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首页> 外文期刊>International journal of mechanics and materials in design >The effect of negative Poisson's ratio on the low-velocity impact response of an auxetic nanocomposite laminate beam
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The effect of negative Poisson's ratio on the low-velocity impact response of an auxetic nanocomposite laminate beam

机译：负泊松比率对辅助纳米复合材料层压梁的低速冲击响应的影响

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摘要

In this paper, an investigation on the low-velocity impact (LVI) response of a shear deformable beam laminated by carbon nanotube reinforced composite (CNTRC) layers is performed. The composite beam is "auxetic" due to the negative out-of-plane Poisson's ratio (NPR) through special symmetric stacking sequences of layers that are designed based on the Classical Laminate Theory. To study the effect of the out-of-plane NPR on the LVI response of the composite beam, a newly defined Hertz model is developed. The motion equations of Karman type for the CNTRC laminate beam are derived in the framework of the Reddy beam theory and solved by means of a two-step perturbation approach while the dynamic equation of the impactor is built on Newton's Law. Since temperature-dependent material properties of both carbon nanotube (CNT) and matrix are employed, the thermal influence on the LVI behavior is also investigated. Moreover, a piece-wise method is employed herein to investigate the effect of functionally graded (FG) patterns of the CNT reinforcements on the impact response. Numerical results elucidating the effects of temperature, FG distribution, and CNT volume fraction on the out-of-plane Poisson's ratio and impact response of the beam are obtained by using a Range-Kutta method and discussed in details.
机译：本文进行了对由碳纳米管增强复合物（CNTRC）层层压的剪切可变形光束的低速撞击（LVI）响应的研究。由于通过基于经典层压理论设计的层的特殊对称堆叠序列，复合梁是“辅助”。为了研究平面外NPR对复合梁的LVI响应的影响，开发了一种新定义的赫兹模型。用于CNTRC层压束的KARMAN类型的运动方程在Reddy光束理论的框架中导出，并通过两步扰动方法解决，而影响因素的动态方程是基于牛顿的法律。由于采用碳纳米管（CNT）和基质的温度依赖性材料性质，因此还研究了对LVI行为的热影响。此外，本文采用了一种分型方法来研究CNT增强件对冲击响应的功能梯度（FG）图案的影响。通过使用范围-Kutta方法获得阐明温度，FG分布和CNT体积分数对梁外泊松比和冲击响应的数值结果是通过使用范围 - 库特拉方法获得的，并详细讨论。

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