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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.

研究目标可概括为：在简化假设、边界和接触条件的情况下，简化石墨烯纳米复合材料的代表性体积单元的二维弹性问题。推导和求解了第一层纵向应力的四阶常微分方程式，并将RVE中的所有应力表示为其一阶和二阶导数的函数。在适当的判据下，将发现并详细讨论界面分层。研究与计算方法本研究将在有限厚度石墨烯/聚合物纳米复合材料代表性体积各向同性弹性单元的二维线性简化模型框架内进行。该结构受拉伸应变(应力)的作用。选择二维简化方法作为分析工具是基于其对单搭接不同问题的众所周知的优势。虽然该方法已经在这一领域得到了批准，但它的进一步发展和推广将伴随着在PMMA基质中嵌入石墨烯薄片的使用，这可以增加所考虑的纳米复合材料的强度和韧性。因此，改变衬底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。这些问题的申请者迄今积累的经验是克服上述计算问题的保证。