SubjectsSubjects(version: 902)
Course, academic year 2021/2022
Mechanics of Materials - M107001
Title: Mechanika materiálů
Guaranteed by: Department of Glass and Ceramics (107)
Actual: from 2019
Semester: winter
Points: winter s.:5
E-Credits: winter s.:5
Examination process: winter s.:
Hours per week, examination: winter s.:3/0 [hours/week]
Capacity: unlimited / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
For type: Master's (post-Bachelor)
Note: course can be enrolled in outside the study plan
enabled for web enrollment
Guarantor: Pabst Willi prof. Dr. Dipl.-Min.
Interchangeability : N107003
This subject contains the following additional online materials
Annotation -
Last update: Fialová Jana (04.01.2018)
This course provides a self-contained and consistent overview of the mechanical and thermomechanical properties of materials, based on the theory of rational mechanics and thermomechanics. The presentation of the topics is based on the exact theory of continua and requires from the student the ability to follow tensor formalism. Apart from standard topics this course contains recent developments in the field of materials mechanics, and tries to correct some of the errors and misconceptions in the common textbook literature. The course is appropriate for students of all subjects.
Aim of the course -
Last update: Fialová Jana (04.01.2018)

Students will be able to:

use the most important concepts related to stress and strain tensors, correctly choose and and evaluate mechanical tests, correctly interpret their results, use the correct terminology for the presentation of results and grasp the underlying theoretical principles of materials mechanics to the degree and depth necessary for a full understanding of the modern specialized literature in the field.

Literature -
Last update: Fialová Jana (04.01.2018)

R - Haupt P.: Continuum Mechanics and Theory of Materials. Springer, Berlin 2000. (ISBN 3-540-66114-X).

R - Billington E. W., Tate A.: The Physics of Deformation and Flow. McGraw Hill, New York 1981. (ISBN 0-07-005285-9).

R - Green D.J.: An Introduction to the Mechanical Properties of Ceramics. Cambridge University Press , Cambridge 1998. (ISBN 0-521-59913-X).

R - Menčík J.: Pevnost a lom skla a keramiky. SNTL, Praha 1990. (ISBN 80-03-00205-2).

R - Pabst W., Gregorová E.: Effective elastic moduli of alumina, zirconia and alumina-zirconia composite ceramics, pp. 31-100 in Caruta B.M. (ed.): Ceramics and Composite Materials � New Research. Nova Science, New York 2006. (ISBN 1-59454-370-4).

A - Torquato S.: Random Heterogeneous Materials - Microstructure and Macrosopic Properties. Springer, New York 2002.

A - Menčík J.: Strength and Fracture of Glass and Ceramics. Elsevier, Amsterdam 1992. (ISBN 0-444-98685-5).

A - Pabst W., Gregorová E.: Effective thermal and thermoelastic properties of alumina, zirconia and alumina-zirconia composite ceramics, pp. 77-138 in Caruta B.M. (ed.): New Developments in Materials Science Research. Nova Science, New York 2007. (ISBN 1-59454-854-4).

Learning resources -
Last update: Fialová Jana (04.01.2018)

Lecture notes on CD (available from the lecturer).

Syllabus -
Last update: Fialová Jana (04.01.2018)

1. Introduction: balance equations of mechanics and thermomechanics, tensors, principal values, invariants, Cayley-Hamilton theorem

2. Constitutive theory: constitutive principles, deformation function, deformation gradient, deformation and strain tensors, stress tensors

3. Linear elasticity of anisotropic solids, nonlinear elasticity of isotropic solids, viscosity of non-Newtonian fluids

4. Linear elasticity of isotropic solids (uniaxial tension, simple shear, isotropic deformation), definition of elastic constants, auxetic materials

5. Linear thermoelasticity of solids and fluids (stress, heat flux, energy, entropy), isothermal and adiabatic elastic constants

6. Equations of state, principles of atomistic modeling of elastic and thermoelastic properties; property values for metals, ceramics, glasses and polymers

7. Effective elastic, thermoelastic and thermophysical properties of dense polycrystalline materials; measurement of elastic, thermoelastic and thermophysical properties

8. Temperature dependence of elastic, thermoelastic and thermophysical properties; high-temperature behavior of materials

9. Basic fracture mechanics: plane elasticity, stress intensity factor, fracture criteria, plastic zone, fatigue, lifetime; elastoplastic behavior

10. Testing of mechanical properties: strength, Weibull statistics, hardness, fracture toughness; temperature and grain size dependence of properties

11. Rheology: Viscous, viscoplastic and viscoelastic material behavior, damping

12. Effective properties of heterogeneous materials I: Rigorous micromechanical bounds

13. Effective properties of heterogeneous materials II: Model relations for composites

14. Effective properties of heterogeneous materials III: Model relations for porous materials

Registration requirements -
Last update: Fialová Jana (04.01.2018)

Mathematics I, Mathematics II

Course completion requirements -
Last update: Pabst Willi prof. Dr. Dipl.-Min. (15.02.2018)

In order to complete the subject the student has to pass a written qualification test and an oral exam.

Teaching methods
Activity Credits Hours
Účast na přednáškách 1,5 42
Příprava na přednášky, semináře, laboratoře, exkurzi nebo praxi 1,5 42
Příprava na zkoušku a její absolvování 2 56
5 / 5 140 / 140