A lower bound estimate of the critical load for compressible elastic solids
| Autor: | Aguinaldo Fraddosio, Roger Fosdick, Mario Daniele Piccioni, Pilade Foti |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2010 |
| Předmět: |
Critical loads
Hadamard stability Lower bound estimates Non-linear elasticity Critical load Mathematical analysis General Physics and Astronomy Monotonic function Simple extension Upper and lower bounds Structural load Mechanics of Materials Hadamard transform Hyperelastic material Compressibility General Materials Science Mathematics |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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