We study the possibility for an isotropic, compressible, elastic hollow cylinder to support axially periodic twist-like bifurcating modes induced by pure circular shearing states. The determination of critical loads corresponding to such modes is obtained by employing a procedure based on the Magnus expansion for approximate exponential solutions of linear systems of ordinary differential equations with varying coefficients
On the emergence of periodic bifurcating modes for a compressible hollow cylinder / Foti, Pilade; Fraddosio, Aguinaldo; Marzano, Salvatore; Piccioni, Mario Daniele - In: Applications of Nonlinear Continuum Mechanics in Civil and in Materials Engineering / F. DARVE, R. ELFATMI, H. ZENZRI, H. HASSIS, G. DEL PIERO. - [s.l], 2010. - pp. 77-82
On the emergence of periodic bifurcating modes for a compressible hollow cylinder
FOTI, Pilade;FRADDOSIO, Aguinaldo;MARZANO, Salvatore;PICCIONI, Mario Daniele
2010-01-01
Abstract
We study the possibility for an isotropic, compressible, elastic hollow cylinder to support axially periodic twist-like bifurcating modes induced by pure circular shearing states. The determination of critical loads corresponding to such modes is obtained by employing a procedure based on the Magnus expansion for approximate exponential solutions of linear systems of ordinary differential equations with varying coefficientsI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
