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Modeling the postbuckling behavior of thermal-resistant ultrathin films attached to glass substrate

机译：模拟附着在玻璃基板上的耐热超薄膜的屈曲后行为

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This paper investigates the postbuckling behavior of a novel glass-protection film system under thermal environment using the element-free kp-Ritz method. The governing formulation is derived based on the first-order shear deformation plate theory considering small strains and the nonlocal elasticity theory which takes small scale effect into account. The modified Newton-Raphson method incorporated with the arc-length continuation technique is used to trace the nonlinear response of the film-foundation system. The influences of boundary conditions, nonlocal parameters, geometry and elastic foundation on the nonlinear response of glass-protection film are examined. The results show that adhesion force between graphene sheets (GSs) film and the elastic substrate can significantly enhance thermal buckling resistance of GSs film. It is also concluded that van der Waals forces between GSs film lead to consistent post-buckling behavior of individual GSs. Present study can provide suggestions on firefighting design, such as setting alarm temperature based on transition temperature.
机译：本文采用无元素kp-Ritz方法研究了新型玻璃保护膜系统在热环境下的后屈曲行为。基于考虑小应变的一阶剪切变形板理论和考虑小尺度效应的非局部弹性理论推导了控制公式。结合弧长连续技术的改进牛顿-拉夫森方法被用来追踪胶片基础系统的非线性响应。研究了边界条件，非局部参数，几何形状和弹性基础对玻璃保护膜非线性响应的影响。结果表明，石墨烯片（GSs）薄膜与弹性基底之间的粘附力可以显着增强GSs薄膜的抗热屈曲性。还得出结论，GS薄膜之间的范德华力导致单个GS一致的屈曲后行为。本研究可以为消防设计提供建议，例如根据转变温度设置警报温度。

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