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Theory of elasticity

Code: 92925
ECTS: 5.0
Lecturers in charge: prof. dr. sc. Josip Tambača - Lectures
English level:

1,0,0

All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.
Load:

1. komponenta

Lecture typeTotal
Lectures 45
* Load is given in academic hour (1 academic hour = 45 minutes)
Description:
COURSE AIMS AND OBJECTIVES: Introduction to modern theory of elasticity, foundation of the theory and modelling. Derivation of lower dimensional models by asymptotic expansion method. Linearized elasticity, existence results.

COURSE DESCRIPTION AND SYLLABUS:
1. Deformation, strain tensor, motion, examples. Conservation laws, stress tensor, the Cauchy theorem, equation of motion. (4 weeks)
2. Constitutive equations, principles of rheology, elastic body, elasticity tensor, linearized elasticity, existence of solution, examples. (4 weeks)
3. Elactic rods and plates, derivation of models by asymptotic expansion method, existence tesults, examples. (4 weeks)
Literature:
  1. M. E. Gurtin: An Introduction to Continuum Mechanics
  2. I. Aganović: Uvod u rubne zadaće mehanike kontinuuma
  3. P. Germain, P. Muller: Introduction a la mecanique des milieux continus
  4. P. G. Ciarlet: Mathematical Elasticity, Vol. 1, 2, 3
Prerequisit for:
Enrollment :
Passed : Partial differential equations 1
3. semester
Mandatory course - Mandatory studij - Applied Mathematics
Consultations schedule: