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### Theory of Elasticity with Application in Geophysics

 Code: 195052 ECTS: 8.0 Lecturers in charge: izv. prof. dr. sc. Josip Stipčević Lecturers: izv. prof. dr. sc. Josip Stipčević - Exercises Take exam: Studomat
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### 1. komponenta

Lecture typeTotal
Lectures 30
Exercises 15
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE OBJECTIVES:
Synthesis of equations of motion and Hooke's law in the Lame's equations. Generalization of Lame's equations in the Navier-Stokes equation. Proof and discussion of the Lame's theorem. Kirchhoff's solution to the wave equation demonstrates retarded potentials and action at a distance. Generalized solution is analyzed in four cases, in one ofwhich a Huygens' principle is recognized. Application of Kirchhoff's solution to single force, single-dipole and double-dipole point source models.

COURSE CONTENT:
Lame's equations. Motion and potential. Kirchhoff's solution of the wave equation. Application of the Kirchhoff's solution to different point source models.

LEARNING MODE:
Attending of lectures, study notes and study literature, derivation of the equations, analysis of application examples that follow from the derived equations, synthesis of resulting equations in geophysical phenomena.

TEACHING METHODS:
Lectures, discussion, derivation of the equations, analysis of the equationsand their analytical solutions, independent solving problems in connection with equations.

METHODS OF MONITORING AND VERIFICATION:
Homework, preliminary exam, written and oral exam.

TERMS FOR RECEIVING THE SIGNATURE:
Solved homework, Seminar papers.

EXAMINATION METHODS:
Written and oral exam
Literature:
1. Aki, K., P.G. Richards: Quantitative Seismology, 2nd Ed., University Science Books, Sansalito, California 2002.
Bath, M.: Mathemathical Aspects of Seismology, Elsevier, Amsterdam, 1968.
Prerequisit for:
Enrollment :
Passed : Classical Mechanics 2
 6. semester Mandatory course - Regular study - Geophysics
Consultations schedule: