Continuum Mechanics

Course Information
TitleΜΗΧΑΝΙΚΗ ΣΥΝΕΧΩΝ ΜΕΣΩΝ / Continuum Mechanics
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CoordinatorEfthymia Meletlidou
Course ID40000313

Programme of Study: UPS of School of Mathematics (2014-today)

Registered students: 79
OrientationAttendance TypeSemesterYearECTS
CoreElective CoursesSpring-5

Class Information
Academic Year2019 – 2020
Class PeriodSpring
Faculty Instructors
Weekly Hours3
Class ID
Course Type 2016-2020
  • Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
  • Face to face
Digital Course Content
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.
Continuous media
Educational Material Types
  • Book
Use of Information and Communication Technologies
Use of ICT
  • Use of ICT in Communication with Students
Course Organization
Reading Assigment1083.6
Student Assessment
Writen examinations
Student Assessment methods
  • Written Exam with Extended Answer Questions (Formative, Summative)
  • Written Exam with Problem Solving (Formative, Summative)
  • Writen examination
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
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