# 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_21",{id:"j_id_21",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_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2023W 2022W 2021W 2020W 2019W 2018W

2022W, VU, 3.0h, 4.0EC

## Properties

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

## 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

## Mode of examination

Immanent

For details pelase join the TUWEL course

## Course dates

DayTimeDateLocationDescription
Wed10:00 - 12:0012.10.2022 - 25.01.2023GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums Lecture | Demonstration | Questions&Answers
Thu09:00 - 11:0027.10.2022GM 3 Vortmann Hörsaal - VT Lecture | Demonstration | Questions&Answers
Finite Element Methods for Multi-Physics I - Single appointments
DayDateTimeLocationDescription
Wed12.10.202210:00 - 12:00GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums Lecture | Demonstration | Questions&Answers
Wed19.10.202210:00 - 12:00GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums Lecture | Demonstration | Questions&Answers
Thu27.10.202209:00 - 11:00GM 3 Vortmann Hörsaal - VT Lecture | Demonstration | Questions&Answers
Wed09.11.202210:00 - 12:00GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums Lecture | Demonstration | Questions&Answers
Wed16.11.202210:00 - 12:00GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums Lecture | Demonstration | Questions&Answers
Wed23.11.202210:00 - 12:00GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums Lecture | Demonstration | Questions&Answers
Wed30.11.202210:00 - 12:00GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums Lecture | Demonstration | Questions&Answers
Wed07.12.202210:00 - 12:00GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums Lecture | Demonstration | Questions&Answers
Wed14.12.202210:00 - 12:00GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums Lecture | Demonstration | Questions&Answers
Wed21.12.202210:00 - 12:00GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums Lecture | Demonstration | Questions&Answers
Wed11.01.202310:00 - 12:00GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums Lecture | Demonstration | Questions&Answers
Wed18.01.202310:00 - 12:00GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums Lecture | Demonstration | Questions&Answers
Wed25.01.202310:00 - 12:00GM 8/9 - Hörsaal des Internationalen Wiener Motorensymposiums Lecture | Demonstration | Questions&Answers

## Examination modalities

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

## Course registration

Begin End Deregistration end
03.09.2022 00:00 14.10.2022 23:55 14.10.2022 23:55

## Curricula

Study CodeObligationSemesterPrecon.Info
066 393 Interdisciplinary Mathematics Not specified
066 445 Mechanical Engineering Not specified
066 445 Mechanical Engineering Not specified
Course requires the completion of the introductory and orientation phase
066 473 Chemical and Process Engineering Mandatory elective
066 482 Mechanical Engineering - Management Not specified
066 482 Mechanical Engineering - Management Not specified
Course requires the completion of the introductory and orientation phase
066 646 Computational Science and Engineering Not specified
066 646 Computational Science and Engineering Not specified
066 646 Computational Science and Engineering Not specified

## Literature

No lecture notes are available.

## Previous knowledge

The lecture Fundamentals of Finite Element Methods can also be taken in parallel in the same term.

English