A lower bound estimate of the critical load for compressible elastic solids

作者：Fosdick Roger^*; Foti Pilade; Fraddosio Aguinaldo; Piccioni Mario Daniele

来源：Continuum Mechanics and Thermodynamics, 2010, 22(2): 77-97.

DOI：10.1007/s00161-009-0133-1

• Non-linear elasticity
• Hadamard stability
• Lower bound estimates
• Critical loads

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.

• 出版日期2010-2