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Applications of stochastic boundary element method to solids with uncertain geometry

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Computational Mechanics ’95
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Abstract

The stochastic boundary element method (cf. [1,2,4] is a numerical technique which is very suited to problems with uncertain geometry. For such problems the shape of an external boundary of a structure or the shape and position of internal defects are described by means of specified stochastic shape design parameters. The application of this approach to examining stresses, strains and displacements and in the general case an arbitrary functional with respect to stochastic shape of the boundary is presented.

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References

  1. T. Burczyński, Stochastic boundary element methods. Chapter 2 in J.H. Kane, G. Maier, N. Tosaka & S.N. Atluri (eds.), Advances in Boundary Element Techniques,: Springer-Verlag, Berlin & New York (1993), pp.30–54.

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  2. T. Burczyński, Stochastic boundary elements to analysis, shape design sensitivity and identification problems. Chapter 25 in A.H-D. Cheng & C.Y. Yang (eds.), Computational Stochastic Mechanics, CMP Southampton, Elsevier Applied Science, Essex (1993), pp.569–593.

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  3. T. Burczyński, Stochastic boundary element approach to shape design sensitivity analysis. Chapter 4 in M. Kleiber & T. Hisada (eds.), Design Sensitivity Analysis, Atlanta Technology Publications, Atlanta (1993), pp.68–92.

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  4. T. Burczyński, Stochastic boundary element methods: computational methodology and applications. In: Probabilistic Structural Mechanics: Advances in Structural Reliability Methods (eds. P.D. Spanos and Y.-T. Wu), Springer-Verlag, Berlin (1994), pp.42–55.

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  5. T. Burczyński, J.H. Kane, & C. Balakrishna, Shape design sensitivity analysis via material derivative-adjoint variable technique for 3-D and 2-D curved boundary elements, Int. Journal for Numerical Methods in Engineering (in press).

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© 1995 Springer-Verlag Berlin Heidelberg

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Burczyński, T. (1995). Applications of stochastic boundary element method to solids with uncertain geometry. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_444

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  • DOI: https://doi.org/10.1007/978-3-642-79654-8_444

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79656-2

  • Online ISBN: 978-3-642-79654-8

  • eBook Packages: Springer Book Archive

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