Modelling and Analysis of Advanced Composite Materials with Significant Microstructure

具有显着微观结构的先进复合材料的建模和分析

• 批准号: RGPIN-2018-04192
• 负责人: Potapenko, Stanislav
• 金额: $ 2.33万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2022
• 资助国家: 加拿大
• 起止时间: 2022-01-01 至 2023-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=748828
• 关键词: Modelling; Analysis; Advanced; Composite; Materials

In recent years fiber reinforced polymer composites (FRPs) and functionally graded materials (FGMs) have revolutionized aerospace, automotive, biomedical, building and bridge construction and sports equipment fields. This can be attributed to the fact that these materials have exceptional mechanical and chemical properties, including light weight, high specific strength, and fatigue and corrosion resistance. Such characteristics lead to important energy and material savings, improvements in the reliability of automobiles, residential structures, pipes, dental implants and therefore contribute to the economic benefits for all Canadians. Today the production and use of FRPs and FGMs constitute a multi-billion dollar industry.However, there exist formidable difficulties in understanding the elastic behavior of FRPs and FGMs which may have a negative effect on the quality of manufacturing and on the prediction of the material behaviour under complex types of loading.Many experimental studies have been performed lately to explain the elastic behaviour of FRPs and FGMs. However, not many attempts have been made to explain the experimental results from the theoretical viewpoint. Theoretical predictions of the elastic behavior of FRPs and FGMs are difficult because these materials possess a microstructure which has a significant effect on the overall properties of the materials. The presence of the microstructure makes it difficult to model the processes occurring in these materials using classical solid mechanics.The objective of this research is to develop a comprehensive model, which would allow us to predict the material behaviour of FRPs and FGMs in the cases when microstructure is significant and to obtain a reliable theoretical basis which can be used in practical design projects to avoid critical mistakes in the process of manufacturing of these materials. To achieve this objective we will be using the latest accomplishments of the theory of Micropolar Elasticity, which has been developed to describe deformations of materials when the microstructure is significant. The physical nature of these materials requires the asymmetric description of deformation which leads to more complicated models than those considered in classical solid mechanics.In the past ten years the applicant has achieved significant progress in modelling the behaviour of materials with significant microstructure. This research is another step towards the goal of developing a universal generalized approach within the foundations of continuum mechanics for the description of the elastic behavior of new advanced materials. The program will employ 4 PhD and 4 M.Sc. students within the next five years. They will study the latest developments of solid mechanics and advanced mathematical modelling and will develop into the leading scientists in the emerging area of high economic importance in Canada.

近年来，纤维增强聚合物复合材料（FRP）和功能梯度材料（FGM）彻底改变了航空航天、汽车、生物医学、建筑和桥梁施工以及运动器材领域。这可以归因于这些材料具有优异的机械和化学性能，包括重量轻、比强度高以及耐疲劳和耐腐蚀。这些特性可以节省大量能源和材料，提高汽车、住宅结构、管道、牙科植入物的可靠性，从而为所有加拿大人带来经济效益。如今，FRP 和 FGM 的生产和使用构成了一个价值数十亿美元的产业。然而，理解 FRP 和 FGM 的弹性行为存在巨大困难，这可能会对制造质量和材料预测产生负面影响最近进行了许多实验研究来解释 FRP 和 FGM 的弹性行为。然而，从理论角度解释实验结果的尝试并不多。 FRP 和 FGM 的弹性行为的理论预测很困难，因为这些材料具有对材料的整体性能有重大影响的微观结构。微观结构的存在使得很难使用经典固体力学对这些材料中发生的过程进行建模。本研究的目的是开发一个综合模型，使我们能够预测 FRP 和 FGM 在以下情况下的材料行为：微观结构具有重要意义，并获得可靠的理论基础，可用于实际设计项目，以避免这些材料制造过程中的严重错误。为了实现这一目标，我们将利用微极弹性理论的最新成果，该理论是为了描述微观结构显着时材料的变形而开发的。这些材料的物理性质需要变形的不对称描述，这导致比经典固体力学中考虑的模型更复杂的模型。 在过去的十年中，申请人在对具有显着微观结构的材料的行为进行建模方面取得了重大进展。这项研究是朝着在连续介质力学的基础上开发一种通用的广义方法来描述新型先进材料的弹性行为的目标迈出的又一步。该项目将聘用 4 名博士和 4 名硕士。未来五年内的学生。他们将研究固体力学和先进数学建模的最新发展，并将发展成为加拿大具有高度经济重要性的新兴领域的领先科学家。