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Uncertainties and Worst Case Scenarios

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Structural Optimization with Uncertainties

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 162))

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Abstract

In this section we describe details of problem formulation in abstract form. Let the behavioral system of differential equations with boundary conditions, described the equilibrium of an elastic body, be of the operator form $$L(u,h,q,\xi,\omega ) = 0$$ and is written in the domain Ω in n-dimensional space with boundary Γ = ∂Ω, where u, h, q are respectively the state variable, the design variable, the applied force and the functions ξ, ω characterize the material distribution along the body and the distribution of damages.

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Authors and Affiliations

  1. Inst. Problems in Mechanics Russian Academy of Sciences, Prospect Vernadskogo 101, Moskva, Russia, 117526

    N. V. Banichuk

  2. Dept. Mathematical Information Technology, University of Jyväskylä, FI-40351, Jyväskylä, Finland

    Pekka Neittaanmäki

Authors
  1. N. V. Banichuk
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  2. Pekka Neittaanmäki
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Correspondence to N. V. Banichuk .

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Banichuk, N.V., Neittaanmäki, P. (2010). Uncertainties and Worst Case Scenarios. In: Structural Optimization with Uncertainties. Solid Mechanics and Its Applications, vol 162. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2518-0_3

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  • DOI: https://doi.org/10.1007/978-90-481-2518-0_3

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-2517-3

  • Online ISBN: 978-90-481-2518-0

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