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 |
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.
Teaching methods
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:
Way of continuous check of knowledge in the course of semester
E-learning
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.