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 literature.
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Communicated by L. Truskinovsky.
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Fosdick, R., Foti, P., Fraddosio, A. et al. A lower bound estimate of the critical load for compressible elastic solids. Continuum Mech. Thermodyn. 22, 77–97 (2010). https://doi.org/10.1007/s00161-009-0133-1
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DOI: https://doi.org/10.1007/s00161-009-0133-1