A procedure for obtaining a lower bound estimate of the critical load for a Mooney-Rivlin incompressible cylinder in uniaxial homogeneous deformation is presented. By considering a lower bound estimate for the second variation of the total energy functional based on the Korn inequality, we establish sufficient conditions for the infinitesimal Hadamardstability of a distorted configuration. We then sketch the procedure for determining an optimal lower bound estimate of the critical load in a uniaxial compressive loading process and discuss its effectiveness for applications by comparing our results to other estimates proposed in the literature.
Bounds from below of the Bifurcation Load in Uniaxial Deformation / Foti, P.; Fraddosio, A.; Marzano, S.; Piccioni, M. D.. - STAMPA. - 45:(2015), pp. 11-17. (Intervento presentato al convegno 11th International Conference on Applied and Theoretical Mechanics (MECHANICS ’15) tenutosi a Kuala Lumpur, Malaysia nel April 23-25, 2015).
Bounds from below of the Bifurcation Load in Uniaxial Deformation
P. Foti;A. Fraddosio;S. Marzano;M. D. Piccioni
2015-01-01
Abstract
A procedure for obtaining a lower bound estimate of the critical load for a Mooney-Rivlin incompressible cylinder in uniaxial homogeneous deformation is presented. By considering a lower bound estimate for the second variation of the total energy functional based on the Korn inequality, we establish sufficient conditions for the infinitesimal Hadamardstability of a distorted configuration. We then sketch the procedure for determining an optimal lower bound estimate of the critical load in a uniaxial compressive loading process and discuss its effectiveness for applications by comparing our results to other estimates proposed in the literature.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
