The course material is covered in different parts. A set of homework tasks will be given, cf. below. The assignments can be handled individually or in groups of two.
The objective of the course is to give a deeper understanding of the acoustics of different types of materials. In particular, the course will emphasize general phenomenological modelling, including computer-based formulations and procedures, related to dynamical, frequency dependent material behavior, the response and their mathematical models. Models will be studied at different levels of complexity, from simplified analytical up to large discretized models are considered. Models based on wave decompostions, finite element solutions and other numerical approaches are studied.
The student should after completing the course be able to:
- Formulate and understand models for the acoustical behavior of different types of materials, such as compressible and nearly incompressible solids; cellular, porous and fibrous materials with open structure, inhomogenoeus materials and the associated structural scales.
- Work with mathematical and numerical models of elastic, acoustic, anelastic, viscous mechanisms in materials as well as different types of interaction phenomena of importance for the acoustic characteristics. In this part studies of methods for homogenisation as well as phenomenological scaling models used in qualitative descriptions of acoustic effects occurring at different levels of physical scales of relevance.
- Understand the meaning and effects of different types of boundary and coupling conditions in different applications where acoustic materials play an important role.
- Set up and perform simulations and analyse problems where the acoustic material properties are important, using different types of solution techniques, e.g. transfer matrix, finite elements, etc. and using Matlab, Comsol, as well as general commercial software.