Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MV

Notes on the module handbook of the department Mechanical and Process Engineering

Die hier dargestellten veröffentlichten Studiengang-, Modul- und Kursdaten des Fachbereichs Maschinenbau und Verfahrenstechnik ersetzen die Modulbeschreibungen im KIS und wuden mit Ausnahme folgender Studiengänge am 28.10.2020 verabschiedet.

Ausnahmen:

Module MV-TM-145-M-7

Introduction to the Boundary Element Method (M, 3.0 LP)

Module Identification

Module Number Module Name CP (Effort)
MV-TM-145-M-7 Introduction to the Boundary Element Method 3.0 CP (90 h)

Basedata

CP, Effort 3.0 CP = 90 h
Position of the semester 1 Sem. in SuSe
Level [7] Master (Advanced)
Language [DE/EN] German or English as required
Module Manager
Lecturers
Area of study [MV-LTM] Applied Mechanics
Reference course of study [MV-88.808-SG] M.Sc. Computational Engineering
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 MV-TM-86025-K-7
Introduction to the Boundary Element Method
P 28 h 62 h - - PL1 3.0 SuSe
  • About [MV-TM-86025-K-7]: Title: "Introduction to the Boundary Element Method"; Presence-Time: 28 h; Self-Study: 62 h

Examination achievement PL1

  • Form of examination: oral examination (30-45 Min.)
  • Examination Frequency: each semester
  • Examination number: 10025 ("Introduction to Boundary Elements")

Evaluation of grades

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


Contents

  • Variational principles of elasticity
  • Singular and hypersingular boundary integral equations for elasticity and thermal conduction problems
  • Collocation and Galerkin discretization
  • Numerical solution of integral equations
  • Solution of elastoplastic notch and crack problems with boundary element method (BEM)
  • Implementation of BEM algorithms
  • Coupling of finite element method (FEM) and BEM

Competencies / intended learning achievements

The students will be able to
  • derive and explain representation formulas
  • compute fundamental solutions
  • derive and explain boundary integral equations for elasticity problems
  • describe and compare solution algorithms (especially collocation and Galerkin methods) for boundary integral equations
  • apply the BEM to crack and notch problems

Literature

  • J.H. Kane: Boundary Element Analysis in Engineering Continuum Mechanics, Prentice Hall, New Jersey, 1994
  • H. Andrä: Einführung in moderne Galerkin-Randelementmethoden mit einer Anwendung aus dem Maschinenbau, Forschung im Ing.-Wesen 65, 1999, 58-90

Requirements for attendance (informal)

basic lectures in mechanics, continuummechanics

Requirements for attendance (formal)

None

References to Module / Module Number [MV-TM-145-M-7]

Module-Pool Name
[MV-ALL-MPOOL-6] Wahlpflichtmodule allgemein
[MV-CE-MPOOL-6] Wahlpflichtmodule Computational Engineering