# 339-0008/01 – Introduction to Continuum Mechanics (FS)

 Gurantor department Department of Mechanics of Materials Credits 4 Subject guarantor doc. Ing. Leo Václavek, CSc. Subject version guarantor doc. Ing. Leo Václavek, CSc. Study level undergraduate or graduate Requirement Choice-compulsory Year 5 Semester winter Study language Czech Year of introduction 1990/1991 Year of cancellation 2014/2015 Intended for the faculties FS Intended for study types Follow-up Master
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

### Subject aims expressed by acquired skills and competences

To teach the students the basic procedures and methods applied for the solution of technical problems of Continuum Mechanics. To ensure the understanding of teaching problems. To apply the gained skills in practice.

Lectures
Tutorials

### Summary

- Pohyb kontinua a jeho geometricky popis. Lagrangeuv a Euleruv zpusob po- pisu pohybu kontinua. - Pohyb jednorozmerneho kontinua. Pomerne prodlouzeni,zakon zachovani hmot- nosti, pohybova rovnice, zakon zachovani energie. - Mechanicka prace v ruznych souradnych soustavach. Sjednoceni formy zapisu. Kovariantni a kontravariantni slozky vektoru. - Vektorova baze, metricke tenzory. Sjednoceni formy zapisu zakladnich rov- nic pro ruzne druhy souradnic. - Transformace souradnic. - Geometricky popis deformace telesa. Greenuv tenzor pretvoreni, Cauchyho tenzor pretvoreni. - Vektorovy soucin a plosne elementy. - Rozbor napjatosti. Tenzor napjatosti. Mohrovo zobrazeni stavu napjatosti. Cauchyho kvadrika napeti. Hlavni napeti. - Konstitucni rovnice pro vazkou kapalinu a viskoelasticky material. - Konstitucni rovnice pro elasticky material. - Plasticita. Podminka plasticity. Zakon plastickeho pretvareni. - Derivace vektoru v krivocarych souradnicich. - Kovariantni derivace a jeji aplikace. - Diferencialni operatory a integralni vety. - Linearni teorie pruznosti, elasticke vlny. - Nelinearne elasticke materialy.

### Compulsory literature:

FRYDRÝŠEK, K., LENERT, J.: Mechanics of Materials, VŠB-TU Ostrava, 2005, ISBN 80-248-08006-4, pp. 63.

### Recommended literature:

FRYDRÝŠEK, K., ADÁMKOVÁ, L.: Mechanics of Materials 1 (Introduction, Simple Stress and Strain, Basic of Bending), Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, Ostrava, ISBN 978-80-248-1550-3, Ostrava, 2007, Czech Republic, pp. 179.

### Other requirements

Lecture attendance, not another request

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

To teach the students the basic procedures and methods applied for the solution of technical problems of Continuum Mechanics. To ensure the understanding of teaching problems. To apply the gained skills in practice.

### Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester, validity until: 2011/2012 Winter semester)
Min. number of pointsMax. počet pokusů
Exercises evaluation and Examination Credit and Examination 100 (145) 51 3
Examination Examination 100  0 3
Exercises evaluation Credit 45  0 3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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### Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2005/2006 (M2301) Mechanical Engineering (3901T003) Applied Mechanics P Czech Ostrava 5 Choice-compulsory study plan
2004/2005 (M2301) Mechanical Engineering (2301T777) Mechanical Engineering / not obligatory subject P Czech Ostrava 4 Optional study plan
2004/2005 (M2301) Mechanical Engineering (3901T003) Applied Mechanics P Czech Ostrava 5 Choice-compulsory study plan
2003/2004 (M2301) Mechanical Engineering (2301T777) Mechanical Engineering / not obligatory subject P Czech Ostrava 4 Optional study plan
2003/2004 (M2301) Mechanical Engineering (3901T003) Applied Mechanics P Czech Ostrava 5 Choice-compulsory study plan
2002/2003 (M2301) Mechanical Engineering (2301T777) Mechanical Engineering / not obligatory subject P Czech Ostrava 4 Optional study plan
2002/2003 (M2301) Mechanical Engineering (3901T003) Applied Mechanics P Czech Ostrava 5 Choice-compulsory study plan
2001/2002 (M2301) Mechanical Engineering (2301T777) Mechanical Engineering / not obligatory subject P Czech Ostrava 4 Optional study plan
2001/2002 (M2301) Mechanical Engineering (3901T003) Applied Mechanics P Czech Ostrava 5 Choice-compulsory study plan
2000/2001 (M2301) Mechanical Engineering (2301T777) Mechanical Engineering / not obligatory subject P Czech Ostrava 4 Optional study plan
2000/2001 (M2301) Mechanical Engineering (3901T003) Applied Mechanics P Czech Ostrava 5 Choice-compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

### Assessment of instruction

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