# 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

2020W, VU, 3.0h, 4.0EC

## Properties

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

## 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 - 12:0007.10.2020 - 27.01.2021 zoom - see TUWEL course (LIVE)Lecture | Demonstration | Questions&Answers
Finite Element Methods for Multi-Physics I - Single appointments
DayDateTimeLocationDescription
Wed07.10.202010:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers
Wed14.10.202010:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers
Wed21.10.202010:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers
Wed28.10.202010:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers
Wed04.11.202010:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers
Wed11.11.202010:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers
Wed18.11.202010:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers
Wed25.11.202010:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers
Wed02.12.202010:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers
Wed09.12.202010:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers
Wed16.12.202010:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers
Wed13.01.202110:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers
Wed20.01.202110:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers
Wed27.01.202110:00 - 12:00 zoom - see TUWEL courseLecture | Demonstration | Questions&Answers

## Examination modalities

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

## Course registration

Begin End Deregistration end
05.09.2020 00:00 16.10.2020 23:55 16.10.2020 23:55

## Curricula

Study CodeObligationSemesterPrecon.Info
033 245 Mechanical Engineering Mandatory elective
Course requires the completion of the introductory and orientation phase
033 282 Mechanical Engineering - Management Mandatory elective
Course requires the completion of the introductory and orientation phase
066 393 Mathematical Modelling in Engineering: Theory, Numerics, Applications Not specified
066 445 Mechanical Engineering Not specified
066 445 Mechanical Engineering Not specified
066 445 Mechanical Engineering Not specified
066 482 Mechanical Engineering - Management Not specified
066 482 Mechanical Engineering - Management Not specified
066 482 Mechanical Engineering - Management Not specified
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 courses "Fundamentals of Finite Element Methods" can also be taken in parallel to this course in the same term.

## Language

if required in English