Abstract Bending analysis of laminated carbon nanotube (CNT) piezo-nanocomposite moderately thick rectangular plates is presented by a multi-scale approach. Firstly, a unit cell based micromechanical model is developed to obtain the electro-thermo-mechanical behavior of material to transfer to the structure scale. The nanocomposite representative volume element consists of three phases, including CNT, piezoelectric Polyvinylidene Fluoride (PVDF) matrix and an interphase representing the CNT/PVDF van-der Waals interaction. The matrix is also polarized through the plate thickness. The macro-scale analysis of plate is performed based on the first order shear deformation theory via implementing the finite element method. Good agreements are reported for the presented results compared with the available results in literature and other modeling strategies at both the micro and macro levels. Also, the results of the mesh sensitivity analysis at both the micro and macro scales guarantee the model accuracy and low-computational cost. The effects of the nano-scale parameters, including the CNT content, aspect ratio, packing and the interphase characteristics are examined on the response of smart plates with different dimensions, supports and loadings. The results reveal that the effects of the CNT aspect ratio and the interphase thickness on the plate response are more pronounced at high values of the plate width-to-thickness ratio.

中文翻译：

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含碳纳米管的层压智能纳米复合材料的电热机械响应-多尺度建模

摘要 通过多尺度方法提出了层压碳纳米管 (CNT) 压电纳米复合材料中厚矩形板的弯曲分析。首先，开发了一种基于晶胞的微机械模型，以获得材料的电热机械行为以转移到结构尺度。纳米复合材料的代表性体积元素由三相组成，包括碳纳米管、压电聚偏二氟乙烯 (PVDF) 基体和代表碳纳米管/PVDF 范德华相互作用的中间相。矩阵也通过板厚度极化。通过实施有限元方法，基于一阶剪切变形理论对板材进行宏观分析。与微观和宏观层面的文献和其他建模策略中的可用结果相比，所呈现的结果报告了良好的一致性。同时，微观和宏观尺度的网格敏感性分析结果保证了模型的准确性和低计算成本。研究了纳米级参数（包括 CNT 含量、纵横比、堆积和界面特性）对具有不同尺寸、支撑和负载的智能板响应的影响。结果表明，当板宽厚比值较高时，CNT 纵横比和界面厚度对板响应的影响更为明显。微观和宏观尺度的网格敏感性分析结果保证了模型的准确性和低计算成本。研究了纳米级参数（包括 CNT 含量、纵横比、堆积和界面特性）对具有不同尺寸、支撑和负载的智能板响应的影响。结果表明，当板宽厚比值较高时，CNT 纵横比和界面厚度对板响应的影响更为明显。微观和宏观尺度的网格敏感性分析结果保证了模型的准确性和低计算成本。研究了纳米级参数（包括 CNT 含量、纵横比、堆积和界面特性）对具有不同尺寸、支撑和负载的智能板响应的影响。结果表明，当板宽厚比值较高时，CNT 纵横比和界面厚度对板响应的影响更为明显。