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Duality Applied to Elasticity

In: Functional Analysis and Applied Optimization in Banach Spaces

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  • Fabio Botelho

    (Federal University of Pelotas, Department of Mathematics and Statistics)

Abstract

Chapter 12 develops duality for a model in finite elasticity. The dual formulations obtained allow the matrix of stresses to be non positive or non negative definite. This is in some sense, an extension of earlier results (which establish the complementary energy as a perfect global optimization duality principle only if the stress tensor is positive definite at the equilibrium point). The results are based on standard tools of convex analysis and the concept of Legendre Transform.

Suggested Citation

  • Fabio Botelho, 2014. "Duality Applied to Elasticity," Springer Books, in: Functional Analysis and Applied Optimization in Banach Spaces, edition 127, chapter 0, pages 321-341, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-06074-3_12
    DOI: 10.1007/978-3-319-06074-3_12
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