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Shape identification problems on detecting of defects in a solid body using inverse heat conduction approach

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Abstract

In this paper, a new shape identification method in the inverse heat conduction problem (IHCP) is applied to detect the location and size of defects in a solid body. Different defects are modeled in a solid body as an elliptical geometry whose parameters are estimated with a proposed inverse algorithm. The inverse algorithm consists of direct, inverse analysis, and gradient-based optimization method. The direct analysis is used a finite-element method in an unstructured grid system to solve the direct heat conduction problem. The inverse analysis is based on recording temperatures data on surface of solid body that calculates the objective function. The employed gradient-based optimization method is constructed using the adjoint, sensitivity, and conjugate gradient method (Powell-Beal’s version) that are used to calculate the gradient of objective function, step size, and minimizing the objective function, respectively. The effects of different noisy temperature data, different cavities on some domains, and different type of defects such as poor cure, porosity, and crack are investigated in this work. The results show that this proposed inverse algorithm is more efficient in detection of defects.

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Authors and Affiliations

  1. Department of Aerospace Engineering, K.N. Toosi University of Technology, Tehran, Iran

    Hamid Fazeli & Masoud Mirzaei

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  1. Hamid Fazeli
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  2. Masoud Mirzaei
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Correspondence to Hamid Fazeli.

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Recommended by Associate Editor Jae Dong Jung

Hamid Fazeli received his B.S. in Mechanical Engineering from Shahid Bahonar University of Kerman, Iran in 2006. He then received his M.S. in Aerospace Engineering from K. N. Toosi university of Technology Tehran, Iran in 2009. His research interests include fluid mechanics, CFD, aerodynamics and heat transfer.

Masoud Mirzaei received B.S. degree in Mechanical Engineering from Isfahan University of technology, Iran in 1989. He then received his M.S. degree in Thermal Fluid Engineering from Amirkabir University of Technology in 1992. In 1994, he was accepted as a Ph.D. student in Tarbiat Modarres University, Iran, and graduated in 1999. He was employed by K. N. Toosi University of Technology in 2000 as faculty member of aerospace department. His research interests include fluid mechanics, aerodynamics, CFD, and heat transfer.

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Fazeli, H., Mirzaei, M. Shape identification problems on detecting of defects in a solid body using inverse heat conduction approach. J Mech Sci Technol 26, 3681–3690 (2012). https://doi.org/10.1007/s12206-012-0842-4

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  • DOI: https://doi.org/10.1007/s12206-012-0842-4

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