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Shape determination of 3-D reinforcement corrosion in concrete based on observed temperature on concrete surface

  • Received : 2009.07.26
  • Accepted : 2010.01.20
  • Published : 2010.02.25

Abstract

We present the shape determination method of 3-D reinforcement corrosion based on observed temperature on concrete surface. The non-destructive testing for reinforcement corrosion in concrete using a heat image on concrete surface have been proposed by Oshita. The position of the reinforcement of corrosion or the cavity can be found using that method. However, the size of those defects can not be precisely measured based on the heat image. We therefore proposed the numerical determination system of the shape for the reinforcement corrosion using the observed temperature on the concrete surface. The adjoint variable method is introduced to formulate the shape determination problem, and the finite element method is employed to simulate the heat transfer problem. Some numerical experiments and the examination for the number of the observation points are shown in this paper.

Keywords

References

  1. Azegami, H. and Takeuchi, K. (2006), "A smoothing method for shape optimization: traction method using the robin condition", Int. J. Comput. Meth., 3(1), 21-33. https://doi.org/10.1142/S0219876206000709
  2. Bostock, M.G. (2002), "Kirchhoff-approximate inversion of teleseismic wavefields", Geo. J. Int., 149, 787-795. https://doi.org/10.1046/j.1365-246X.2002.01687.x
  3. Challis, Vivien J. and Guest, James K. (2009), "Level set topology optimization of fluids in stokes flow", Int. J. Numer. Meth. Eng., 79, 1284-1308. https://doi.org/10.1002/nme.2616
  4. Dimet, F.X.L., Navon, I.M. and Daescu, D.N. (2002), "Second order information in data assimilation", Mon. Weather Rev., 130(3), 629-648. https://doi.org/10.1175/1520-0493(2002)130<0629:SOIIDA>2.0.CO;2
  5. Gunzbuger, M.D., Hou, L.S., Manservisi, S. and Yan, Y. (1998), "Computation of optimal controls for imcompressible flow", Int. J. Comput. Fluid Dyn., 11, 181-191. https://doi.org/10.1080/10618569808940872
  6. He, J.W., Glowinski, R., Metacalfe, R. and Periaux, J. (1998), "A numerical approach to the control and stabilization of advection-diffusion systems: application to viscous drag reduction", Int. J. Comput. Fluid Dyn., 11, 131-156. https://doi.org/10.1080/10618569808940869
  7. Jameson, A. and Kim, S. (2003), "Reduction of the adjoint gradient formula in the continuous limit", 41st AIAA Aero. Sci. Meet., AIAA 2003-0040.
  8. Khalaj-Amirhosseini, M., Hodjat-Kashani, F. and Kamarei, M. (2008), "Reconstruction of the shape and location of arbitrary homogeneous objects using sequentially incidences", Microw. Opt. Techn. Let., 50(5), 1248-1251. https://doi.org/10.1002/mop.23334
  9. Kreibig, R., Benedix, U., Gorke, U.J. and Lindner, M. (2007), "Identification and estimation of constitutive parameters for material lows in elastplasticity", GAMM-Mitt., 30(2), 458-480. https://doi.org/10.1002/gamm.200790027
  10. Langenberg, K.J. (1989), "Introduction to the special issue on inverse problem", Wave Motion, 11, 99-112. https://doi.org/10.1016/0165-2125(89)90031-0
  11. Luo, Zhen and Tong, Liyong (2008), "A level set method for shape and topology optimization of largedisplacement compliand mechanism", Int. J. Numer. Meth. Eng., 76, 863-892.
  12. Ogawa, Y. and Kawahara, M. (2003), "Shape optimization of body located in incompressible viscous flow based on optimal control theory", Int. J. Comput. Fluid Dyn., 17(4), 243-251. https://doi.org/10.1080/1061856031000135091
  13. Pironneau, O. (1973), "On optimum profiles in stokes flow", J. Fluid Mech., 59(1), 117-128. https://doi.org/10.1017/S002211207300145X
  14. Pironneau, O. (1974), "On optimum design in fluid mechanics", J. Fluid Mech., 64(1), 97-110. https://doi.org/10.1017/S0022112074002023
  15. Sakawa, Y. and Shindo, Y. (1980), "On global convergence of an algorithm for optimal control", IEEE T. Automat. Contr., ac-25(6), 1149-1153. https://doi.org/10.1109/TAC.1980.1102517
  16. Taniguchi, O., Shigematsu, B., Horie, H. and Oshita, H. (2008), "Application of thermography to detection of internal defects in reinforced concrete by heat charge due to electromagnetic induction", J. JSCE(E), 64(1), 173-185.
  17. Yagi, H. and Kawahara, M. (2007), "Optimal shape determination of a body located in incompressible viscous fluid flow", Comput. Method. Appl. M., 196(49), 5084-5091. https://doi.org/10.1016/j.cma.2007.07.008

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