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Brittle and Quasi-Brittle Materials

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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

The optimization problems considered in this section consist in finding the shape and the thickness distribution of axisymmetric shells in the framework of membrane theory, loaded by fixed statical forces in such a way that the cost functional reaches a maximum, while satisfying some strength mechanics constraints. In this section the mass effectiveness of the shell is considered as a cost functional, and as constraints we use bounds on the maximum normal stresses; this is typical for shells made from brittle or quasi-brittle materials. Analytical investigations and corresponding optimal solutions are presented [BRS08].

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References

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Correspondence to N. V. Banichuk .

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Banichuk, N.V., Neittaanmäki, P. (2010). Brittle and Quasi-Brittle Materials. In: Structural Optimization with Uncertainties. Solid Mechanics and Its Applications, vol 162. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2518-0_9

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  • DOI: https://doi.org/10.1007/978-90-481-2518-0_9

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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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