We consider an estimate of the lower bound for the critical load in a monotonic dead loading process for an isotropic compressible elastic solid. Within a constitutive class that includes many commonly used strain energy functions, we seek a lower bound on the Hadamard stability functional and develop an estimate of the lower bound for the critical load. As an example, we apply our estimate to the case of a simple shear loading process for a generalized Blatz – Ko material. Our result, albeit for a special (but reasonably broad) constitutive class, shows a significant improvement of the estimate of the lower bound as compared to other proposals contained in the literature.

A note on the estimate of critical loads for isotropic elastic solids

FOTI, Pilade;FRADDOSIO, Aguinaldo;PICCIONI, Mario Daniele
2008

Abstract

We consider an estimate of the lower bound for the critical load in a monotonic dead loading process for an isotropic compressible elastic solid. Within a constitutive class that includes many commonly used strain energy functions, we seek a lower bound on the Hadamard stability functional and develop an estimate of the lower bound for the critical load. As an example, we apply our estimate to the case of a simple shear loading process for a generalized Blatz – Ko material. Our result, albeit for a special (but reasonably broad) constitutive class, shows a significant improvement of the estimate of the lower bound as compared to other proposals contained in the literature.
3rd Canadian Conference on Nonlinear Solid Mechanics, CanCNSM
978-1-55058-399-1
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11589/21034
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