Compressive stress propagation in a plate ..

[sintez]

Hi.

 

 

Does anyone know what is a distance the compressive stress propagate in a horizontal isotropic plate whilst a plate is loaded horizontally.

 

The compressive load is applied to the right edge of a plate by a cylindrical indenter. The left plate's edge is fixed.

 

Laws, formulas, principles ..

 

Thanks in advance.

[studiot]

The last time I tried this on one of our dinner plates my wife gave me earache because the plate buckled due to lack of information.

 

[sintez]

This appears to be a right place to submit the questions akin to these though the jokes are not welcome. A stated point is important in a highest extent to a researcher.

 

 

[studiot]

In which case the said researcher who uses such fancy terms as "compressive stress propagate in a horizontal isotropic plate " should supply without being asked, enough information for an answer to be supplied.

 

Here is an answer,

 

St Vennant.

 

Does it help?

[sintez]

.. in part .. thanks

[studiot]

Here is another possible answer

 

Coulomb stress

 

But we could go on all night.

 

You surely realise that the answer to your question depends upon the shape of the plate edge and the shape of the indenter, their stiffnesses and dimensions?

Edited July 3, 2012 by studiot

[sintez]

Indenter is cylindrically-shaped, the plate's edge might be assumed to be flat in the most cases I consider. The plate is semi-infinite in a length and infinite in a width, though a ratio between indenter's diameter and a plate's thickness is much higher than one.

[studiot]

Well I suppose you could use Boussinesq's method.

 

This link uses only real analysis. It can also be realised using conformal mapping.

 

http://osp.mans.edu.eg/geotechnical/Ch2.htm

[sintez]

Thank you, that's precisely I intended to find.