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Beams and Plates with Brittle-Fracture Constraints

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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

Consider the problem of optimal design of a beam taking into account the possibility of crack appearance at the beam surfaces. We assume that the beam of length L lies along the x-axis (0 ≤ xL) and that it has a rectangular cross-section with height h = h(x) and constant width b.

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References

  1. K. Hellan. Introduction to Fracture Mechanics, Mc Graw-Hill Inc., New York, 1984

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  2. J. W. Hutchinson. A Course of Nonlinear Fracture Mechanics, Technical University of Denmark, Copenhagen, Lyngby, 1979

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  3. N. V. Banichuk. Problems and Methods of Optimal Structural Design. Number 26 in Mathematical Concepts and Methods in Science and Engineering. Plenum Press, New York, 1983

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  4. N. V. Banichuk. Introduction to Optimization of Structures. Springer-Verlag, New York, 1990

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Correspondence to N. V. Banichuk .

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Banichuk, N.V., Neittaanmäki, P. (2010). Beams and Plates with Brittle-Fracture Constraints. In: Structural Optimization with Uncertainties. Solid Mechanics and Its Applications, vol 162. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2518-0_6

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  • DOI: https://doi.org/10.1007/978-90-481-2518-0_6

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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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