Course detail
Engineering Mechanics
FSI-UIM-AAcad. year: 2022/2023
Fundamentals of Linear Elastic Fracture Mechanics, assessment of safety of solids with cracks under static and cyclic loading, . Fatigue of metals: cyclic curve, S-N curve, Manson-Coffin curve. Basic concepts of computational assessment of fatigue under dxymetric and asymmetric deterministic loading cycles, under uniaxial and biaxial state of stress, and under stochastic loading. 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. Analytical solutions of selected bodies: thick wall cylinder, rotating disc, axisymmetric plate, axisymmetric membrane shell, bending theory of cylindrical shell. Comparison of analytical and numerical approaches. 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
Final exam: Written part of the examination plays a decisive role, where the maximum of 80 ECTS points can be reached. It consists of a written theoretical test evaluated with max. 30 points and solution of two computational problems (50 pts max.). The problems concern typical profile areas of the subject. The lecturer will specify exact demands like types problems during the semester preceding the examination.
Final evaluation of the course is obtained as the sum of ECTS points gained in seminars and at the examination. To pass the course, at least 50 points must be reached.
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
Seed,G.M.: Strength of Materials, Saxe-Coburg Publications, 2000 (EN)
Ugural A.C., Fenster S.K.: Advanced Strength and Applied Elasticity. Pearson, 4th ed. 2003. (EN)
Recommended reading
Elearning
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
General strength of materials - basic quantities and system of relationships between them.
Generalized Hooke’s law
Thick-walled cylindrical body
Rotating disks and cylindrical bodies
Circular and annular plates
Axisymmetric membrane shell
Cylindrical momentum shell
Composed bodies, comparison of analytical and numerical (FEM) solutions
Fatigue strength of beams – concept of nominal stresses
Fatigue strength of beams – concept of local stresses and strains, limited life
Brittle fracture, basics of linear elastic fracture mechanics
Crack growth at static and cyclic loading
Summary + examination
Exercise
Teacher / Lecturer
Syllabus
Stress and strain states and generalized Hooke’s law
Hooke’s law at assessment of strain gauge measurements
Thick-walled cylindrical body
Rotating disks and cylindrical bodies
Circular and annular plates
Axisymmetric membrane shell
Cylindrical momentum shell
Fatigue strength of beams – concept of nominal stresses
Fatigue strength of beams – concept of nominal stresses
Limit state of brittle fracture
Linear elastic fracture mechanics
Presentation of assignments
Presentation of assignments
Computer-assisted exercise
Teacher / Lecturer
Syllabus
Stress and strain states and generalized Hooke’s law
Hooke’s law at assessment of strain gauge measurements
Thick-walled cylindrical body
Rotating disks and cylindrical bodies
Circular and annular plates
Axisymmetric membrane shell
Cylindrical momentum shell
Fatigue strength of beams – concept of nominal stresses
Fatigue strength of beams – concept of nominal stresses
Limit state of brittle fracture
Linear elastic fracture mechanics
Presentation of assignments
Presentation of assignments
Elearning