Improved Modelling of Piezoelectric Composites

在这个项目中，我们将建立和解决简单的宏观模型，捕捉组件的微观弹性变形和电磁效应之间的相互作用。我们将利用小参数（如复合材料的微观结构与宏观长度尺度的比值，或传感器的纵横比），使用均匀化理论和渐近分析来开发控制方程的系统简化。我们的目标是开发足够简单的模型，以允许检查新的配置和验证原型设计概念，而不需要昂贵和费力的原型和测量。我们期望开发一套具有不同复杂度和保真度的模型。在每一种情况下，我们将量化的近似误差，使模型可以使用与信心。这个项目属于EPSRC材料工程-复合材料的研究领域福尔斯

In this project, we will build and solve simple macroscale models that capture the interplay between the microscale elastic deformation of the components and the electromagnetic effects. We will take advantage of small parameters (such as the ratio of microstructural to macroscopic length-scales for composite materials, or the aspect ratio of a sensor) to develop systematic simplifications of the governing equations using homogenization theory and asymptotic analysis. Our goal is to develop models simple enough to allow the examination of novel configurations and to characterise prototype design concepts without the need for expensive and laborious prototyping and measurement. We anticipate developing a suite of models with different levels of complexity and fidelity. In each case, we will quantify the error in the approximations made, so that the models can be used withconfidence.This project falls within the EPSRC Materials engineering - composites research area