2D analytical method for the interface stress transfer in a graphene monolayer nanocomposite

石墨烯单层纳米复合材料界面应力传递的二维分析方法

基本信息

批准号：
428426608
负责人：
Professor Dr.-Ing. Wilfried Becker
金额：
--
依托单位：
Fachgebiet Strukturmechanik
依托单位国家：
德国
项目类别：
Research Grants
财政年份：
2019
资助国家：
德国
起止时间：
2018-12-31 至 2019-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/428426608?language=en
关键词：
2D analytical method interface stress

项目摘要

The research objectives can be summarized as follows:Reduction of 2D elastic problem for a representative volume element (RVE) of a graphene nanocomposite under simplifying assumptions and boundary and contact conditions. Derivation and solution of 4th order ordinary differential equation about longitudinal stress in the first layer and presentation of all stresses in RVE as functions of its first and second derivatives. Under proper criterion the interface delamination will be found and discussed in detail. Research and computational methodology The proposed research will be done in the frame of a 2D-dimensional linear reduced model for the graphene/polymer nanocomposite representative volume isotropic elastic element with a finite thickness. The structure is loaded by a tensile strain (stress). The choice of the 2D reduced method as an analytical tool is based on its well-known advantages for different problems in single lap joint. Although the method is already approved in this field, its further development and extension will go along with a use of graphene flake embedded in PMMA matrix, which can increase the strength and toughness of considered nanocomposite. Thus, varying the mechanical properties of the substrate as well as the mechanical loading and geometry of the structure, the possible interface delamination may be avoided. The hitherto accumulated experience by the applicants for these kinds of problems is a guarantee for overcoming the computational problems discussed above.

研究目标可以总结如下：在简化的假设，边界和接触条件下，石墨烯纳米复合材料的代表体积元素（RVE）的2D弹性问题的减少。第四阶的衍生和解关于第一层中纵向应力的普通微分方程，以及RVE中所有应力的呈现作为其第一和第二个衍生物的功能。在适当的标准下，将发现并详细讨论界面分层。研究和计算方法论将在石墨烯/聚合物纳米复合材料代表体积的各向同性弹性元件具有有限厚度的2D线性还原模型的框架内进行拟议的研究。该结构由拉伸应变（应力）加载。 2D简化方法作为一种分析工具的选择是基于单圈接头中不同问题的众所周知的优势。尽管该方法已经在该领域得到批准，但它的进一步发展和扩展将与嵌入PMMA基质中的石墨烯薄片一起进行，这可以增加所考虑的纳米复合材料的强度和韧性。因此，可以避免改变底物的机械性能以及结构的机械载荷和几何形状，可以避免可能的界面分层。迄今为止，申请人在这些问题上积累了经验，可以保证克服上面讨论的计算问题。