Skip to main content

Evolutionary Computation in Inverse Problems

  • Conference paper
IUTAM Symposium on Evolutionary Methods in Mechanics

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 117))

Abstract

Evolutionary computations in identification of multiple material defects (voids and cracks) in mechanical systems and identification of shape and position of a tumor region in the biological tissue domain are presented. The identification belongs to inverse problems and is treated here as an output (measurement) error minimization, which is solved using numerical optimization methods. The output error is defined in the form of a functional of boundary displacements or temperature fields. An evolutionary algorithm is employed to minimize of the functional. Numerical tests of internal defects identification and some anomalies in the tissue are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Burczy ski T. (ed.), Computational Sensitivity Analysis and Evolutionary Optimization of Systems with Geometrical Singularities, ZN KWMiMKM, Gliwice, 2002.

    Google Scholar 

  2. Burczy ski T., Beluch W., The identification of cracks using boundary elements and evolutionary algorithms. Engineering Analysis with Boundary Elements 25, 2001, pp. 313–322.

    Google Scholar 

  3. Burczy ski T., Beluch W., Dugosz A., Orantek P., Nowakowski M., Evolutionary methods in inverse problems of engineering mechanics. In: Inverse Problems in Engineering Mechanics II (eds. M. Tanaka and G. S. Dulikravich), Elsevier 2000, pp. 553–562.

    Google Scholar 

  4. Burczy ski T., Beluch W., Dugosz A., Ku W., Nowakowski M., Orantek P., Evolutionary computation in optimization and identification. Computer Assisted Mechanics and Engineering Sciences 9, 2002, pp. 3–20.

    Google Scholar 

  5. Burczy ski T., Bonnet M., Fedeli ski P., Nowakowski M., Sensitivityanalysis and identification of material defects in dynamical systems. Journal of Mathematical Modelling and Simulation in System Analysis SAMS, Vol. 42C4, 2002, pp. 559–574.

    Google Scholar 

  6. Burdina L.M. et al: Detection of Breast Cancer with Microwave Radiometry. N2, Mammology, 1998.

    Google Scholar 

  7. Jing Liu, Lisa X. Xu: Boundary information based diagnostics on the thermal states of biological bodies. Int. Jou. of Heat and Mass Transfer, vol. 43, 2000, pp. 2827–2839.

    Google Scholar 

  8. Majchrzak E., Mochnacki B., Szopa R.: Numerical analysis of temperature distribution in the skin tissue with a tumor. Proc. III Symp. Biomechanics in Implantology — Ustro 2001, Annales Academiae Medicae Silesiensis, Supl. 32, Katowice, 2001.

    Google Scholar 

  9. Majchrzak E., Drozdek J.: Modelling of temperature field in the skin tissue with a tumor using boundary element method. PPAM 2001 Workshop. Ed. E. Majchrzak, B. Mochnacki, R. Wyrzykowski, Czestochowa, 2001.

    Google Scholar 

  10. Michalewicz Z.: Genetic Algorithms + Data Structures = Evolutionary Programs, Springer Verlag, Berlin, 1996.

    Google Scholar 

  11. Stavroulakis G. E., Antes H., Flaw identification in elastodynamics. BEM simulation with local and genetic optimization. Structural Optimization 16, 1998, pp. 162–178.

    Google Scholar 

  12. Zienkiewicz O.C., Taylor R.L.: The Finite Element Method. 5th edition, Butterworth-Heinemann, Woburn, 2000.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Kluwer Academic Publishers

About this paper

Cite this paper

Burczyński, T., Majchrzak, E., Kuś, W., Orantek, P., Dziewoński, M. (2004). Evolutionary Computation in Inverse Problems. In: Burczyński, T., Osyczka, A. (eds) IUTAM Symposium on Evolutionary Methods in Mechanics. Solid Mechanics and Its Applications, vol 117. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2267-0_4

Download citation

  • DOI: https://doi.org/10.1007/1-4020-2267-0_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-2266-1

  • Online ISBN: 978-1-4020-2267-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics