Application of two-point probability distribution functions to predict properties of heterogeneous two-phase materials

A. Belvin; R. Burrell; A. Gokhale

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Application of two-point probability distribution functions to predict properties of heterogeneous two-phase materials

机译：应用两点概率分布函数预测异相两相材料的性质

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An investigation was conducted in order to determine the viability of using two-point probability distribution functions to predict the material properties of two-phase heterogeneous materials. The material of interest in this investigation was Titanium Diboride/Alumina ceramic (TiB_2+Al_2O_3). In TiB_2+Al_2O_3 ceramics, it has been noted that the connectivity of the TiB_2 second phase plays a major role in the mechanical properties of the TiB_2+Al_2O_3 ceramic, spall strength in particular. Two-point distribution functions were obtained for the four types of microstructures of TiB_2+Al_2O_3 and were compared to experimental results that have been previously reported. The two-point distribution functions showed very good correlation to connectivity and spall strength results.

机译：为了确定使用两点概率分布函数预测两相异质材料的材料性能的可行性，进行了调查。该研究中感兴趣的材料是二硼化钛/氧化铝陶瓷（TiB_2 + Al_2O_3）。在TiB_2 + Al_2O_3陶瓷中，已经注意到TiB_2第二相的连通性在TiB_2 + Al_2O_3陶瓷的机械性能（尤其是剥落强度）中起主要作用。对于TiB_2 + Al_2O_3的四种微观结构，获得了两点分布函数，并将其与先前报道的实验结果进行了比较。两点分布函数显示出与连通性和剥落强度结果的很好的相关性。

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《Materials Characterization》 |2009年第9期|共8页
作者
A. Belvin; R. Burrell; A. Gokhale;
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正文语种 eng
中图分类工程材料学;
关键词
Statistical probability; Distribution functions; Property prediction; Microstructure analysis;

机译：统计概率;分布函数;性能预测;微观结构分析;

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专利

1. Application of two-point probability distribution functions to predict properties of heterogeneous two-phase materials [J] . A. Belvin, R. Burrell, A. Gokhale Materials Characterization . 2009,第9期

机译：应用两点概率分布函数预测异相两相材料的性质
2. Semi-inverse Monte Carlo reconstruction of two-phase heterogeneous material using two-point functions [J] . H. Garmestani, M. Baniassadi, D. S. Li, International Journal of Theoretical and Applied Multiscale Mechanics . 2009,第2期

机译：使用两点函数的两相异质材料的半逆蒙特卡罗重构
3. Higher-order correlation functions in disordered media: Computational algorithms and application to two-phase heterogeneous materials [J] . Hessam Malmir, Muhammad Sahimi, Yang Jiao Physical review, E . 2018,第6aPta2期

机译：无序介质中的高阶相关函数：计算算法和两相异构材料的应用
4. PROBABILITY DENSITY FUNCTIONS FOR RADIONUCLIDE MIGRATION PROPERTIES OF CEMENTITIOUS MATERIALS AND THEIR APPLICATION IN SAFETY ASSESSMENT [C] . Dirk Mallants, Geert Volckaert, Jan Marivoet International Conference on Environmental Remediation and Radioactive Waste Management . 2004

机译：胶凝材料放射性核素迁移性能的概率密度函数及其在安全评估中的应用
5. THE H-FUNCTION AND PROBABILITY DENSITY FUNCTIONS OF CERTAIN ALGEBRAIC COMBINATIONS OF INDEPENDENT RANDOM VARIABLES WITH H-FUNCTION PROBABILITY DISTRIBUTIONS. [D] . COOK, IVY DEWEY, JR. 1981

机译：具有H函数概率分布的独立随机变量的某些代数组合的H函数和概率密度函数。
6. Probability Distributome: A Web Computational Infrastructure for Exploring the Properties Interrelations and Applications of Probability Distributions [O] . Ivo D. Dinov, Kyle Siegrist, Dennis K. Pearl, -1

机译：概率分布图：一种用于探索概率分布的属性相互关系和应用的Web计算基础结构
7. Modeling Heterogeneous Materials via Two-Point Correlation Functions: II. Algorithmic Details and Applications [O] . Jiao, Y., Stillinger, F. H., Torquato, S. 2008

机译：通过两点相关函数建模异质材料： II。算法细节和应用
8. Evaluation of the Three Parameter Weibull Distribution Function for Predicting Fracture Probability in Composite Materials. [R] . schneider,dennis r. 1978

机译：三参数威布尔分布函数预测复合材料断裂概率的评价。

Application of two-point probability distribution functions to predict properties of heterogeneous two-phase materials

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