What shape does a deformed body take after being stretched?

[Vajhe]

Hi, I have a problem that I'm trying to solve and I'm not sure at all how can I proceed.

If we have a metal rectangle (or maybe a rectangle-shaped hole in a piece metal), and we stretch this body a small distance, what is the shape of the top and bottom lines of the body? Can we say it is a catenary? A parabole?

Can anyone lead to me to some good papers or books in the subject?

Thank in advance.

 

[Bystander]

Die Design Handbook, ASTE (Amer. Soc. of Tool Eng.).

 

[Nidum]

@Vajhe

The deformed shape of a plate depends on the initial shape , dimensions and material properties of the plate and on the system of forces applied to it .

There is extensive information available about how to analyse structural deformation problems .

What is the particular problem you want to solve ? Can you draw the plate and show how the forces act on it ?

 

[CWatters]

Punch the hole after stretching :-)