# 325.095 Finite Element for Multi-Physics I This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_1y",{id:"j_id_1y",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_20",{id:"j_id_20",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});});

2018W, VU, 3.0h, 4.0EC

## Properties

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

## Aim 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. Upon successfull completion of the course students can:

• 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

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

## Course dates

DayTimeDateLocationDescription
Wed10:00 - 12:0003.10.2018 - 30.01.2019Seminarraum BA 08B Vorlesung/Fragestunde
Finite Element for Multi-Physics I - Single appointments
DayDateTimeLocationDescription
Wed03.10.201810:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed10.10.201810:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed17.10.201810:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed24.10.201810:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed31.10.201810:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed07.11.201810:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed14.11.201810:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed21.11.201810:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed28.11.201810:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed05.12.201810:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed12.12.201810:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed19.12.201810:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed09.01.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed16.01.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed23.01.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde
Wed30.01.201910:00 - 12:00Seminarraum BA 08B Vorlesung/Fragestunde

## Examination modalities

Students must complete 3 homework examples during the semester (20 points each). Additionally, there will be a final written test at the end of the semester (40 points).

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Wed10:00 - 12:0029.01.2020GM 2 Radinger Hörsaal assessed30.11.2019 00:00 - 21.01.2020 23:59TISSTest

## Course registration

Begin End Deregistration end
01.09.2018 00:00 12.10.2018 23:55 12.10.2018 23:55

Registration modalities:

## Curricula

Study CodeSemesterPrecon.Info
033 245 Mechanical Engineering
Course requires the completion of the introductory and orientation phase
033 282 Mechanical Engineering - Management
Course requires the completion of the introductory and orientation phase
066 445 Mechanical Engineering
066 445 Mechanical Engineering
066 482 Mechanical Engineering - Management
066 482 Mechanical Engineering - Management

## Literature

No lecture notes are available.

## Language

if required in English