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Development and test of a numerical model for pulse thermography in civil engineering

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Abstract

Pulse thermography of concrete structures is used in civil engineering for detecting voids, honeycombing and delamination. Quantitatively realistic numerical 3D simulation is difficult due to the arising boundary layer at the heated surface and unreliable information about material parameters and environmental conditions. We address both issues by a semi-analytic reformulation of the heat transport problem and by parameter identification. Numerical results are compared with measurements of a test specimen.

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Abbreviations

c :

Specific heat capacity distribution (J/kg K)

\(\bar{c}\) :

Surface averaged specific heat capacity (J/kg K)

C :

Radiation constant distribution (W/m2 K4)

\(\bar{C}\) :

Averaged radiation constant (W/m2 K4)

g :

Total boundary heat flux (W/m2)

h :

Heat transfer coefficient distribution (W/m2 K)

\(\bar{h}\) :

Averaged heat transfer coefficient (W/m2 K)

P 0 :

Steradial heating power density (W/m2)

Q 0 :

Power density of radiative heating (W/m2)

t :

Time (s)

t h :

Heating time (s)

T :

Temperature (K)

T amb :

Ambient temperature (K)

T ext :

External temperature distribution (K)

T 0 :

Initial temperature distribution (K)

x = (x1, x2, x3):

Spatial position (m)

κ:

Thermal conductivity distribution (W/m K)

\(\bar{\kappa}\) :

Surface averaged thermal conductivity (W/m K)

Ω:

Computational domain

Ω0 :

Heated front face of Ω

ρ:

Density distribution (kg/m3)

\(\bar{\rho}\) :

Surface averaged density (kg/m3)

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Acknowledgments

The authors would like to thank M. Zänker for contributing to Sect. 5 and C. Nowzohour for contributing to Sect. 3. Partial support by the DFG Research Center Matheon “Mathematics for key technologies”, project C25, is gratefully acknowledged.

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Authors and Affiliations

  1. Zuse Institute, Berlin, Germany

    Martin Weiser & Bodo Erdmann

  2. Bundesanstalt für Materialforschung und -prüfung, Berlin,  Germany

    Mathias Röllig

  3. FHWA NDE Center, Turner-Fairbank Highway Research Center,  McLean, USA

    Ralf Arndt

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  1. Martin Weiser
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  2. Mathias Röllig
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  3. Ralf Arndt
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  4. Bodo Erdmann
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Correspondence to Martin Weiser.

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Weiser, M., Röllig, M., Arndt, R. et al. Development and test of a numerical model for pulse thermography in civil engineering. Heat Mass Transfer 46, 1419–1428 (2010). https://doi.org/10.1007/s00231-010-0656-9

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