Is there some theory to describe the constitutive relation of elastic membranes？There are lots of papers studying membranes mechanics of cells, but I just want to know the mechanics of ordinary membranes which are simplified from theories of plates and shells, can anyone tell me some papers or textbooks studying this?(I've found a brief description on Allan Bower's web page, but that's too brief...)
HelloI recommend the
Hello
I recommend the following documents:
1.
See Moita, G.F., Nonlinear finite element analysis of continua with
emphasis on hyperelasticity, PhD thesis, Imperial College, London,
1994. (The only way to get this is to contact the libraries at Imperial
College and purchase a copy and agree to nondisclosure of the thesis
either in print or electronically. But, this document explains exactly
what you want.)
2. See Nonlinear Finite Element Analysis of Solids and Structures,
by Crisfield, Volume 1. See pages 142 to 144 and elsewhere.
3. See Nonlinear Finite Element Analysis of Solids and Structures, by Crisfield, Volume 2. See pages 69 to 71, 81 to 84.
4. The post-critical analysis of axisymmetric hyper-elastic membranes by the finite element method Authors: J. S.; Moita G.F. Computer Methods in Applied Mechanics and Engineering,
Volume 135, Number 3, 1 September 1996
, pp. 265-281(17)
5. see also the document at following link:
http://erwanverron.files.wordpress.com/2011/04/2001-dynamic-inflation-o…
pay special attention also to the references of this document, see references 2 and 4.
regards,
Louie
Thank you very much,
Thank you very much, Professor Yaw. It's very kind of you to give me so many good suggestions and even point out the pages for me patiently. I think i will gain a lot from these docments.
best regards,
Yejie