Wave propagation in felt-like viscoelastic media
The aim of this project is to investigate the properties of strain wave propagation through natural and synthetic felts. The proposed study is mostly related to mathematical modelling and numerical experiments.
Prof. Dr. Andrus Salupere|
Dr. Dmitri Kartofelev
|Availability:||This position is available.|
School of Science
Department of Cybernetics
|Application deadline:||Applications are accepted between September 01, 2021 00:00 and September 30, 2021 23:59 (Europe/Zurich)|
Felt is a truly unique material that is used for a wide variety of applications: vibration isolation, sound absorption, noise control and reduction, etc. Felt is a non-woven fabric that is produced by matting, condensing and pressing natural or synthetic fibres. Felts are highly dissipative and dispersive materials which properties are directly related to their internal structures and fibres that comprise them. Deformation wave propagation through such tight fibre mass is a complex multifaceted phenomenon. The shape of a diffused and rapidly dissipating initial wave is determined by several simultaneous effects: elastic or viscoelastic stretching of fibres; elastic collision of fibres; porosity; viscous friction effects induced by natural waxes and relative motion of fibres in the case of wool felts; etc. The study of porous viscoelastic materials is a new emerging field of study with many open questions ripe for exploration. Example research questions tackled during the projects are: Can previously discovered spectral bandgaps in porous materials be reproduced in felts made of different natural, synthetic or mixed fibres? How can the bandgap regions of felt-type media be widened or narrowed? How to apply this knowledge to the design of noise-cancelling materials?
It is expected that the results of this project will have a significant scientific impact and will be important to other research fields, e.g., civil engineering, musical acoustics, noise control and material science.
The project is financed by a grant from the Estonian Research Council.
Responsibilities and tasks of the PhD student:
- Participation in development of models and performing numerical experiments
- Publishing obtained results and presenting them at scientific conferences
- Participation in lab activities (lab seminars, science popularisation, etc)
- Teaching undergraduate students
Applicants should fulfil the following requirements:
- MSc degree in applied mechanics, physics, applied mathematics, or in a related field
- Knowledge in numerical methods
- Previous experience in programming using high-level object-oriented programming language
- Strong written and oral skills in English
- Highly motivated and proactive individual with excellent communication skills
The following experience is beneficial:
- Knowledge in continuum mechanics
- Latex text preparation system
- Programming in Python and/or Matlab
- Familiarity with following Python modules/packages: numpy, scipy, sympy, matplotlib