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Supervised by Ministry of Industry and Information Technology of The People''s Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Related citation:Zhengming Huang,Chunchun Zhang.Review:A Critical Assessment on the Predictability of 14 Micromechanics Models for the Stiffness and Strength of UD Composites[J].Journal of Harbin Institute Of Technology(New Series),2018,25(6):1-21.DOI:10.11916/j.issn.1005-9113.18060.
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Review:A Critical Assessment on the Predictability of 14 Micromechanics Models for the Stiffness and Strength of UD Composites
Zhengming Huang,Chunchun Zhang
(School of Aerospace Engineering &Applied Mechanics, Tongji University, Shanghai 200092, China)
Abstract:
Any micromechanics model initially developed for predicting stiffness (elastic property) of a composite can be used to predict its strength with a reasonable accuracy, as long as the homogenized stresses in the matrix are converted into its true values. A critical assessment on the predictability of 14 famous micromechanics models for stiffness and strength of UD (unidirectional) composites was made in this work against the benchmark data provided in three world-wide failure exercises (WWFEs). Bridging Model exhibited the highest accuracy in both the stiffness and strength predictions. Moreover, it was the only consistent model in the internal stress calculation. Non-consistency implies that a full three-dimensional (3D) approach should be used to predict the effective property of the composite. The paper also showed that the smallest fiber volume in an RVE (representative volume element) led to the best approximation to a composite property.
Key words:  composite  mechanical properties  micromechanics  stress concentration factors  true stress  RVE  consistency
DOI:10.11916/j.issn.1005-9113.18060
Clc Number:0343.4
Fund:
Descriptions in Chinese:
  

综述:14种细观力学模型预报单向复合材料刚度和强度能力的严格评估

黄争鸣,张春春

(同济大学 航空航天与力学学院,上海 200092)

创新点说明:

任何最初为预报复合材料刚度(弹性性能)所建立的细观力学模型,都可用来合理预报复合材料的强度,只需将基体的均值应力转换成真实应力即可。本文以三届世界范围破坏评估的数据为基准,对14种著名细观力学模型预报单向复合材料刚度和强度的能力进行了严格评估。桥联模型预报复合材料刚度和强度的精度都是最高的。此外,它还是唯一满足内应力计算一致性的理论。非一致性意味着复合材料的等效性能应该基于三维分析得到。本文还证实,具有最小纤维体积的代表性单元将导致对复合材料等效性能的最佳近似。

研究目的:

1、评估各种细观力学模型预报复合材料刚度和强度的能力;

2、指出应力计算一致性的意义与作用;

3、说明代表性的体积越小,效果越好。

研究方法和结果:

采用案例分析;完全基于纤维和基体材料的原始性能,14种细观力学模型预报9组复合材料刚度的平均误差最小10.38%,最大30.72%;预报这些复合材料强度的平均误差最小21.1%,最大45.1%。预报刚度的精度排序与预报强度的精度排序大体相同。桥联模型预报刚度和强度的平均误差分别都是最小的。

结论:

只要将基体的均值应力转换成真实应力后,任何细观力学模型就不仅可以预报复合材料的刚度,还可以合理预报复合材料的强度。但是,除了桥联模型,任何其他模型需要应用其三维理论分析复合材料的等效性能,二维理论只能得到近似结果。

关键词:复合材料;力学性能;细观力学;应力集中系数;真实应力;代表性单元;应力计算一致性

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