317.528 Continuum Mechanics of Solids
This course is in all assigned curricula part of the STEOP.
This course is in at least 1 assigned curriculum part of the STEOP.

2021S, UE, 2.0h, 2.0EC
TUWEL

Properties

  • Semester hours: 2.0
  • Credits: 2.0
  • Type: UE Exercise
  • Format: Distance Learning

Learning outcomes

After successful completion of the course, students are able to

  • solve theoretical problems regarding continuum mechanics of solid bodies by means of mathematical foundations (tensor algebra and analysis)
  • apply various strain measures to practical problems and know how to use them properly
  • apply displacment-strain relations for large deformations
  • compute strains for a given displacement field
  • apply various stress measures to practical problems and know how to use them properly
  • compute the stresses in a body as a consequence of the external loading by means of balance equations
  • apply simple constitutive laws (incompressible hyperelastic isotropic materials) to practical problems
  • differentiate between plane stress and plane strain assumptions

Subject of course

Application of theory of continuum mechanics of solid bodies (see VO) on practical problems.

The content of the exercise is split into 7 subchapters:

1) Mathematical foundations

  • Linear algebra (only repitition, basics are required, e.g. as matrix multiplications, calculation of the determinante, calculation of the inverse of a matrix, solving an eigenvalue problem etc.)
  • Tensor algebra
  • Tensor analysis
  • Transformation of coordinates

2) Kinematics of continuum I

  • Motion, velocity and acceleration in material and spatial description

3) Kinematics of continuum II

  • Deformation gradient, displacement gradient
  • Stretch tensors, strain tensors, principal stretch tensor etc.

4) Kinetics of continuum

  • Traction vectors, stress tensors, principal stress tensors, axes of principal stresses etc.

5) Balance principles

  • Conservation of mass and principle of linear momentum

6) Constitutive equations

  • Influence of linearization on constitutive equations
  • Incompressible hyperelastic isotropic materials

7) Plane stress and plane strain

  • Elasticity matrices for plane stress and plane strain

 

Teaching methods

In the style of an "Inverted Classroom". Examples are presented. A short review of the necessary theory (from the VO) is given. The whole exercise is split into 7 learning portion.

Examples will be provided via TUWEL approx. one week before the particular exercise and should be self-studied beforehand. In the corresponding exercise you can compare your results to the ones presented in videos which will then be available in TUWEL. If any questions arise you can use the corresponding forum. After finishing a learning portion, there will be held a Zoom-Meeting where you can participate if you have any further questions.

There are more examples within the collection of examples than it is possible to present on the blackboard within the time frame of the exercise. These examples can be self-studied in order to prepare for the exams.

The exercises are based on the theory lectured on the corresponding VO! The exercises will only be fruitful, if you partcipate in parallel in the VO or you are familiar with basics of continuum mechanics (due to the application of the theoretical methods on practical problems).

Mode of examination

Immanent

Additional information

Die Vorbesprechung findet am 03.03.2021 - 12:00Uhr via ZOOM statt. Den Link zum Meeting sowie weitere Informationen sind dem TUWEL-Kurs zu entnehmen.

Lecturers

Institute

Course dates

DayTimeDateLocationDescription
Wed12:00 - 14:0003.03.2021 - 23.06.2021 ZOOM Meeting (LIVE)LVA Termine
Continuum Mechanics of Solids - Single appointments
DayDateTimeLocationDescription
Wed03.03.202112:00 - 14:00 ZOOM MeetingVorbesprechung (Link zu Meeting in TUWEL)
Wed10.03.202112:00 - 14:00 ZOOM MeetingLVA Termine
Wed17.03.202112:00 - 14:00 ZOOM MeetingLVA Termine
Wed24.03.202112:00 - 14:00 ZOOM MeetingLVA Termine
Wed14.04.202112:00 - 14:00 ZOOM MeetingLVA Termine
Wed21.04.202112:00 - 14:00 ZOOM MeetingLVA Termine
Wed28.04.202112:00 - 14:00 ZOOM MeetingLVA Termine
Wed05.05.202112:00 - 14:00 ZOOM MeetingLVA Termine
Wed12.05.202112:00 - 14:00 ZOOM MeetingLVA Termine
Wed19.05.202112:00 - 14:00 ZOOM MeetingLVA Termine
Wed26.05.202112:00 - 14:00 ZOOM MeetingLVA Termine
Wed02.06.202112:00 - 14:00 ZOOM MeetingLVA Termine
Wed09.06.202112:00 - 14:00 ZOOM MeetingLVA Termine
Wed16.06.202112:00 - 14:00 ZOOM MeetingLVA Termine
Wed23.06.202112:00 - 14:00 ZOOM MeetingLVA Termine

Examination modalities

Two written exams, duration a 90min, collection of formulas can be used

Course registration

Begin End Deregistration end
25.02.2021 12:00 07.04.2021 12:00 05.05.2021 23:00

Curricula

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

Literature

No lecture notes are available.

Previous knowledge

Basics of matrix calculations

Basics of mechanics

Language

German