๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Inflation and bifurcation of compressible spherical membranes

โœ Scribed by D. M. Haughton


Publisher
Springer Netherlands
Year
1982
Tongue
English
Weight
280 KB
Volume
12
Category
Article
ISSN
0374-3535

No coin nor oath required. For personal study only.

โœฆ Synopsis


The inflation and bifurcation of spherical membranes is considered. The membrane material is assumed to be isotropic and hyperelastic but may be arbitrarily compressible. Qualitatively the behaviour of compressible membranes is shown to be the same as that of incompressible membranes but specific forms of strain-energy functions are chosen to illustrate possible quantitative differences.


๐Ÿ“œ SIMILAR VOLUMES


Inflation and eversion of spherical shel
โœ Jeremiah G. Murphy ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 796 KB

A study is made of the qualitative features of the inflation of a shell of the so-called material of type II. This material has a strain energy function which is linear in i t , i 3 and arbitrary in i2, where i~, i2 and i 3 are the three principal invariants of the stretch tensors. For a specific fo

Bifurcation phenomena of a biphasic comp
โœ Y. Hollander; D. Durban ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 378 KB

A basic linear bifurcation problem is solved for a representative biphasic composite spherical cell. Setting is that of an internal inclusion that expends with an external shell made of a different material. Exact rate equations are derived in the framework of hyperelastic continuum mechanics. Sampl