Evaluating and modeling the mechanical response and behaviour of high performance composite materials

在当今技术迅速发展的世界中，高性能复合材料的应用是巨大的。因此，申请人对复合材料的评估和建模感兴趣，特别是缺陷和夹杂物几何形状的作用，以了解先进材料的机械响应。当开发或测试由这些新材料构建的新结构时，构建模型（数值或理论）而不是测试实际结构通常更便宜且更方便。因此，后者可以用来预测和分析一个真实的物理系统的力学行为。从模型中获得的信息在开发或应用先进复合材料设计时的新技术时非常有用。在这项研究中，申请人将开发和分析新的物理模型，检查材料缺陷（如裂缝，空隙，夹杂物）和材料类型（如弹性，多孔弹性）的影响。这项工作的结果将是重要的，在提供物理洞察力与广泛的视角，这些影响将对复合材料的整体机械响应。本文还研究了多个任意夹杂对弹性波的散射问题。这对研究弹性和多孔弹性复合材料的波衰减和确定有效常数具有重要意义。此外，其结果对地球物理勘探中的问题也有重要意义。此外，申请人将研究纳米增强复合材料的力学行为的多尺度建模。特别是，有充分的文献证明骨水泥易开裂。然而，将碳纳米管添加到水泥中将极大地改善其机械性能，同时保留其结构能力。这项研究的结果是教育高技能的毕业生，使他们的培训将使他们能够在工业，政府实验室和学术界担任领导职务，从而解决加拿大人才短缺的问题。

In today's rapidly increasing technological world, the application of high performance composite materials is enormous. As a result, the applicant is interested in the evaluation and modeling of composite materials, in particular the role of imperfections and inclusion geometry, in order to understand the mechanical response of advanced materials. When developing or testing new structures built from these novel materials it is often less expensive and more convenient to construct a model (either numerical or theoretical) instead of testing the actual structure. The latter can thus be used to predict and anlyze the mechanical behaviour of a real physical system. The information obtained from the model is extremely useful when developing or applying new techniques when designing with advanced composite materials. In this research, the applicant will develop and analyze new physical models that examine the effects of material imperfections (such as cracks, voids, inclusions) and material type (such as elastic, poroelastic). The results of this work will be significant in providing physical insight with a wide perspective on what implications these effects will have on the overall mechanical response of composite materials. Also of interest will the the investigation of scattering of elastic waves by mutliple arbitrary inclusions. This is extremely significant for studies of wave attenuation and determination of effective constants for elastic and poroelastic composite materials. In addition, the results will be of significant importance to problems in geophysical exploration. Furthermore, the applicant will investigate multiscale modeling of the mechanical behaviour of nano-reinforced composite materials. In particular, it is well documented that bone cement is susceptible to cracking. However, with the addition of carbon nanotubes into the cement will utlimately improve the mechanical properties while retaining its structural capabilities. The outcome of this research is to educate highly skilled graduates such that their training will allow them to take leadership positions in industry, government laboratories and academia thus addressing the concerns of shortages of talented engineers in Canada.