|
|
Main menu for Browse IS/STAG
Course info
KME / VMP
:
Course description
Department/Unit / Abbreviation
|
KME
/
VMP
|
Academic Year
|
2024/2025
|
Academic Year
|
2024/2025
|
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
|
0 / -
|
0 / -
|
0 / -
|
Repeated registration
|
NO
|
Repeated registration
|
NO
|
Timetable
|
Yes
|
Semester taught
|
Winter semester
|
Semester taught
|
Winter semester
|
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)
|
35
|
Contact hours
|
65
|
Total
|
135
|
|
Prerequisites
|
Knowledge - students are expected to possess the following knowledge before the course commences to finish it successfully: |
know and orientate yourself in classical mechanics (statics, kinematics, dynamics) of mass points and rigid bodies |
know the issues of mechanics of material (uniaxial tension, plane tension and deformation, spatial tension) |
know the basic types of stress (tension-compression, torsion, bending) of rod and beams |
know the basic behavior of materials (homogeneous, isotropic, linear, elastic) |
know matrix and vector calculus (determinant, Gaussian elimination, inverse matrix) |
Skills - students are expected to possess the following skills before the course commences to finish it successfully: |
define the problem of statics, kinematics and dynamics of a mass point and a body |
define the basic terms of mechanics of materials |
describe and solve the basic problems of elasticity and strength (tension-compression, torsion and bending of straight rods and beams) |
solve systems of algebraic equations using matrix calculus (determinant, Gaussian elimination, inverse matrix) |
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: |
explain the difference between an exact and an approximate solution to an elasticity problem |
define the role of mechanics of materials |
classify approximate methods (Ritzova, finite element method, boundary element method) |
classify different types of finite elements and describe their properties |
explain the principles of numerical integration |
define and describe the properties of isoparametric elements |
Skills - skills resulting from the course: |
solve elasticity problems using the finite element method in a commercial software |
choose and justify the appropriate dimension of the problem and types of elements for the numerical solution |
create a numerical model for a specified deformable problem (statics, dynamics, modal analysis) |
analyze and assess the necessary level of detail of the numerical model for the required accuracy of the solution |
create a high-quality technical report with a description of the performed numerical analysis |
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 |
|
|
|
|