Reinforced concrete modelling - BMEEOHSDT81

3

név	István Sajtos, PhD
beosztás	Egyetemi docens
email	sajtos.istvan@epk.bme.hu

Hidak és Szerkezetek Tanszék

angol

There are no subject prerequisites. Students participating in the course must be proficient in the design and analysis of reinforced concrete structures. The students should know the design principles and analysis methods of load-bearing structures based on Eurocode, and the basis of the finite element method. Intermediate English language knowledge is expected.

2022. szeptember 1.

The aim of the PhD course is to gain knowledge on fracture mechanics based numerical modelling of concrete and reinforced concrete structures. The course will introduce the elements of reinforced concrete numerical modelling with the practical application possibilities and limitations. The effects of concrete constituents on capacity and ductility and their possible numerical models will be discussed The fracture mechanics-based models of reinforced concrete are also introduced (linear elastic-, and non-linear fracture mechanics models).
Students who complete the course gain knowledge in the following topics:

• numerical modelling possibilities of reinforced concrete structures;
• linear and non-linear behaviour of concrete structures;
• numerical models of cracks;
• models of secondary effects; strain softening, dowel action; creep and shrinkage; size effect; aggregate interlock;
• effect of concrete constituents on capacity and ductility of concrete,
• models of cracks based on linear elastic fracture mechanics;
• models of cracks based on nonlinear fracture mechanics;
• models of crack propagation.

Lectures, practical analysis, communication in writing and orally, using IT tools and techniques.

Week	Topics of lectures and/or exercise classes
1.	Introduction: micro-, meso-, macro models of concrete, reinforced concrete
2.	Models of reinforced concrete - linear elastic models
3.	Models of reinforced concrete - nonlinear behaviour models (discrete crack model, smeared crack model)
4.	Models of reinforced concrete - nonlinear models (secondary effects: softening for tension and compression, the effect of confinement, tension stiffening, aggregate interlock, shear friction, dowel action, size effect, creep and shrinkage)
5.	Structure of cement and concrete and its effect on the strength and ductility - uniaxial compression
6.	Structure of cement and concrete and its effect on the strength and ductility - uniaxial tension
7.	Structure of cement and concrete and its effect on the strength and ductility - shearing
8.	Structure of cement and concrete and its effect on the strength and ductility - multiaxial stress state
9.	Fracture mechanics of reinforced concrete - linear elastic models
10.	Fracture mechanics of reinforced concrete - nonlinear models
11.	Fracture mechanics of reinforced concrete - approximate non-linear fracture models

A félév közbeni munkaszüneti napok miatt a program csak tájékoztató jellegű, a pontos időpontokat a tárgy honlapján elérhető "Részletes féléves ütemterv" tartalmazza.

a) Books:

• S. Kumar - S.V. Barai: Concrete Fracture Models and Applications, Springer-Verlag, Berlin, 2011.
• J.G.M. van Mier: Fracture Processes of Concrete, CRC Press, 1997.
• B.L. Karihaloo: Fracture Mechanics of Concrete, Addison-Wesely Longman Ltd., 1995.
• A.R. Ingraffea: Computational Fracture Mechanics, Chp.11 in: ed. E Stein et al: Encyclopaedia of Computational Mechanics, Vol.2: Solids and Structures, John Wiley and Sons, 2004.
• R. Lackner et al: Computational Concrete Mechanics, Chp.15 in: ed. E Stein et al: Encyclopaedia of Computational Mechanics, Vol.2: Solids and Structures, John Wiley and Sons, 2004.
• Structural Concrete: Journal of the fib

b) Downloadable materials:

• Slides of lecture materials
• Kármán T.: Mitől függ az anyag igénybevétele? Magyar Mérnök és Építészegylet Közlönye, 44 (10), 1910, p.212-226.

Appointments for consultation:

according to the announcement on the department’s web page, or

asking for an appointment in e-mail; e-mail: sajtos.istvan@epk.bme.hu

2024/2025 semester I

The evaluation of the learning outcomes stated in point 2.2 is done on the basis of a project task (report) and the result shown in the exam.

Evaluation form	Abbreviation	Assessed learning outcomes
Homework – project task (report)	HW	A.1-A.8; B.1-B.4; C.1-C.4; D.1-D.2
Exam (performance evaluation)	E	A.1-A.8; B.1-B.4; C.1-C.4; D.1-D.2

The time of the evaluations held during the semester is in the "Semester schedule", which is available on the subject's website.
A szorgalmi időszakban tartott értékelések pontos idejét, a házi feladatok ki- és beadási határidejét a "Részletes féléves ütemterv" tartalmazza, mely elérhető a tárgy honlapján.

Abbreviation	Score
HW	20%
Sum during the semester	20%
E	80%
Sum	100%

The condition for passing the subject is that the student achieves 50% of the scores on the homework. Insufficient performance in the exam will result in a fail grade.

The condition for obtaining the signature is that, according to point 3.3, the student achieves at least 50% of the points that can be obtained during the semester on the homework.
Mid-semester results previously obtained from the subject, which can be taken into account when determining the exam grade, can be accepted for up to 6 semesters.

The grades of those who meet the attendance requirements are determined according to the following criteria:
The final grade is calculated based on the weighted average of the homework and the exam according to point 3.3:

Grade	Points (P)
excellent (5)	80<=P
good (4)	70<=P<80%
satisfactory (3)	60<=P<70%
passed (2)	50<=P<60%
failed (1)	P<50%

According to the Study Rules.

2022. szeptember 1.

2024/2025 semester I