Skip to main content

Inverse Analysis: Introduction

  • Chapter
  • First Online:
Book cover Inverse Analyses with Model Reduction

Part of the book series: Computational Fluid and Solid Mechanics ((COMPFLUID))

Abstract

Numerical simulations have been established as a powerful tool used in practically all fields of engineering and science. A large number of commercial codes is developed to solve the, so-called direct problems (or forward problems), which consist of finding the solution in terms of response fields when a complete set of input data defining uniquely the solution is known. Since these codes require the knowledge of some parameters on which the solution depends, sometime in engineering practice it is required to solve an inverse problem, defined as the one where some of the “effects” (responses) are known but not some of the “causes” leading to them, namely parameters on which the system depends. These problems are tackled within, relatively young and still growing scientific branch which in modern literature (e.g. [1–3]) is found under the name of Inverse Analyses.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

References

  1. Groetsch, C.W.: Inverse Problems: Activities for Undergraduates. The Mathematical Association of America, Washington, D.C. (1999)

    MATH  Google Scholar 

  2. Liu, G.R., Han, X.: Computational Inverse Techniques in Nondestructive Evaluation. CRC Press, Boca Raton (2003)

    Book  MATH  Google Scholar 

  3. Tarantola, A.: Inverse Problem Theory and Methods for Model Parameter Estimation. Society for Industrial and Applied Mathematics, Philadelphia (2005)

    Book  MATH  Google Scholar 

  4. Ostrowski, Z., Bialecki, R.A., Kassab, A.J.: Estimation of constant thermal conductivity by use of proper orthogonal decomposition. Comput. Mech. 37(1), 52–59 (2005)

    Article  MATH  Google Scholar 

  5. Yu, G., Wen, P.A., Wang, H.: An inverse method to determine boundary temperature and heat flux for a 2D steady state heat conduction problem. Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Informational in Engineering Conference (IDETC/CIE 2008), New York. Paper number DETC2008-49811, pp. 1087–1093 (2008)

    Google Scholar 

  6. Li, W., Krist, S.A., Compabell, R.: Transonic airfoil shape optimization in preliminary design environment. Proceedings of 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Albany. Paper number AIAA 2004-4629, pp. 3650–3671 (2004)

    Google Scholar 

  7. Sobieczky, H.: Knowledge based aerodynamic optimization. Proceedings of 4th SST CFD Workshop, Tokyo, pp. 1–6 (2006)

    Google Scholar 

  8. Wang, B.T., Chiu, C.H.: Determination of unknown impact force acting on a simply supported beam. Mech. Syst. Signal Process. 17(3), 683–704 (2003)

    Article  Google Scholar 

  9. Borsic, A., Comina, C., Foti, S., Lancellotta, R., Musso, G.: Imaging heterogeneities with electrical impedance tomography: laboratory results. Geotechnique 55(7), 539–547 (2005)

    Article  Google Scholar 

  10. Damasceno, V., Fratta, D.: Monitoring chemical diffusion in a porous media using electrical resistivity tomography. ASCE Geotech. Spec. Publ. (GSP) 149, 174–181 (2006)

    Google Scholar 

  11. Oliver, W.C., Pharr, G.M.: An improved techniques for determining hardness elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 176–181 (1992)

    Article  Google Scholar 

  12. Jager, A., Lackner, R., Eberhardsteiner, J.: Identification of viscoelastic properties by means of nanoindentation taking the real tip geometry into account. Int. J. Theor. Appl. Mech. AIMETA 42(3), 293–306 (2007)

    Google Scholar 

  13. Nakamura, T., Wang, T., Sampath, S.: Determination of properties of graded materials by inverse analysis and instrumented indentation. Acta Mater. 48, 4293–4306 (2000)

    Article  Google Scholar 

  14. Van Vliet, K.J., Gouldstone, A.: Mechanical properties of thin films quantified via instrumented indentation. Surf. Eng. 17(2), 140–145 (2001)

    Article  Google Scholar 

  15. Maier, G., Bocciarelli, M., Bolzon, G., Fedele, R.: Inverse analyses in fracture mechanics. Int. J. Fract. 138, 47–73 (2006)

    Article  MATH  Google Scholar 

  16. Fedele, R., Maier, G.: Flat-jack test and inverse analysis for the identification of stress and elastic properties in concrete dams. Meccanica 42, 387–402 (2007)

    Article  MATH  Google Scholar 

  17. Fedele, R., Maier, G., Miller, B.: Identification of elastic stiffness and local stresses in concrete dams by in situ tests and neural networks. Struct. Infrastruct. Eng. 1(3), 165–180 (2005)

    Article  Google Scholar 

  18. Chen, X., Ogasawara, N., Zhao, M., Chiba, N.: On the uniqueness of measuring elastoplastic properties from indentation: the indistinguishable mystical materials. J. Mech. Phys. Solids 55(8), 1618–1660 (2007)

    Article  MATH  Google Scholar 

  19. Bolzon, G., Maier, G., Panico, M.: Material model calibration by indentation, imprint mapping and inverse analysis. Int. J. Solids Struct. 41, 2957–2975 (2004)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vladimir Buljak .

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Buljak, V. (2012). Inverse Analysis: Introduction. In: Inverse Analyses with Model Reduction. Computational Fluid and Solid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22703-5_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-22703-5_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22702-8

  • Online ISBN: 978-3-642-22703-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics