๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Coupled instabilities for a thick elastic plate under thrust

โœ Scribed by Konstantinos A. Lazopoulos

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
646 KB
Volume
35
Category
Article
ISSN
0020-7683

No coin nor oath required. For personal study only.

โœฆ Synopsis

For a thick incompressible hyperelastic plate under biaxial thrust, flexural and constitutive (homogeneous) instabilities are considered. In the present study their interaction (coupling) is discussed, when the critical conditions coincide for both kinds of instabilities. With the help of branching theory, especially the Fredholm Alternative theorem, the interactive post-critical equilibrium configurations are defined.

๐Ÿ“œ SIMILAR VOLUMES

Stability of a thick elastic plate under
Stability of a thick elastic plate under thrust
โœ K. N. Sawyers; R. S. Rivlin ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 920 KB

When a rectangular plate of incompressible neo-Hookean elastic material is subjected to a thrust, bifurcations of the flexural or barreling types become possible at certain critical values of the compression ratio. The states of pure homogeneous deformation corresponding to these critical compressio

A DYNAMIC MODEL FOR THICK ELASTIC PLATES
A DYNAMIC MODEL FOR THICK ELASTIC PLATES
โœ Zeng Deshun; W. Hauger; M. Matthes; S. Schreiber ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 152 KB

In this paper the general equations of motion for thick elastic plates with arbitrary shape are derived by using a variational principle. In addition to the influences of the bending, the transverse shear deformation and the rotatory inertia, the proposed theory also contains the effects of the tran