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Terminated in academic year 2019/2020

Prediction of Properties and Reliability of Materials

Type of study Follow-up Master
Language of instruction Czech
Code 636-0822/01
Abbreviation PVaS
Course title Prediction of Properties and Reliability of Materials
Credits 5
Coordinating department Department of Material Engineering
Course coordinator prof. Ing. Bohumír Strnadel, DrSc.

Subject syllabus

The lectures:

1. Introduction the lecture.
2. Fundamental relationships between strength characteristics and toughness of structural materials and their microstructure.
3. Formulation of variance effect of microstructural parameters on the stress strain behavior of structural materials.
4. Statistical interpretation of the degradation process and its utilization in estimating the reliability of structural parts.
5. Methods of prediction of the degradation processes of construction materials.
6. Methods for calculating the characteristics of localized limit states and their distribution.
7. Methods of increasing the fracture toughness of structural materials.
8. Stochastic and deterministic prediction of fatigue strength under steady and unsteady loads.
9. General characteristics and consequences of probabilistic and chaotic phenomena on prediction of break of construction materials.
10. Introduction to fractal geometry of the selfsimilar and selfaffine shapes and their quantification.
11. New methods using for evaluation of materials and surfaces of fractal geometry.
12. Assessment of reliability and safety of construction materials when exposed to degradation processes.
13. Methods to minimize the risk of limit state and their application in the design parameters optimized microstructure.
14. Using the prediction characteristics and reliability of materials in engineering practice.

Exercises:

1. Introduction exercises for credit terms, a summary of the literature study, a summary of the basic knowledge of degradation processes of construction materials, metal physics and mathematical statistics required to manage the course.
2. Discussion of the basic relations between the microstructural characteristics of structural materials and their mechanical properties, consequences on the reliability of structural parts.
3. Methods of statistical files of mechanical characteristics of structural materials and the interpretation of character of distribution functions in relation to production technology and processing.
4. General statistical methods for evaluation of processes and their applications to stable crack growth, the creation of fracture instability and the mechanisms of fatigue damage.
5. Examples for the calculation of the statistical distribution of local strength and microstructural characteristics of fracture.
6. Development of algorithms and generating of the selfsimilar and selfaffine fractal shapes and calculation of their statistical characteristics.
7. Practical application of quantifiers to distinguish between probability and chaotic phenomena.
8. Calculation of fractal dimension of surfaces with several surface processing and fracture surfaces.
9. Examples of determination of some statistical characteristics of the microstructure of engineering materials, the application of statistical methods of evaluation character fracture surfaces.
10. Prediction of the development process fracture of structural materials and discussion of order to apply these methods in the engineering practice.
11. Examples of technical computing time dependency reliability of structural parts subjected to effects of degradation processes and the optimization of durability.
12. Solved examples of application of the prediction of material characteristics and reliability in engineering practice.
13. Credit test.
14. Check of the test result, credit.

Literature

1. B. STRNADEL: Solved Problems and Technical Tasks of Material Engineering,
Ostrava Printers 1998, 334 p., in Czech
2. J. NĚMEC, J. SEDLÁČEK: Statistical Basis of Structural Strength 1,
Academia Praha 1982, 313 p., in Czech
3. J. NĚMEC, J. DREXLER, S. V. SERENSEN, V. P. KOGAJEV: Statistical Basis of Structural Strength 2, Academia Praha 1982, 381 p., in Czech
4. J. B. ŠOR: Statistical Methods of Analysis and the Quality Control and Reliability, SNTL Praha 1965, 453 p., in Czech
5. F. C. MOON: Chaotic and Fractal Dynamics An Introduction for Scientists and Engineers, John Wiley & Sons New York 1992, 508 p., ISBN 0-471-54571-6

Advised literature

1. J. KOUTSKÝ: Degradation Processes and Prediction of the Durability, ZČU Plzeň 1995, 166 p., ISBN 80-7082-177-9, in Czech
2. F. E. FISHER, J. R. FISHER: Probability Applications in Mechanical Design,
Marcel Dekker AG New York 2000, 290 p., ISBN 0-8247-0260-3 
3. D. N. P. MURTHY, M. XIE, R. JIANG: Weibull Models, John Wiley & Sons New Jersey 2004, 396 p., ISBN 0-471-36092-9 
4. M. CENCINI, F. CECCONI, A. VULPIANI: Chaos From Simple Models to Complex Systems, World Scientific Publishing Singapure 2010, 460 p., ISBN-13 978-981-4277-65-5 
5. S. MILÁČEK: Random and chaotic phenomenon in the mechanics, Publishing ČVUT Praha 2000, 141 p., ISBN 80-01-02170-X, in Czech