Module Handbook

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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:

Course MV-TM-86025-K-7

Introduction to the Boundary Element Method (2V, 3.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
2 V Lecture 3.0 CP 28 h 62 h
(2V) 3.0 CP 28 h 62 h

Basedata

SWS 2V
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
Lecturers
Andrä, Heiko, Dr. habil. (EXT | DEPT: MV)
Area of study [MV-LTM] Applied Mechanics
Additional informations
Livecycle-State [NORM] Active

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

Materials

PDF-slides, lecture notes

Requirements for attendance (informal)

basic lectures in mechanics, continuummechanics

Requirements for attendance (formal)

None

References to Course [MV-TM-86025-K-7]

Module Name Context
[MV-TM-145-M-7] Introduction to the Boundary Element Method P: Obligatory 2V, 3.0 LP