3D Elasticity Theory
3D Elasticity Theory
(OP)
Hello,
I am looking for a book that has a good foundation on mechanics of materials of orthotropic and anisotropic materials. Specifically I am looking for a book which introduces characteristic matrices, stress tensors, strain tensors, etc. of anisotropic materials. My limited understanding is that some materials may require up to 21 constants to properly define their elastic behavior. I understand that most likely there is not one book which can be the end all resource for rigourously introducing this topic, however, does anyone know of a book which can start with the definition of poisson's ratio, hooks law, etc. and develop matrix correlation of material behavior in 3D of materials as complicated as being anisotropic? I don't mind spending up to $200 for a good book if it contains a well ordered, logical, and rigorous development of the 3D theory of elasticity. Or if someone knows of a set of books to accomplish this please let me know. I am studying fiber reinforced composite materials and need to fill in a gap between elementary mechanics of materials (isotropic only) taught at an undergraduate level back many years ago to full out 3D elasticity theory of anisotropic materials. Thank you for any advice and recommendations you may be able to supply.
I am looking for a book that has a good foundation on mechanics of materials of orthotropic and anisotropic materials. Specifically I am looking for a book which introduces characteristic matrices, stress tensors, strain tensors, etc. of anisotropic materials. My limited understanding is that some materials may require up to 21 constants to properly define their elastic behavior. I understand that most likely there is not one book which can be the end all resource for rigourously introducing this topic, however, does anyone know of a book which can start with the definition of poisson's ratio, hooks law, etc. and develop matrix correlation of material behavior in 3D of materials as complicated as being anisotropic? I don't mind spending up to $200 for a good book if it contains a well ordered, logical, and rigorous development of the 3D theory of elasticity. Or if someone knows of a set of books to accomplish this please let me know. I am studying fiber reinforced composite materials and need to fill in a gap between elementary mechanics of materials (isotropic only) taught at an undergraduate level back many years ago to full out 3D elasticity theory of anisotropic materials. Thank you for any advice and recommendations you may be able to supply.





RE: 3D Elasticity Theory
Start here: Books on Finite Element Method (FAQ727-384).
Best regards,
Matthew Ian Loew
Please see FAQ731-376 for tips on how to make the best use of Eng-Tips Fora.
RE: 3D Elasticity Theory
"Mechanics of Composite Materials" by Robert M. Jones
On the other hand, most elasticity books give a good foundation of 3D stress and strain theory, but do not devote much (if any) attention to anisotropic problems. However, you may find it useful to read a little about elasticity if you've only studied mechanics of materials before. A very good elasticity book that is available as an inexpensive Dover paperback is:
"Elasticity: Tensor, Dyadic, and Engineering Approaches" by P.C. Chou & N.J. Pagano
If you want to get more advanced, you could read about continuum mechanics, which considers stresses and strains from a more general viewpoint, and covers fluids as well as solids. Schaum's has a inexpensive outline for this:
"Schaum's Outline of Continuum Mechanics" by George Mase.
You could say that mechanics of materials is a simplification of elasticity and elasticity is a specialization of continuum mechanics.
If you REALLY want anisotropic elasticity, here is a book which I have not seen, and therefore cannot recommend, but may be of interest to you:
"Anisotropic Elasticity: Theory and Applications" by C.T. Ting
Good Luck!
RE: 3D Elasticity Theory
The reviews on Amazon aren't flattering, but I learned from it.
Rob Campbell, PE
Finite Monkeys - www.livejournal.com/users/robcampbell
RE: 3D Elasticity Theory