Course detail
Strength of Materials II
FSI-5PP-AAcad. year: 2021/2022
Assessment of solids with cracks, fundamentals of Linear Elastic Fracture Mechanics. Fatigue: basic material characteristics, basic methods of fatigue analysis. General theory of elasticity - stress, strain and displacement of an element of continuum. System of equations of linear theory of elasticity, general Hooke's law. Closed form solutions of elementary problems: thick wall cylinder, rotating disc, axisymmetrical plate, axisymmetric membrane shell, bending theory of cylindrical shell. Introduction to numerical analysis of elastic bodies using finite element method. Oveview of experimental methods in solid mechanics, electric resistance strain gauges.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Offered to foreign students
Learning outcomes of the course unit
Prerequisites
Basic knowledge of statics (especially equations of statical equilibrium and free body diagrams) and mechanics of materials (stress and strain tensors, elasticity theory of bars, failure criteria for ductile and brittle materials).
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Examination: Examination is split into two parts. The content of the first mandatory part is the theoretical written test, where the maximum of 70 points can be reached. The content of the second part, which is optional, is an oral examination, where the maximum of 30 points can be reached. Specific form of the examination, types of the tasks or questions and other details will be communicated during the semester by the lecturer and through e-learing.
Course curriculum
Work placements
Aims
This subject is included into study plan of the 3rd year of general bachelor's study as a compulsory-optional one. It is recommended as a prerequisite of branches M-ADI, M-ENI, M-FLI, M-IMB, M-MET or M-VSR.
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
DOWLING, N. E. Mechanical behavior of materials: Engineering methods for deformation, fracture, and fatigue. 3rd Ed. Upper Saddle River: Prentice Hall, 2007. ISBN 0-13-186312-6.
JANÍČEK, P. a PETRUŠKA, J. Pružnost a pevnost II: Úlohy do cvičení. 3. vyd. Brno: Akademické nakladatelství CERM, 2007. ISBN 978-80-214-3441-7.
ONDRÁČEK, E.; VRBKA, J.; JANÍČEK, P. a BURŠA, J. Mechanika těles: Pružnost a pevnost II. 4. přeprac. vyd. Brno: Akademické nakladatelství CERM, 2006. ISBN 80-214-3260-8.
UGURAL, A. C. Plates and Shells: Theory and Analysis. 4th Ed. Boca Raton: CRC Press, 2018. ISBN 978-1-138-03245-3.
Recommended reading
Elearning
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
2. Behaviour of a body with a crack - residual life prediction under cyclic loading.
3. Behaviour of solids under cyclic loading, material characteristics for low-cycle and high-cycle fatigue.
4. Actual approaches and procedures of fatigue strength assessment for bar-like bodies.
5. General theory of elasticity - basic quantities and system of equations.
6. Basic types of model bodies and their analytical solution, generalized Hooke's law.
7. Thick-walled cylindrical vessels - stress-strain analysis.
8. Rotating discs - stress-strain analysis.
9. Axisymmetric plates - stress-strain analysis.
10. Axisymmetric membrane shells - stress-strain analysis.
11. Bending theory of cylindrical shells - stress-strain analysis.
12. Application of Finite Element Method in stress-strain analyses.
13. Experimental methods of evaluation of stresses and other mechanical quantities, electric resistance strain gauges.
Exercise
Teacher / Lecturer
Syllabus
4. Criterion of unstable crack propagation, LEFM, estimation of the residual life.
6. Fatigue failure under non-symmetrical stress cycle.
8. Thick-walled cylindrical vessels - stress-strain analysis.
11. Axisymmetric membrane shells - stress-strain analysis.
12. Bending theory of cylindrical shells - stress-strain analysis.
13. Course-unit credit.
Computer-assisted exercise
Teacher / Lecturer
Syllabus
3.Stress state in a point of a body, principal stresses, failure criteria under multiaxial stress states.
5. Limit state of fatigue fracture, endurance strength.
7. Fatigue under combined loading, safety under non-proportional loading.
9. Rotating discs - stress-strain analysis.
10. Axisymmetric plates - stress-strain analysis.
Elearning