Elastoplastic Analysis of Structures
| Title | Ελαστοπλαστικός Υπολογισμός Κατασκευών / Elastoplastic Analysis of Structures |
| Code | ΤΚ9160 |
| Faculty | Engineering |
| School | Civil Engineering |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter/Spring |
| Common | No |
| Status | Active |
| Course ID | 600022063 |
Programme of Study: PPS TPM - EISAKTEOI APO 2022 KAI EXĪS
Registered students: 0
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| "EPISTĪMĪS KAI TECΗNOLOGIAS TŌN KATASKEUŌN" | Elective Courses | 9 | 5 | 4 |
| "YDRAULIKĪS KAI TECΗNIKĪS PERIVALLONTOS" | Elective Courses | 9 | 5 | 4 |
| "GEŌTECΗNIKĪS MĪCΗANIKĪS" | Elective Courses | 9 | 5 | 4 |
| "METAFORŌN KAI DIACΗEIRISĪS ERGŌN" | Elective Courses | 9 | 5 | 4 |
| Academic Year | 2026 – 2027 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 4 |
| Total Hours | 52 |
| Class ID | 600303857
|
Course Type 2021
Specialization / Direction
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600303857
- eLearning (Moodle):
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
- English (Examination)
Prerequisites
General Prerequisites
• Mathematics I
• Mathematics II
• Mathematics III
• Computer programming for civil engineers
• Numerical Analysis
• Engineering Mechanics
• Strength of Materials and Structural Elements I
• Strength of Materials and Structural Elements II
• Structural analysis of isostatic structures
• Structural analysis of hyperstatic structures
• Numerical Methods in structures for civil engineers
• Numerical Methods in Structural Analysis
Learning Outcomes
With the successful conclusion of the course, the students will be able to: 1) Formulate and solve an elastoplastic problem of loading of a medium and calculate stresses and strains. 2) Select yield criterion depending on the material, formulate the elastoplastic stiffness matrix and the algorithm of the elastoplastic loading. 3) Formulate and solve limit analysis problems for the calculation of failire loads of structures. 4) Describe, fromulate and solve problems of determining the elastoplastic response of a variety of structures (surface and spatial) to static loads, using the finite element method. 5) Αnalyze and solv problems of elastoplastic static analysis of spatial framed structures with the use of specialized software.
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Adapt to new situations
- Make decisions
- Work autonomously
- Work in an international context
- Generate new research ideas
Course Content (Syllabus)
Description of the plasticity concept in structures. The physics of plastic deformation. One-dimensional elastoplastic constitutive laws of materials. Tangential and plastic stiffness modulus. Hardening and hardening laws. Hysteresis loops. Yield criteria of ductile and brittle materials and applications. Criteria Tresca, von Mises, Mohr-Coulomb, Drucker-Prager. Constitutive relations of elasticity in matrix notation. Virtual work principles. Prager's stability postulate. Perfect elastoplasticity. Yield surfaces and elastic and plastic strains in three dimensions. Flow rules and plastic potentials. Consistency conditions. Calculation of plastic strains and applications. Plastic dilation. Matrix formulation of the theory and the constitutive equations of elastoplasticity. Incremental formulation and algorithm of the elastoplastic loading. Hardening in three dimensions. Hardening parameters and calibration. Incremental formulation of the constitutive relations for hardening. Loading criterion. Theorems of limit analysis and applications of static and kinematic method. Acceptable field of stresses and displacements. Upper and lower bound theorems. Energy dissipation in the continuum solid and in discontinuities. Applications to foundations and structures like beams and frames. Step by step solution method to analyze flat (2D) frames. Plasticity of brittle materials, rocks and concrete. Constitutive laws and their applications. Uniaxial inelastic constitutive material laws. Synoptic matrix formulation of mathematical relations of the plasticity theory. Elasticity law, yield criteria, hardening law, incremental formulation of constitutive mathematical relations. Plasticization models of finite elements. Numerical methods for solving non-linear static and dynamic problems. Nonlinear seismic analysis methods. Applications to problems of calculating the elastoplastic response of structures with the use of the SAP2000 software package. Also, within the frame of the course, the students elaborate mandatory homework.
Educational Material Types
- Notes
- Slide presentations
- Video lectures
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Communication with Students
- Use of ICT in Student Assessment
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 40 | 1.4 | ✓ | ||
| Reading Assigment | 10 | 0.4 | ✓ | ||
| Tutorial | 8 | 0.3 | ✓ | ||
| Interactive Teaching in Information Center | 12 | 0.4 | ✓ | ||
| Project | 30 | 1.1 | ✓ | ||
| Written assigments | 10 | 0.4 | ✓ | ||
| Exams | 2 | 0.1 | ✓ | ||
| Total | 112 | 4 |
Student Assessment
Description
Written examinations on the teaching content of the course Oral examinations on the content of the mandatory homework
Student Assessment methods
- Written Assignment (Formative, Summative)
- Oral Exams (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Additional bibliography for study
Σημειώσεις του μαθήματος σε έντυπη και ηλεκτρονική μορφή (καλύπτουν όλη την ύλη που διδάσκεται).
Last Update
27-06-2025
