# 325.095 Finite Element Methods for Multi-Physics I This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_20",{id:"j_id_20",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});});

2019W, VU, 3.0h, 4.0EC

## Properties

• Semester hours: 3.0
• Credits: 4.0
• Type: VU Lecture and Exercise

## Learning outcomes

After successful completion of the course, students are able to

• explain the modelling assumptions necessary in the derivation of the governing partial differential equations (PDE)
• discuss the different coupling types and corresponding PDEs
• derive the coupled finite element equations via the weak form of the governing PDEs
• conduct simple simulations and critically assess the results

## Subject of course

The general procedure to solve coupled muli-field problems with the finite element method is explained. Different, simple couplings like forward coupling (e.g. heat conduction to solid mechanics), direct volume coupling (e.g. piezoelectricity) and interface coupling (e.g. solid mechanics and acoustics) are introduced.

Starting from the governing partial differential equations (PDEs) we explain how to derive a coupled finite element formulation via their weak formulation. The following coupling types are treated

• forward coupling between the temperature field (from heat conduction) to the mechanic field in which it causes thermal stresses
• direct volume coupling between electrostatic and mechanic field via the piezoelectric effect
• interface coupling between sold mechanics and acoustics

## Teaching methods

• Interactive lectures give an overview of the subject and highlight essential connections between topics,
• hands-on demonstrations of the software introduce the necessary tools to solve the illustrativ application examples
• pracitcal exercises increase the software skills and deepen the understaning of the covered physics
• regualr questions & answers sessions provide the opportunity to discuss problems with other students and teachers

Immanent

## Course dates

DayTimeDateLocationDescription
Wed10:00 - 12:0002.10.2019 - 29.01.2020Seminarraum BA 08B Vorlesung/Fragestunde
Finite Element Methods for Multi-Physics I - Single appointments
DayDateTimeLocationDescription
Wed02.10.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed09.10.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed16.10.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed23.10.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed30.10.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed06.11.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed13.11.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed20.11.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed27.11.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed04.12.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed11.12.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed18.12.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed08.01.202010:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed15.01.202010:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed22.01.202010:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed29.01.202010:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde

## Examination modalities

3 homework assignments, final test, and active participation during the course

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Wed - 27.01.2021written05.10.2020 23:59 - 20.01.2021 23:59TISSTest 2020W

## Course registration

Begin End Deregistration end
31.08.2019 00:00 11.10.2019 23:55 11.10.2019 23:55

Registration modalities:

Pleas sign up for the course in TISS.

## Literature

No lecture notes are available.

## Previous knowledge

The courses "Fundamentals of Finite Element Methods" can also be taken in parallel to this course in the same term.

## Language

if required in English