相间特性的随机分布对 CNT 压电纳米复合材料整体机电性能的影响:微机械建模与蒙特卡罗模拟

IF 3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Probabilistic Engineering Mechanics Pub Date : 2024-01-01 DOI:10.1016/j.probengmech.2023.103577
M.J. Mahmoodi, M. Khamehchi
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引用次数: 0

摘要

通过提出一个全场微机械模型,进行了一项现象学研究,以推测 CNT/聚合物相间对压电聚合物纳米复合材料整体电弹性行为的统计影响。纳米复合材料系统由碳纳米管(CNT)和聚偏二氟乙烯(PVDF)组成。对相间厚度和强度的各种统计分布进行了仔细评估,包括威布尔分布、对数正态分布、正态分布、贝塔分布和均匀分布。将结果与实验数据进行了比较,结果令人满意。研究发现,与相间强度的随机分布相比,相间厚度的统计分布对整体电弹性特性的影响更大。例如,就有效纵向模量而言,厚度的正态分布、Weibull 分布、β 分布和均匀分布的总体变异系数与测得的实验值相比分别为 14%、13%、13.56 和 10%。同时,通过考虑各种随机分布,充分研究了 CNT 含量、纵横比和取向对有效电弹性特性的影响。此外,利用蒙特卡罗模拟,评估了相间强度和厚度的随机分布下不符合设计规范的概率(失效概率),以确定整体性能值最大的最佳 CNT 含量。结果表明,在厚度分布中,碳纳米管体积分数为 5%-8%,而在强度分布中,碳纳米管体积分数仅为 5 VF%时,失效概率是不同的。对于其他 CNT 含量值,失效概率与相间强度和厚度的分布无关。
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Random distribution of interphase characteristics on the overall electro-mechanical properties of CNT piezo nanocomposite: Micromechanical modeling and Monte Carlo simulation

A phenomenological study is carried out to speculate the statistical impacts of the CNT/polymer interphase on the overall electro-elastic behavior of piezo-polymer nanocomposites by presenting a full-field micromechanical model. The nanocomposite system consists of carbon nanotube (CNT) and PVDF. Various statistical distributions, including Weibull, log-normal, normal, beta, and uniform distributions on the thickness and strength of the interphase are carefully assessed. The results are compared with experimental data, and satisfactory agreements are reported. It is found that, compared to the random distribution of the interphase strength, the statistical distribution of the interphase thickness has more effect on the overall electro-elastic properties. For example, for the effective longitudinal modulus, the overall coefficients of variation are 14 %, 13 %, 13.56, and 10 %, respectively, for the normal, Weibull, beta, and uniform distributions of the thickness compared with the measured experimental values. Also, the effects of the CNT content, aspect ratio, and orientation on the effective electro-elastic properties by considering the various random distributions are fully examined. Moreover, using the Monte Carlo simulation, the probability of not meeting design specification (failure probability) is evaluated at the random distributions of the interphase strength and thickness to identify the optimum CNT content for which the values of the overall properties are maximum. It is obtained that the failure probabilities are different for 5–8 % CNT volume fraction in the distributions of the thickness, and for only 5 VF% CNT in the strength distributions. For other values of the CNT content, the failure probabilities are independent of the distribution of the interphase strength and thickness.

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来源期刊
Probabilistic Engineering Mechanics
Probabilistic Engineering Mechanics 工程技术-工程:机械
CiteScore
3.80
自引率
15.40%
发文量
98
审稿时长
13.5 months
期刊介绍: This journal provides a forum for scholarly work dealing primarily with probabilistic and statistical approaches to contemporary solid/structural and fluid mechanics problems encountered in diverse technical disciplines such as aerospace, civil, marine, mechanical, and nuclear engineering. The journal aims to maintain a healthy balance between general solution techniques and problem-specific results, encouraging a fruitful exchange of ideas among disparate engineering specialities.
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