Title  ΜΗΧΑΝΙΚΗ ΣΥΝΕΧΩΝ ΜΕΣΩΝ / Continuum Mechanics 
Code  1066 
Faculty  Sciences 
School  Mathematics 
Cycle / Level  1st / Undergraduate 
Teaching Period  Spring 
Coordinator  Efthymia Meletlidou 
Common  No 
Status  Active 
Course ID  40000313 
Programme of Study: UPS of School of Mathematics (2014today)
Registered students: 79
Orientation  Attendance Type  Semester  Year  ECTS 

Core  Elective Courses  Spring    5 
Academic Year  2019 – 2020 
Class Period  Spring 
Faculty Instructors 

Weekly Hours  3 
Class ID  600147672

Type of the Course
 Scientific Area
Course Category
Specific Foundation / Core
Mode of Delivery
 Face to face
Digital Course Content
 eStudy Guide https://qa.auth.gr/en/class/1/600147672
 Other: www.efimeletlidou.com
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
 Greek (Instruction, Examination)
 English (Examination)
Learning Outcomes
1.The student can find a covariant or a contavariant vector or a tensor or the metric tensor.
2. The student knows what a continuous medium is whether it is in solid state or it a fluid (liquid or gas).
3. The student learns the motion of a contnuous medium, the velocity field and the notion of the trajectory of a particle.
4. The student learns the deformation tensor.
5. The student learns the stess tensor and the shear stress.
6. The student learns the continuity equation anthe equations of Euler for the motion of the continuous medium.
General Competences
 Apply knowledge in practice
 Make decisions
 Work autonomously
 Advance free, creative and causative thinking
Course Content (Syllabus)
Curvilinear coordinate systems. natural and inverse natural basis. Covariant and contravariant vectrors and tensors. Metric tensor. Continuous media. Euler and Lagange variables. Accelaration of a particle. Deformation tensor. Geometric aspect of the deformation tensor. Evaluation of the deformation tensor from the translation vector. Main directions of the deformation tensor. Flow lines and trajectories of particles. Circulation of the velocity. Typical velocity fields and flows.
Continuity equation. The stress vector. The stress tensor. The Euler equations of motion. Balance of the momentum. Balance of the angular momentum. Main elements of the stess tensor. Maximum shear stress. Equilibrium condititions.
Keywords
Continuous media
Educational Material Types
 Book
Use of Information and Communication Technologies
Use of ICT
 Use of ICT in Communication with Students
Description
emails
Course Organization
Activities  Workload  ECTS  Individual  Teamwork  Erasmus 

Lectures  39  1.3  
Reading Assigment  108  3.6  
Exams  3  0.1  
Total  150  5 
Student Assessment
Description
Writen examinations
Student Assessment methods
 Written Exam with Extended Answer Questions (Formative, Summative)
 Written Exam with Problem Solving (Formative, Summative)
 Writen examination
Bibliography
Course Bibliography (Eudoxus)
Ι.Δ.Χατζηδημητρίου, Γ.Δ.Μπόζης Εισαγωγή στη Μηχανική συνεχών Μέσων, εκδόσεις Α.Τζιόλα
Additional bibliography for study
Hunter S.C."Mechanics of continuous Media", Halsted Press
Last Update
16032020