Khorasani Mohammad, Lampani Luca, Dimitri Rossana, Tornabene Francesco
Department of Basic and Applied Sciences for Engineering, Sapienza University, 00185 Rome, Italy.
Department of Mechanical and Aerospace Engineering, Sapienza University, 00184 Rome, Italy.
Molecules. 2021 Oct 30;26(21):6594. doi: 10.3390/molecules26216594.
Due to the widespread use of sandwich structures in many industries and the importance of understanding their mechanical behavior, this paper studies the thermomechanical buckling behavior of sandwich beams with a functionally graded material (FGM) middle layer and two composite external layers. Both composite skins are made of Poly(methyl methacrylate) (PMMA) reinforced by carbon-nano-tubes (CNTs). The properties of the FGM core are predicted through an exponential-law and power-law theory (E&P), whereas an Eshelby-Mori-Tanaka (EMT) formulation is applied to capture the mechanical properties of the external layers. Moreover, different high-order displacement fields are combined with a virtual displacement approach to derive the governing equations of the problem, here solved analytically based on a Navier-type approximation. A parametric study is performed to check for the impact of different core materials and CNT concentrations inside the PMMA on the overall response of beams resting on a Pasternak substrate and subjected to a hygrothermal loading. This means that the sensitivity analysis accounts for different displacement fields, hygrothermal environments, and FGM theories, as a novel aspect of the present work. Our results could be replicated in a computational sense, and could be useful for design purposes in aerospace industries to increase the tolerance of target productions, such as aircraft bodies.
由于夹层结构在许多行业中广泛应用,且了解其力学行为至关重要,本文研究了具有功能梯度材料(FGM)中间层和两个复合材料外层的夹层梁的热机械屈曲行为。两个复合材料蒙皮均由碳纳米管(CNT)增强的聚甲基丙烯酸甲酯(PMMA)制成。通过指数定律和幂定律理论(E&P)预测功能梯度材料芯层的性能,而采用埃舍尔比-森-田中(EMT)公式来描述外层的力学性能。此外,将不同的高阶位移场与虚位移方法相结合,推导出该问题的控制方程,并基于纳维型近似进行解析求解。进行了参数研究,以检验不同芯层材料和PMMA内部碳纳米管浓度对置于帕斯特纳克地基上并承受湿热载荷的梁的整体响应的影响。这意味着敏感性分析考虑了不同的位移场、湿热环境和功能梯度材料理论,这是本研究工作的一个新方面。我们的结果在计算意义上可以重复,并且对于航空航天工业中的设计目的可能有用,以提高目标产品(如飞机机身)的耐受性。