330-0910/02 – Mechanics of Continuum (MK)

Gurantor departmentDepartment of Applied MechanicsCredits10
Subject guarantordoc. Ing. Karel Frydrýšek, Ph.D.Subject version guarantordoc. Ing. Karel Frydrýšek, Ph.D.
Study levelpostgraduateRequirementChoice-compulsory
YearSemesterwinter + summer
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFSIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
FRY72 doc. Ing. Karel Frydrýšek, Ph.D.
LEN30 prof. Ing. Jiří Lenert, CSc.
VAC10 doc. Ing. Leo Václavek, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 25+0
Combined Examination 25+0

Subject aims expressed by acquired skills and competences

Students get to know the theoretical and application approaches for solutions of the biomechanical tasks (process of data, model creation, numerical modelling, experiments). The focus is on the area of a multidisciplinary solution of rigid and deformable bodies, boundary and initial conditions, loadings and material behaviours tasks.

Teaching methods

Lectures
Individual consultations
Experimental work in labs
Project work

Summary

This subject introduces students to Mechanics of continuum (theory, practice, modelling, experiments and applications). Applications are focused mainly on engineering interdisciplinary problems of statics, kinematics, dynamics, mathematical theory of elasticity and plasticity, fatigue, material science, composites, stress-strain states and limit states, analytical, numerical and experimental approaches including nonlinearities. Acquired knowledge are needed for success scientific work, research, development and innovations in industry.

Compulsory literature:

FRYDRÝŠEK, K., KOMPIŠ, V., LENERT, J., DROPPA P. et al. Composite Materials in Theory and Practice, VSB – Technical University of Ostrava, ISBN 978-80-248-3239-5, 2013, 187 s. FRYDRÝŠEK, K. Basic Strength and Elasticity of Materials, VŠB – Technical University of Ostrava, ISBN 9788024838700, 2016, 264s. HEARN,E. J. Mechanics of Materials, Pergamon Press, 1985 BORESI, A.P. SCHMIDT, R.J., SIDEBOTTOM, O.M. Advanced Mechanics of Materials, John Wiley & Sons,Inc., 1993

Recommended literature:

TIMOSHENKO, S. P., GOODIER, J. N. Theory of elasticity. New York-Toronto- London: Mc Graw-Hill, 1951, 3.ed.1970. LEIPHOLZ, H. Theory of elasticity. Noordhoff International Publishing Leyden, 1974. ISBN 90 286 0193 7

Way of continuous check of knowledge in the course of semester

Příprava zadané problematiky v písemné formě.

E-learning

Další požadavky na studenta

The student prepare individual account on selected topic

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Specifically, the following issues are discussed : stress and strain tensor , transformation tensor components , the main components of a tensor, determining the principal planes , invariants of the stress tensor and deformation. Mohr's circle for stress and strain . Physical linear equations elastomechaniky orthotropic material , isotropic material , plane strain condition , plane stress state , energy principles , work and potential energy , complementary energy principle of virtual work , boundary conditions. Equilibrium equations, compatibility conditions , equilibrium equations feeds in folders , folders solutions through feeds . some problems planar and spatial elastomechaniky . Torsion bars with constant circular section, bending of prismatic bars , center of shear , bending stress plates, torsion of prismatic rods of non-circular cross-section , membrane analogy , the function voltage , the voltage distribution in the rotationally symmetrical bodies , the circular cylinder, rotating ring strain of rotationally symmetric plates , thermal stresses. Fundamentals of mechanics of materials komozitních . Types of material , homogeneous, heterogeneous , anisotropic and isotropic , anisotropic , orthotropic material material response , cutting composite materials , lamina , laminate , basic lamina properties , degree of anisotropy of elastic behavior unidirectional lamina, dependence of stress and strain , relations between the elastic constants and physical constants , transformation tensor components of stress and strain , elastic behavior multidirectional composite laminate layers constitutive equation , force and torque resultant laminate layer symmetric laminate.

Conditions for subject completion

Full-time form (validity from: 2015/2016 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Examination Examination  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P English Ostrava Choice-compulsory study plan
2018/2019 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P English Ostrava Choice-compulsory study plan
2018/2019 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K English Ostrava Choice-compulsory study plan
2017/2018 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P English Ostrava Choice-compulsory study plan
2017/2018 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K English Ostrava Choice-compulsory study plan
2016/2017 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P English Ostrava Choice-compulsory study plan
2016/2017 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K English Ostrava Choice-compulsory study plan
2015/2016 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P English Ostrava Choice-compulsory study plan
2015/2016 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K English Ostrava Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner