SD2185 Ultrasonics 6.0 credits


Please note

This course has been cancelled.

The course covers the theoretical background and some practical aspects of basic phenomena and techniques involving ultrasonic waves.

  • Education cycle

    Second cycle
  • Main field of study

  • Grading scale

    A, B, C, D, E, FX, F

Last planned examination: spring 20.

At present this course is not scheduled to be offered.

Intended learning outcomes

After the course the students should be able to:

  • Derive the wave equation and find its plane wave solutions in infinite, anisotropic solids, isotropic semi-spaces, a planar wave guides.
  • Formulate the boundary conditions associated with interfaces between solid-vacuum, solid-liquid, and solid-solid. Solve the related problem.
  • Use, at least qualitatively, the main concepts of scattering theory to describe the interaction between waves and defects.
  • Select the wave mode which is most appropriate for a given type of inspection. Select the appropriate transducer and experimental set-up to generate the mode.
  • Inspect solid materials and provide a qualitative interpretation of the inspection results

Course main content

Elements of elasticity: strain and stress tensors, work, internal energy, generalized Hooke’s law. Propagation of bulk waves in isotropic and anisotropic solids: Christoffel equation, slowness surface; energy conservation and Poynting vector; group velocity. Rayleigh and Lamb waves: general properties of these modes and of their dispersion relations. Interaction of ultrasonic waves with perfect and damaged interfaces: boundary conditions; reflection and transmission. Radiation and Scattering: introduction to Green’s functions, radiation by a piston, Lommel integral, elements of scattering theory. Introduction to Nondestructive Evaluation (NDE): examples of material characterization by mean of ultrasonic waves.


Basic courses in mathematics, mechanics and noise control.


Ultrasonic Waves – Fundamentals and Applications’, J. David & N. Cheeke, CRC, Series in Pure and Applied Physics, CRC Press

Class notes


  • INL1 - Assignments, 3.0, grading scale: P, F
  • TEN1 - Examination, 3.0, grading scale: A, B, C, D, E, FX, F

Requirements for final grade

Oral examination (TEN1; 3 university credits), Assignments (INL1; 3 university credits).

Offered by

SCI/Aeronautical and Vehicle Engineering


Leif Kari <>

Supplementary information

Not given 08/09.

Add-on studies

SD2145 Vibro-Acoustics
SD2130 Signal Analysis
SD2165 Acoustical Measurements
SD2150 Experimental Structure Dynamics
SD2155 Flow Acoustics
SD2160 Sound and Vibration, Project course
SD2170 Energy Methods
SD2175 Numerical Methods for Acoustics and Vibration
SD2180 Non-Linear Acoustics
SD2190 Vehicle Acoustics and Vibration


Course syllabus valid from: Autumn 2007.
Examination information valid from: Autumn 2007.