Application Of 3D Heat Diffusion To Detect
Embedded Empty Cracks
Author(s)
C. Serra, A. Tadeu, J. Prata & N. Simões
Abstract
This paper presents a three-dimensional boundary element model (BEM),
formulated in the frequency domain, to simulate the heat diffusion by conduction
that occurs in the vicinity of a three-dimensional crack. The crack is assumed to
have null thickness and does not allow diffusion of energy, so the heat fluxes are
null along its boundary. The crack is assumed to be embedded in an unbounded
medium. The boundary element formulation is written in terms of normalderivative
integral equations (known as TBEM) in order to handle null thickness
cracks. The resulting hypersingular integrals are solved analytically.
After verifying the TBEM results by means of known analytical solutions for
cylindrical inclusions, the applicability of the proposed methodology is shown by
simulating the heat diffusion generated by a point heat source placed in the
vicinity of a crack. The size of the crack, its orientation and the position of the
source are some of the variables that are analyzed to define features that may be
used in non-destructive testing by infrared thermography.
Keywords: transient heat conduction, 3D sources, infrared thermography.
1 Introduction
Heat and moisture diffusion is sensitive to the presence of defects, hence thermal
pattern images of building elements collected via Infrared Thermography (IRT)
have proven to be useful in detecting heat losses, missing or damaged insulation,
thermal bridges, air leakages and excess moisture [1, 2] and for testing the
integrity of composites [3, 4]. IRT is mostly used as a qualitative nondestructive
testing technique, however solving inverse heat conduction problems
Keywords
transient heat conduction, 3D sources, infrared thermography.
Related Book
Other papers in this volume
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