Electrical Vehicle Power System School of Mechanical and Electrical Engineering Qingdao University Qingdao 266071 China;

    International Center for Simulation Software in Engineering and Sciences College of Mechanics and Materials Hohai University Nanjing Jiangsu 210098 China;

    National Engineering Research Center for Intelligent Electrical Vehicle Power System School of Mechanical and Electrical Engineering Qingdao University Qingdao 266071 China;

    College of Engineering and Computer Science Australian National University Canberra ACT 2601 Australia;

    International Center for Simulation Software in Engineering and Sciences College of Mechanics and Materials Hohai University Nanjing Jiangsu 210098 China Center of Excellence for Ocean Engineering Center of Excellence for the Oceans National Taiwan Ocean University Keelung 202-24 Taiwan;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Homogenization function; Superposition method; Inverse heat source problem; Functionally graded materials;

    机译:均质化功能;叠加方法;反热源问题;功能分级材料;

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