Plates Shells – Special issues in Finite Element Analysis

General

• Code: ΔΟΜ020
• Semester: 7th
• Study Level: Undergraduate
• Course type: Specialization
• Teaching and exams language: Ελληνικά
• Teaching Methods (Hours/Week): Lectures (4)
• ECTS Units: 5
• Exams Schedule:
  • 15/06/2026, 12:00 - 14:00:

Course Contents

Introduction to the mathematical theory of elasticity. The differential equation of the disc in
Cartesian and polar coordinates.
Thin plates. The differential equation of plates. Analytical and approximate solutions. Orthogonal –
circular plates.
Introduction to the Finite Element Method. Finite elements of plates (Kirchhoff). Finite elements of
plates (Mindlin).
Shells. Loads, physical quantities and equations of shell theory. Shell membrane theory. Shell
bending theory.
Modelling of planar structures.

Educational Goals

The course aims to understand the behavior of plates – shells – disks using analytical and approximate
methods and the application of the finite element method to planar structures.

General Skills

– Search for, analysis and synthesis of data and information, with the use of the necessary technology
– Adapting to new situations
– Decision-making
– Working independently
– Team work
– Working in an interdisciplinary environment
– Project planning and management
– Criticism and self-criticism
– Production of free, creative and inductive thinking

Teaching Methods

Face to face.

Teaching Organization

Students Evaluation

1. Assignment of tasks aimed at exploring the understanding
of the concepts taught.
2. Final written exam at the end of the semester (in Greek).
3. Each student is given the opportunity to review their
written exam and have their mistakes analyzed.

Recommended Bibliography

• Ε. Σαπουντζάκης, Θεωρία Πλακών, 2005,Εκδόσεις Ε.Μ.Π.
• Βαλιάσης Θωμάς, Επιφανειακοί φορείς, 2000, Εκδόσεις Ζήτη, ISBN: 960-431-602-8
• Τριαντάφυλλος Κ. Μακάριος, Επιφανειακοί φορείς, 2018, Εκδόσεις Τζιόλα, ISBN 978-960- 418-768-3
• J. Katsikadelis, The Boundary Element Method For Plate Analysis, 2014, Academic press,
  Elsevier, ISBN: 13: 978-0-12-416739-1.
• Γ. Τσαμασφύρος, Ε. Θεοτόκογλου, Μέθοδος Πεπερασμένων Στοιχείων Ι, Εκδόσεις
  Συμμετρία, 2005, ISBN: 978-960-266-140-2.
• Χ. Προβατίδης, Πεπερασμένα Στοιχεία Στην Ανάλυση Κατασκευών, Εκδόσεις Τζιόλα, 2016,
  ISBN: 9789604186761
• Sapountzakis E., Plates Theory, NTUA publ., 2005 (in Greek)
  Valiasis Th., Planar structural systems, Zitis publ., 2000 (in Greek)
  Makarios Tr. Manolis G., Planar structural systems, Tziolas publ., 2018 (in Greek)
  J. Katsikadelis, The Boundary Element Method For Plate Analysis, 2014, Academic press, Elsevier
  Tsamasfyros G., Theotokoglou E., Finite Element Method vol. I, Symmetry publ., 2005 (in Greek)
  Provatidis Ch., Finite Elements in the Analysis of Structures, Tziolas publ., 2016 (in Greek)