Continuum Mechanics

Course Information
TitleΜΗΧΑΝΙΚΗ ΣΥΝΕΧΩΝ ΜΕΣΩΝ / Continuum Mechanics
Code1066
FacultySciences
SchoolMathematics
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CoordinatorEfthymia Meletlidou
CommonNo
StatusActive
Course ID40000313

Programme of Study: Merikīs Foítīsīs (2014-sīmera)

Registered students: 0
OrientationAttendance TypeSemesterYearECTS
KORMOSElective CoursesSpring-5

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

Registered students: 14
OrientationAttendance TypeSemesterYearECTS
CoreElective Courses845
Class Information
Academic Year2025 – 2026
Class PeriodSpring
Faculty Instructors
Weekly Hours3
Total Hours39
Class ID
600276412
Type Of Offer
  • Disciplinary Course
Course Type 2021
Specialization / Direction
Course Type 2016-2020
  • Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
  • Face to face
Digital Course Content
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
  • Greek (Instruction, Examination)
  • English (Instruction, Examination)
Prerequisites
General Prerequisites
Linear algebra, differential and integral calculus of one and many variables and differential equations.
Learning Outcomes
After the sucessful completion of the course the student will be able to: -discribe a covariant or a contavariant vector or a tensor or the metric tensor. -analyse what a continuous medium is whether it is in solid state or it a fluid (liquid or gas). -describe the motion of a contnuous medium, the velocity field and the notion of the trajectory of a particle. -solve excercises with the deformation tensor. -describe the stess tensor and the shear stress. -describe the continuity equation and the equations of Euler for the motion of the continuous medium.
General Competences
  • Apply knowledge in practice
  • 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, deformation tensor, stress tensor, continuity equation, Euler equations
Educational Material Types
  • Multimedia
  • Book
Use of Information and Communication Technologies
Use of ICT
  • Use of ICT in Communication with Students
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures117
Reading Assigment30
Exams3
Total150
Student Assessment
Description
Alternativelly two exams one in the middle and one in the end of the semester, one of each counts 50% of the final grade. In the first exam the students take exams in the first half of the exam material, while in the second in the second half. These examinations are excercises on the exam material. The students that want to take exams and do not take the previous exams will take the final exams on the whole of the exam material. These examinations are excercises on the exam material.
Student Assessment methods
  • 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
21-07-2025