基于双材料基本解的功能分级材料热力学建模

IF 5.7 1区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY International Journal of Engineering Science Pub Date : 2024-02-20 DOI:10.1016/j.ijengsci.2024.104040
Chunlin Wu , Liangliang Zhang , George J. Weng , Huiming Yin
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引用次数: 0

摘要

格林函数技术被用于直接计算热机械加载下功能分级材料(FGM)的局部场,从而预测其有效材料特性。对于颗粒相和基体相连续切换的双相 FGM,颗粒尺寸和材料级配在其有效材料行为中起着复杂的作用。利用 Eshelby 的等效包含法,粒子由有界双层域中的特征场源模拟,而边界效应则由基本解的边界积分评估。利用格林函数的体积积分,超过 10,000 个粒子分别用于模拟热负荷和机械负荷下的 FGM。采用二元等效包含法求解与温度加载耦合的温度场和应力场。评估了不同加载条件下梯度方向上的平均热机械场分布。有效刚度、热膨胀系数和热导率随加载条件、粒度和材料级配的变化而显著改变。均质化方法将烟气脱硫材料近似为热弹性特性仅取决于体积分数的连续分级材料,无法捕捉烟气脱硫材料的这些微观力学特征,而本跨尺度方法采用基于包容的边界元方法 (iBEM) 直接评估局部场,并高保真、高效地预测有效的材料行为。
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Thermomechanical modeling of functionally graded materials based on bimaterial fundamental solutions

The Green’s function technique has been used to directly calculate the local fields of a functionally graded material (FGM) under thermomechanical loading, thus predicting its effective material properties. For a bi-phase FGM continuously switching the particle and matrix phases, the particle size and material gradation play a complex role in its effective material behavior. Using Eshelby’s equivalent inclusion method, particles are simulated by a source of eigen-fields in a bounded bi-layered domain, while the boundary effects are evaluated by the boundary integrals of the fundamental solutions. Using the volume integral of Green’s functions, over 10,000 particles are used to simulate an FGM under thermal and mechanical loading, respectively. The dual equivalent inclusion method is used to solve for the temperature and stress fields coupled with temperature loading. The averaged thermomechanical field distribution in the gradation direction is evaluated under different loading conditions. The effective stiffness, thermal expansion coefficient, and heat conductivity significantly change with the loading condition, particle size, and material gradation. The homogenization methods, which approximate an FGM as a continuously graded material with thermoelastic properties depending on the volume fraction only, cannot capture these micromechanical features of FGMs, while the present cross-scale approach with the inclusion-based boundary element method (iBEM) directly evaluates local fields and predicts effective material behaviors with high fidelity and efficiency.

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来源期刊
International Journal of Engineering Science
International Journal of Engineering Science 工程技术-工程:综合
CiteScore
11.80
自引率
16.70%
发文量
86
审稿时长
45 days
期刊介绍: The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.
期刊最新文献
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