Dieser Audiobeitrag wird von der Universität Erlangen-Nürnberg präsentiert.

Also zunächst mal willkommen hier zur Vorlesung Continuous Mechanic.

Okay, gut. Wir müssen uns gleich mal auf die Sprache einigen, glaube ich.

Gibt es hier Kollegen, die des Fränkischen nicht mächtig sind?

Sind die anderen alle hinreichend des Englischen mächtig?

Das Englische, sage ich mal, können wir machen, oder? Ist doch eine Zusatzqualifikation sozusagen.

Okay, let's try to go slowly with my command of English that I have.

Okay, so this is a lecture on nonlinear continuum mechanics,

which is a continuation of what we did last semester in the linear continuum mechanics.

This is a lecture, a two hours lecture, which is usually on Thursdays today,

and we have some extra dates, a couple, I guess four, on Wednesdays.

Okay, so, and then there is the classroom exercises here are usually also on Thursday afternoon,

so these are the dates here.

And here we listed for you a little bit the current schedule.

So today, I don't know, we are up here.

Okay, so the first lecture, then, okay, das ist jetzt nicht ganz konsistent hier.

Hier ist Montag und eben stand Donnerstag.

Okay, Monday means Thursday.

Okay, so we start today also with the exercises, and then next week, what is there?

Gründonnerstag.

Gründonnerstag, aha.

Okay, so there is a holiday apparently.

Okay, and then we go on, and then you see, since in summer semester there are so many

holidays on Thursdays, we have some extra dates here, four extra dates on Wednesdays

for you.

Okay, and then maybe that changes as we go, but this is essentially the plan for the dates

of the lecture and the exercises.

Okay, so now you wonder maybe what is the topic of nonlinear continuum mechanics.

If you participated in the last lecture, last semester's lecture on linear continuum mechanics,

then you already have an idea of what continuum mechanics is about, and there we essentially

did the assumption, maybe without saying it too much in the forefront, but the basic assumption

was that deformations of our bodies are small, and small of course is something we have somehow

to quantify, but all the deformations are supposed to be so small that they don't play

a dominant role when for instance we express equilibrium of bodies.

You can think that if a body deforms quite a bit, and then the forces also move with

this deformation, then of course once this deformation is large enough we cannot simply

neglect this deformation when we write the equilibrium, because then the position of

the forces has changed also.

Okay, that is good, that is a good assumption for many, many engineering applications.

For instance here in this building, if the deformations of the ceiling or the walls and

so on due to the loading that we have here by self-weight and so on would be large, then

you would not feel very happy here in this room.

If you would see the ceiling hanging through like that, you would think, who, bad design.

So in many, many applications small deformations are very well justified, because we by purpose

design constructions so that they deform strongly.

So why would we then need to take the pain to go into the non-linear continuum mechanics,

where apparently now we deal with strongly deforming bodies?

Because there is also a huge variety of problems in engineering where indeed deformations

can be quite large.

And then when we write the equilibrium equations for instance and all the other equations