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Sensitivity Analysis, Optimization and Inverse Problems

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Boundary Element Advances in Solid Mechanics

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 440))

Abstract

This chapter is devoted to the application of the boundary element method (BEM) to sensitivity analysis, optimization and inverse problems of solid mechanics. A few approaches of sensitivity analysis based on the boundary element formulation are presented. The influence of the geometry change in external or internal boundaries on displacements, stresses and natural frequencies and various kinds of functionals is presented. Applications of sensitivity analysis information and BEM to optimization for different optimality criteria and to defect identification are considered. Evolutionary computations based on boundary element models of structures are applied for various problems of topology and shape optimization. The optimization of elastic and thermoelastic structures and elastoplastic and cracked solids under static and dynamic loads is considered. Solutions of a class of inverse problems for identification of voids and cracks and searching optimal boundary conditions are presented. Several numerical examples and tests are included.

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Author information

Authors and Affiliations

  1. Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Poland

    Tadeusz Burczyński

  2. Institute of Computer Modelling, Cracow University of Technology, Poland

    Tadeusz Burczyński

Authors
  1. Tadeusz Burczyński
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Editor information

Editors and Affiliations

  1. University of Patras, Greece

    Dimitri Beskos

  2. Technical University of Milan, Italy

    Giulio Maier

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© 2003 Springer-Verlag Wien

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Burczyński, T. (2003). Sensitivity Analysis, Optimization and Inverse Problems. In: Beskos, D., Maier, G. (eds) Boundary Element Advances in Solid Mechanics. International Centre for Mechanical Sciences, vol 440. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2790-2_6

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  • DOI: https://doi.org/10.1007/978-3-7091-2790-2_6

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-00378-7

  • Online ISBN: 978-3-7091-2790-2

  • eBook Packages: Springer Book Archive

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