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
2010

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 coefficients
Applications of Nonlinear Continuum Mechanics in Civil and in Materials Engineering
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11589/10933
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