|
|
Main menu for Browse IS/STAG
Course info
KME / VMP
:
Course description
Department/Unit / Abbreviation
|
KME
/
VMP
|
Academic Year
|
2023/2024
|
Academic Year
|
2023/2024
|
Title
|
Comp. Methods in Mechanics of Materials
|
Form of course completion
|
Exam
|
Form of course completion
|
Exam
|
Long Title
|
Computational Methods in Mechanics of Materials
|
Accredited / Credits
|
Yes,
5
Cred.
|
Type of completion
|
Combined
|
Type of completion
|
Combined
|
Time requirements
|
Lecture
3
[Hours/Week]
Tutorial
2
[Hours/Week]
|
Course credit prior to examination
|
Yes
|
Course credit prior to examination
|
Yes
|
Automatic acceptance of credit before examination
|
No
|
Included in study average
|
YES
|
Language of instruction
|
Czech, English
|
Occ/max
|
|
|
|
Automatic acceptance of credit before examination
|
No
|
Summer semester
|
0 / -
|
0 / -
|
0 / -
|
Included in study average
|
YES
|
Winter semester
|
4 / -
|
0 / -
|
0 / -
|
Repeated registration
|
NO
|
Repeated registration
|
NO
|
Timetable
|
Yes
|
Semester taught
|
Winter + Summer
|
Semester taught
|
Winter + Summer
|
Minimum (B + C) students
|
10
|
Optional course |
Yes
|
Optional course
|
Yes
|
Language of instruction
|
Czech, English
|
Internship duration
|
0
|
No. of hours of on-premise lessons |
|
Evaluation scale |
1|2|3|4 |
Periodicity |
každý rok
|
Evaluation scale for credit before examination |
S|N |
Periodicita upřesnění |
|
Fundamental theoretical course |
Yes
|
Fundamental course |
No
|
Fundamental theoretical course |
Yes
|
Evaluation scale |
1|2|3|4 |
Evaluation scale for credit before examination |
S|N |
Substituted course
|
None
|
Preclusive courses
|
N/A
|
Prerequisite courses
|
N/A
|
Informally recommended courses
|
N/A
|
Courses depending on this Course
|
KME/M, KME/MECH, KME/MEPT, KME/PME, KME/SZVMM
|
Histogram of students' grades over the years:
Graphic PNG
,
XLS
|
Course objectives:
|
To acquaint student with fundamental principals of majority of modern methods for numerical solution of various problems in mechanics of materials, such as finite element method (FEM), boundary element method, extended FEM and meshless methods. To acquaint student with fundamental types of problems, such as statics, modal analysis, non-stationary state of stress, contact problems, non-linear problems and topics of anisotropic layered materials and failure prediction.
|
Requirements on student
|
Requirements for credit:
Active attendance on laboratory classes (min. 50%) and elaboration of semester work.
Requirements for exam:
Active knowledge of lectured subject matter, ability to interpret results of semester work.
|
Content
|
1.Fundamental equations of theory of elasticity
2.Classic formulation of FEM, variational principles
3.Problem formulation and weak solution.
4.Isoparametric elements.
5.Numerical integration.
6.Mass matrix, equations of motion, modal analysis.
7.Plate and shell elements.
8.Nonlinear problems.
9.Convergence, test problems.
10.Coupling, contact problems, substructures.
11.Non-stationary state of stress.
12.Multiphysics problems.
13.Boundary element method.
|
Activities
|
|
Fields of study
|
|
Guarantors and lecturers
|
|
Literature
|
-
Basic:
Cook, Robert Davis. Finite element modeling for stress analysis. [1st ed.]. New York : John Wiley & Sons, 1995. ISBN 0-471-10774-3.
-
Basic:
Zienkiewicz, O. C.; Taylor, Robert L.; Fox, D. D. The finite element method for solid and structural mechanics. Seventh edition. 2014. ISBN 978-1-85617-634-7.
-
Extending:
Bittnar, Zdeněk; Šejnoha, Jiří. Numerické metody mechaniky 1.. 1. vyd. Praha : ČVUT, 1992. ISBN 80-01-00855-X.
-
Extending:
Bittnar, Zdeněk; Šejnoha, Jiří. Numerické metody mechaniky 2.. 1. vyd. Praha : ČVUT, 1992. ISBN 80-01-00901-7.
-
Recommended:
Reddy, J. N. An introduction to nonlinear finite element analysis. Oxford : Oxford University Press, 2004. ISBN 0-19-852529-X.
-
Recommended:
Bathe, Klaus-Jürgen. Finite element procedures. [S.n. : s.l.], 2006.
-
Recommended:
Belytschko, Ted; Liu, W. K.; Moran, B. Nonlinear finite elements for continua and structures. Chichester : Wiley, 2000. ISBN 0-471-98773-5.
-
Recommended:
Bucalem, Miguel Luiz; Bathe, Klaus-Jürgen. The Mechanics of solids and structures : hierarchical modeling and the finite element solution. Berlin : Springer, 2011. ISBN 978-3-540-26331-9.
-
On-line library catalogues
|
Time requirements
|
All forms of study
|
Activities
|
Time requirements for activity [h]
|
Graduate study programme term essay (40-50)
|
35
|
Preparation for an examination (30-60)
|
40
|
Contact hours
|
65
|
Total
|
140
|
|
Prerequisites
|
Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
znát a orientovat se v klasické mechanice (statika, kinematika, dynamika) hmotného bodu a tuhého tělesa |
znát problematiku pružnosti a pevnosti (jednoosá napjatost, rovinná napjatost a deformace, prostorová napjatost) |
znát základní druhy namáhání (tah-tlak, krut, ohyb) přímých prutů a nosníků |
znát základní chování materiálů (homogenní, izotropní, lineární, elastický) |
znát maticový a vektorový počet (determinant, Gaussova eliminace, inverzní matice) |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
definovat problém statiky, kinematiky a dynamiky hmotného bodu a tělesa |
definovat základní pojmy problematiky pružnosti a pevnosti |
popsat a řešit základní úlohy pružnosti a pevnosti (tah-tlak, krut a ohyb přímých prutů a nosníků) |
řešit soustavy algebraických rovnic pomocí maticového počtu (determinant, Gaussova eliminace, inverzní matice) |
Competences - students are expected to possess the following competences before the course commences to finish it successfully: |
N/A |
|
Learning outcomes
|
Knowledge - knowledge resulting from the course: |
vysvětlit rozdíl mezi přesným a přibližným řešením úlohy pružnosti |
definovat úlohu pružnosti |
klasifikovat přibližné metody (Ritzova, metoda konečných prvků, metoda hraničních prvků) |
klasifikovat různé typy konečných prvků a popsat jejich vlastnosti |
vysvětlit principy numerické integrace |
definovat a popsat vlastnosti isoparametrických prvků |
Skills - skills resulting from the course: |
řešit úlohy pružnosti pomocí metody konečných prvků v komerčním balíku |
vybrat a zdůvodnit vhodnou dimenzi úlohy a typy prvků pro numerické řešení |
sestavit numerický model pro zadanou úlohu pružnosti (statika, dynamika, modální analýza) |
analyzovat a posoudit nutnou úroveň detailnosti numerického modelu pro požadovanou přesnost řešení |
vytvořit kvalitní technickou zprávu s popisem provedené numerické analýzy |
Competences - competences resulting from the course: |
N/A |
|
Assessment methods
|
Knowledge - knowledge achieved by taking this course are verified by the following means: |
Combined exam |
Seminar work |
Skills - skills achieved by taking this course are verified by the following means: |
Skills demonstration during practicum |
Individual presentation at a seminar |
Competences - competence achieved by taking this course are verified by the following means: |
Combined exam |
Individual presentation at a seminar |
|
Teaching methods
|
Knowledge - the following training methods are used to achieve the required knowledge: |
Lecture with visual aids |
Task-based study method |
Skills - the following training methods are used to achieve the required skills: |
Practicum |
Individual study |
Competences - the following training methods are used to achieve the required competences: |
Lecture |
Practicum |
Self-study of literature |
Interactive lecture |
|
|
|
|