Identification of epidermis thickness on the basis of skin surface temperature

• Autorzy: Majchrzak E. , Jasiński M.
• Konferencja: Biomechanika'06 / Międzynarodowa Konferencja (06-08.09.2006 ; Zakopane, Polska)
• Języki publikacji: EN

Abstrakty

EN

Heat transfer in the skin tissue treated as a multi - layer domain in which one can distinguish the epidermis, dermis and subcutaneous region is described by the system of Pennes equations and adequate boundary, initial and geometrical conditions. Many of the parameters used in the mathematical model are difficult to measure, e.g. epidermis or dermis thickness. In the paper the numerical algorithm of epidermis thickness identification is presented in which the knowledge of skin surface temperature is assumed. The least squares criterion containing the differences between known and calculated temperatures is used and the gradient method of inverse problem solution is applied. The basic problem and additional one connected with the sensitivity function determination are solved using the boundary element method. In the final part of the paper the results of computations are shown.

Słowa kluczowe

EN

heat transfer; epidermis thickness; skin temperature; mathematical model; boundary elements method

PL

wymiana ciepła; grubość naskórka; temperatura skóry; model matematyczny; metoda elementów brzegowych

• Wydawca: Wydawnictwo Katedry Mechaniki Stosowanej
• Czasopismo: Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
• Rocznik: 2006
• Tom: z. 26
• Strony: 219--224
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Majchrzak E.

autor

Jasiński M.

• Department for Strength of Materials and Computational Mechanics Silesian University of Technology

Bibliografia

• [1] Brebbia C. A., Dominguez J.: Boundary elements, an introductory course, Computational Mechanics Publications, McGraw - Hill Book Company, London 1992.
• [2] Dems K.: Sensitivity analysis in thermal problems - II: structure shape variation, Journal of Thermal Stresses, 10,1987, pp. 1-16.
• [3] Kleiber M.: Parameter sensitivity in nonlinear mechanics, J. Wiley & Sons, Chichester, 1997.
• [4] Kurpisz K., Nowak A. J.: Inverse thermal problems, Computational Mechanics Publications, Southampton, Boston, 1995.
• [5] Majchrzak E.: Boundary element method in heat transfer, Publ. of Czestochowa University of Technology, Czestochowa, 2001 (in Polish).
• [6] Majchrzak E., Jasiński M.: Sensitivity analysis of bums integrals. Computer Assisted Mechanics and Engineering Sciences, Vol. 11, No 2/3, 2004, pp. 125-136.
• [7] Majchrzak E., Jasiński M., Kahiza G.: Sensitivity analysis of bums integrals with respect to the geometrical parameters of skin, l5th International Conference on Computer Methods in Mechanics CMM-2003, Gliwice/Wisła, June 3 - 6, 2003, CD-ROM Proceedings, ISBN-83-914632-4-9, pp. 1-6.
• [8] Torvi D. A., Dale J. D.: A finite element model of skin subjected to a flash fire. Journal of Mechanical Engineering 1994, 116, pp. 250-255.