Book on the mathematical theory of continuum mechanics

[epr2008]

I was wondering if anyone knows of a good book on the mathematical theory of continuum mechanics.

I have looked online, and the only ones I can seem to find are like your average physics or applied mathematics book. I want something with rigorous theoretical formulation of the subject. It does not have to be concise, just straightforward and logically assembled. Preferably, it would also provide physical intuition on the subject, although this is not necessary since I can find other books for that.

Also, if you can, please list recommended prerequisites for tackling the book.

Any help would be greatly appreciated.

Thank you

 

[kevinferreira]

The Landau Lifschitz collection on theoretical physics has one volume or two ln continuum mechanics. The collection is a bit strange, at least on my view, when compared to other books, but it is worth a try, they are very good.

 

[afreiden]

What kind of continuum mechanics?
There are two great websites for solid mechanics:
1) http://utsv.net/solid-mechanics
2) http://solidmechanics.org/

I would also recommend the Malvern textbook. Again, that is if solid mechanics is your interest.

 

[jasonRF]

This is a nice set of chapters on classical physics, including elasticity:
http://www.pma.caltech.edu/Courses/ph136/yr2011/

If it isn't what you are looking for, at least the price is right!