We determine lower bound estimates for the critical load for hyperelastic solids under monotonic dead load processes. By considering the Hadamard criterion of infinitesimal stability, we first determine a lower bound for the Hadamard stability functional; then, we develop a procedure for optimal lower bound estimates for the critical load. As examples, we apply our procedure to generalized Blatz-Ko solids under simple extension, simple compression and rectilinear shear, and compare our results with other proposals contained in the literature
A lower bound estimate of the critical load for compressible elastic solids / Fosdick, R.; Foti, Pilade; Fraddosio, Aguinaldo; Piccioni, Mario Daniele. - In: CONTINUUM MECHANICS AND THERMODYNAMICS. - ISSN 0935-1175. - 22:2(2010), pp. 77-97. [10.1007/s00161-009-0133-1]
A lower bound estimate of the critical load for compressible elastic solids
FOTI, Pilade;FRADDOSIO, Aguinaldo;PICCIONI, Mario Daniele
2010-01-01
Abstract
We determine lower bound estimates for the critical load for hyperelastic solids under monotonic dead load processes. By considering the Hadamard criterion of infinitesimal stability, we first determine a lower bound for the Hadamard stability functional; then, we develop a procedure for optimal lower bound estimates for the critical load. As examples, we apply our procedure to generalized Blatz-Ko solids under simple extension, simple compression and rectilinear shear, and compare our results with other proposals contained in the literatureI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
