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Uncertainties in Fracture Mechanics and Optimal Design Formulations

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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

Most investigations in the theory of optimal design of structures under strength constraints have been performed within a framework of the deterministic approach. That is, it is assumed that there is regular internal structure of material and that complete information is provided with regard to loading processes and boundary conditions. Corresponding optimal design formulations were typical for structures from elastic-plastic materials [Ban83, Pic88, HNT86, HA79, Ban81, Arm83, Aro89, EO83, HN88, HN96, Nei91, Hau81, HC81, Cea81, OR95, Pra72, Roz76, RK88, JM83, MU81].

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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

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  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 in Fracture Mechanics and Optimal Design Formulations. In: Structural Optimization with Uncertainties. Solid Mechanics and Its Applications, vol 162. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2518-0_5

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  • DOI: https://doi.org/10.1007/978-90-481-2518-0_5

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