Non-destructive Interrogation Techniques for Highly Heterogeneous Composite Materials
Abstract
This proposal is concerned with the study of highly heterogeneous composite materials. We propose to develop mathematical models in order to explain certain features such as electric properties by using nondestructive techniques. In order to achieve the proposed objectives we have been working in the following problems: Study of the effective permittivity and reflectivity: Four models for the effective permittivity of composite materials were considered: Efimov, Lorentz, homogenization and a probability measure model. We have analyzed and compared their behaviour on simulated data. Afterwards, the probability measure model was adopted to analyze the effective permittivity of multilayer materials using real data for the permittivity of each material layer. Parameter estimation for characterization of multilayer materials: The estimation of modeling parameters were performed including layer interface locations, thermal diffusion and heat conduction coefficients. The problem of source determination was also addressed, where regularization methods were developed to improve the identification results. An error bound for the estimation was derived and the dependency of the solution on data was studied. Transmission through materials: Radon-like transforms are used in computed tomography to identify different parts of the body when looking for abnormalities. Here we have studied them as a data transmission analysis tool since they could be useful to provide information on the properties of composite materials. The inversions of different transforms of this type were obtained. This is a main topic when studying them, since it is required for the identification of the different parts of the body that is being analyzed.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 17, 2023
- Accession Number
- AD1209571
Entities
People
- Aurora Rubio