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.
|Titolo:||A note on the estimate of critical loads for isotropic elastic solids|
|Data di pubblicazione:||2008|
|Nome del convegno:||3rd Canadian Conference on Nonlinear Solid Mechanics, CanCNSM|
|Appare nelle tipologie:||4.1 Contributo in Atti di convegno|