Department of Applied Science
Course
Syllabus
4355/5355 Elastic Wave
Theory
I. Instructor: Dr. Haydar Al-Shukri
II.
Catalog Description:
Elasticity theory developed as a basic necessity to the theory of seismology. Analysis of stress and infinitesimal strain. Perfect elasticity. Equation of motion in term of displacement. Vibration and waves. Theories of body and surface waves.
III.
Prerequisites: Calculus I, II, III,
Differential Equation
IV.
Course Objectives:
A. To give the graduate student of applied sciences the necessary theoretical background in elasticity and the stress-strain relation.
B.
Introduce
the participants to the basic theory of elastic waves and the derivation of
equation of motion.
C.
Provide
the student with a theoretical background about body waves and surface waves
excitation and propagation in elastic media.
D.
Introduce
the student to the ray theory and energy partition.
V.
Expectation of Students:
A. Enrollees will participate in all class meeting and will complete assigned readings and other preparation to discussions of the subject matter. Graduate students will be required to complete a number of additional class assignments.
B.
Enrollees
will achieve satisfactory grades on a midterm and final exams.
C.
Graduate
students are expected to complete a comprehensive term paper about a relevant
topic approved by the instructor. They
are also expected to perform one-hour presentation regarding their research.
VI.
Course Content:
1.
Analysis
of stress
2.
Infinitesimal
strain
3.
Perfect
elasticity
4.
Equation
of motion
B.
Vibration
and waves
1.
Vibration
of systems with one degree of freedom
2.
Wave
equation
3.
Solution
to the wave equation (Cartesian; spherical; cylindrical)
4.
Solution
in horizontally layered media
C.
Body
elastic waves
1.
Compressional
(P) and Shear waves (S)
2.
Form
of ground motion in an earthquake
D.
Surface
waves
1.
Rayleigh
waves
2.
Love
waves
3.
Surface
waves dispersion
4.
Group
and phase velocity
E.
Midterm
Examination.
F.
Reflection
and refraction of plane waves
1.
Solution
for the case of two media
2.
Energy
balance equation
3.
Computation
of dispersion curves in multi-layered media
G. Ray theory
1.
Wavefronts
and Eikonal equation
2.
Properties
and equation of ray
3.
Travel-time
and horizontal range
4.
Spherically
stratified model
H.
Final
examination or oral presentation of term paper.
VII.
Basis for student
evaluation:
1. Midterm
Examination 25%
2. Assignments 25%
3. Term
paper and presentation 25%
4. Final
Examination 25%
B.
Undergraduate
Students:
2. Assignments 33%
3. Final examination 34%