In the present paper we study the possibility for elastic solids to support bifurcating periodic deformations reminiscent of the classical planar Couette and Taylor-Couette instabilities observed for fluids. The analysis is performed for an infinitely long isotropic compressible elastic block confined between and attached to parallel plates which are subject to a relative shear displacement. We show through numerical examples that the planar Couette instability mode is always “preferred” with respect to the Taylor-Couette mode. Finally, we briefly study the stability of the fundamental deformation and discuss some features of the bifurcating solutions.
Planar Couette and Taylor-like instabilities for compressible elastic solids / Foti, P; Fraddosio, A; Marzano, S; Piccioni, M. - STAMPA. - (2008), pp. 139-146. (Intervento presentato al convegno Second Euro Mediterranean Symposium on Advances in Geomaterials and Structures tenutosi a Hammamet (Tunisia) nel 5-7 maggio 2008).
Planar Couette and Taylor-like instabilities for compressible elastic solids
Foti, P;Fraddosio, A;Marzano, S;Piccioni, M
2008-01-01
Abstract
In the present paper we study the possibility for elastic solids to support bifurcating periodic deformations reminiscent of the classical planar Couette and Taylor-Couette instabilities observed for fluids. The analysis is performed for an infinitely long isotropic compressible elastic block confined between and attached to parallel plates which are subject to a relative shear displacement. We show through numerical examples that the planar Couette instability mode is always “preferred” with respect to the Taylor-Couette mode. Finally, we briefly study the stability of the fundamental deformation and discuss some features of the bifurcating solutions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
