Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Module MAT-81-19-M-7

Scientific Computing in Solid Mechanics (M, 4.5 LP)

Module Identification

Module Number Module Name CP (Effort)
MAT-81-19-M-7 Scientific Computing in Solid Mechanics 4.5 CP (135 h)

Basedata

CP, Effort 4.5 CP = 135 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Module Manager
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-TEMA] Industrial Mathematics
Reference course of study [MAT-88.105-SG] M.Sc. Mathematics
Livecycle-State [NORM] Active

Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
2V MAT-81-19-K-7
Scientific Computing in Solid Mechanics
P 28 h 107 h - - PL1 4.5 irreg.
  • About [MAT-81-19-K-7]: Title: "Scientific Computing in Solid Mechanics"; Presence-Time: 28 h; Self-Study: 107 h

Examination achievement PL1

  • Form of examination: oral examination (20-30 Min.)
  • Examination Frequency: irregular (by arrangement)
  • Examination number: 86409 ("Scientific Computing in Solid Mechanics")

Evaluation of grades

The grade of the module examination is also the module grade.


Contents

Mathematical modelling, numerical methods and software for the following topics:
  • elastic bodies,
  • special cases of beams and plane strain/stress state,
  • finite element space discretisation,
  • specific time integration schemes.

Competencies / intended learning achievements

Upon successful completion of this module, the students know and understand the fundamental concepts for the modelling and the numerical treatment of problems of solid mechanics. Moreover, they are able to use appropriate software and to implement their own extensions.

They have developed a skilled, precise and independent handling of the terms, propositions and methods taught in the lecture. They understand the proofs presented in the lecture and are able to reproduce and explain them. In particular, they can outline the conditions and assumptions that are necessary for the validity of the statements. They are able to apply the methods to new problems, to analyze them and to develop solution strategies.

Literature

  • D. Braess: Finite Elements,
  • P.G. Ciarlet: Mathematical Elasticity I,
  • T.J.R. Hughes: The Finite Element Method,
  • J. Marsden, T.J.R. Hughes: Mathematical Foundations of Elasticity.

References to Module / Module Number [MAT-81-19-M-7]

Module-Pool Name
[MAT-81-MPOOL-7] Specialisation Partial Differential Equations (M.Sc.)
[MAT-8x-MPOOL-7] Specialisation Modelling and Scientific Computing (M.Sc.)
[MAT-AM-MPOOL-7] Applied Mathematics (Advanced Modules M.Sc.)