Mathematical modelling of stresses in graphene polymer nanocomposites under static extension load
Mathematical modelling of stresses in graphene polymer nanocomposites under static extension load
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DOI：
10.1109/nmdc47361.2019.9084003
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发表时间：
2019-10
期刊：
影响因子：
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通讯作者：
E. Kirilova;T. Petrova;W. Becker;J. Ivanova
中科院分区：
文献类型：
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作者：
E. Kirilova;T. Petrova;W. Becker;J. Ivanova
本文提出了一种二维简化应力函数方法，描述了单层石墨烯/聚合物纳米复合材料在静态拉伸载荷作用下的界面应力传递。在Hashin， 1985和Kumar&Tampi， 2016中，应用二维应力函数法，结合互补应变能泛函最小化和开发2个甚至4个未知函数的控制ODE，来获得粘接搭接或层合板中的二维应力。利用变分方法得到了纳米复合材料结构第一层石墨烯轴向（纵向）应力的四阶常系数控制微分方程。其解析解主要取决于结构的几何形状、所用材料的性能和拉伸载荷。提出了沿结构重叠区预测界面脱粘长度的合理准则。以单层石墨烯/SU-8/PET结构为例，分析结果用图表说明。分析了静载荷和几何形状对所考虑结构的应力和脱粘长度的影响。
In this study a two-dimensional simplified stress function method describing the interfacial stress transfer in adhesively-bonded monolayered graphene/polymer nanocomposite subjected to static extension load is presented. The application of 2D stress function method, combined with minimization of complementary strain energy functional and developing of governing ODE for 2 or even 4 unknown functions, to obtain 2D stresses in adhesively bonded lap joints or laminates can be seen in Hashin, 1985 and Kumar&Tampi, 2016. The governing forth order ordinary differential equation with constant coefficients for the axial (longitudinal) stress in the first graphene layer of nanocomposite structure is obtained using a variational method. Its analytical solution depends mainly on the geometry of the structure, the properties of used materials and tensile loading. A proper criterion for prediction of the interface debond length along the overlap zone of the structure is applied. The analytical results for a case of monolayered graphene/SU-8/PET structure are illustrated in figures and tables. The influence of the static load and the geometry on the stresses and debond length in the considered structure is analyzed.