Chinese Journal of Mechanical Engineering >

2021 , Vol. 34 >Issue 6: 142 - 142

DOI: https://doi.org/10.1186/s10033-021-00660-6

Original Article

Statistical Analyses of the Strengths of Particulate Reinforced Metal Matrix Composites (PRMMCs) Subjected to Multiple Tensile and Shear Stresses

  • Geng Chen ,
  • Shengzhen Xin ,
  • Lele Zhang ,
  • Christoph Broeckmann
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  • 1 School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing, 100044, China;
    2 National International Science and Technology Cooperation Base on Railway Vehicle Operation of Beijing Jiaotong University, Beijing, 100044, China;
    3 Chair and Institute for Materials Applications in Mechanical Engineering, RWTH Aachen University, Aachen, 52062, Germany

收稿日期: 2020-11-01

  修回日期: 2021-04-12

  网络出版日期: 2022-04-03

基金资助

Supported by the National Natural Science Foundation of China (Grant No. 52075033) and Fundamental Research Funds for the Central Universitiesof China (Grant No. 2020RC202).

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Statistical Analyses of the Strengths of Particulate Reinforced Metal Matrix Composites (PRMMCs) Subjected to Multiple Tensile and Shear Stresses

  • Geng Chen ,
  • Shengzhen Xin ,
  • Lele Zhang ,
  • Christoph Broeckmann
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  • 1 School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing, 100044, China;
    2 National International Science and Technology Cooperation Base on Railway Vehicle Operation of Beijing Jiaotong University, Beijing, 100044, China;
    3 Chair and Institute for Materials Applications in Mechanical Engineering, RWTH Aachen University, Aachen, 52062, Germany

Received date: 2020-11-01

  Revised date: 2021-04-12

  Online published: 2022-04-03

Supported by

Supported by the National Natural Science Foundation of China (Grant No. 52075033) and Fundamental Research Funds for the Central Universitiesof China (Grant No. 2020RC202).

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摘要

For design and application of particulate reinforced metal matrix composites (PRMMCs), it is essential to predict the material strengths and understand how do they relate to constituents and microstructural features. To this end, a computational approach consists of the direct methods, homogenization, and statistical analyses is introduced in our previous studies. Since failure of PRMMC materials are often caused by time-varied combinations of tensile and shear stresses, the established approach is extended in the present work to take into account of these situations. In this paper, ultimate strengths and endurance limits of an exemplary PRMMC material, WC-Co, are predicted under three independently varied tensile and shear stresses. In order to cover the entire load space with least amount of weight factors, a new method for generating optimally distributed weight factors in an n dimensional space is formulated. Employing weight factors determined by this algorithm, direct method calculations were performed on many statistically equivalent representative volume elements (SERVE) samples. Through analyzing statistical characteristics associated with results the study suggests a simplified approach to estimate the material strength under superposed stresses without solving the difficult high dimensional shakedown problem.

关键词： Direct methods (DM); Particulate reinforce metal matrix composites (PRMMCs); Random heterogeneous materials

本文引用格式

Geng Chen , Shengzhen Xin , Lele Zhang , Christoph Broeckmann . Statistical Analyses of the Strengths of Particulate Reinforced Metal Matrix Composites (PRMMCs) Subjected to Multiple Tensile and Shear Stresses[J]. Chinese Journal of Mechanical Engineering, 2021 , 34(6) : 142 -142 . DOI: 10.1186/s10033-021-00660-6

Abstract

For design and application of particulate reinforced metal matrix composites (PRMMCs), it is essential to predict the material strengths and understand how do they relate to constituents and microstructural features. To this end, a computational approach consists of the direct methods, homogenization, and statistical analyses is introduced in our previous studies. Since failure of PRMMC materials are often caused by time-varied combinations of tensile and shear stresses, the established approach is extended in the present work to take into account of these situations. In this paper, ultimate strengths and endurance limits of an exemplary PRMMC material, WC-Co, are predicted under three independently varied tensile and shear stresses. In order to cover the entire load space with least amount of weight factors, a new method for generating optimally distributed weight factors in an n dimensional space is formulated. Employing weight factors determined by this algorithm, direct method calculations were performed on many statistically equivalent representative volume elements (SERVE) samples. Through analyzing statistical characteristics associated with results the study suggests a simplified approach to estimate the material strength under superposed stresses without solving the difficult high dimensional shakedown problem.

Key words： Direct methods (DM); Particulate reinforce metal matrix composites (PRMMCs); Random heterogeneous materials

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