Efficiency of the Needle Probe Test for Evaluation of Thermal Conductivity of Composite Materials: Two-Scale Analysis

[1] MOHSENIN N.N., Thermal properties of foods and agricultural materials, Gordon and Breach, New York, 1980.Search in Google Scholar

[2] CARSLAW H.S., JAEGER J.C., Conduction of heat in solids, Clarendon Press, Oxford, 1959.Search in Google Scholar

[3] RICHE F., SCHNEEBELI M., Microstructural change around a needle probe to measure thermal conductivity of snow, Journal of Glaciology, 2010, Vol. 56, No. 199.10.3189/002214310794457164Search in Google Scholar

[4] FONTANA A.J., VERITH J., IKEDIALA J., REYES J., WACKER B., Thermal properties of selected foods using dual needle heat-pulse sensor, written for Presentation at the 1999 ASAE/CSAE-SCGR Annual International Meeting, Toronto, Ontario Canada, July 18-21, 1999.Search in Google Scholar

[5] HANSON J.L., EDIL T.B., YESILLER N., Thermal properties of high water content materials, Geotechnics of High Water Content Materials, ASTM D5334-05 STP 1374, T.B. Edil, P.J. Fox (eds.), ASTM D5334-05 International, West Conshohocken, PA, 2000, 137-151.Search in Google Scholar

[6] RÓŻAŃSKI A., SOBÓTKA M., On the interpretation of the needle probe test results: thermal conductivity measurement of clayey soils, Studia Geotechnica and Mechanica, 2013, Vol. 35, No.1, 195-207.10.2478/sgem-2013-0015Search in Google Scholar

[7] NICOLAS J., ANDR’E P., RIVEZ J.F., DEBBAUT V., Thermal conductivity measurements in soil using an instrument based on the cylindrical probe method, Review of Scientific Instruments, 1993, Vol. 64, No. 3, 774-780.10.1063/1.1144158Search in Google Scholar

[8] KD2 Pro Thermal Properties Analyzer Operator’s Manual, Version 10, Decagon Devices, Inc., 2011.Search in Google Scholar

[9] SUQUET P., Elements of homogenization for inelastic solid mechanics, [in:] Homogenization technique for composite media, Lecture notes in Physics, Vol. 272, Springer, 1987.Search in Google Scholar

[10] ŁYDŻBA D., Applications of asymptotic homogenization method in soil and rock mechanics, Scientific Papers of the Institute of Geotechnics and Hydrotechnics of the Wroclaw University of Technology, 2002 (in Polish).Search in Google Scholar

[11] ŁYDŻBA D., Effective properties of composites: Introduction to Micromechanics, Wroclaw University of Technology, PRINTPAP, Wroclaw, 2011.Search in Google Scholar

[12] MILTON G.W., The theory of composites, Cambridge University Press, 2002.10.1017/CBO9780511613357Search in Google Scholar

[13] FlexPDE, User Guide Version 5.0, PDE Solutions Inc., 2005.Search in Google Scholar

[14] Wolfram Mathematica 7, Wolfram Research, Inc., 2009.Search in Google Scholar

[15] ABRAMOVITZ M., STEGUN I. A., Handbook of mathematical functions, Dover Publications Inc., New York, 1972.Search in Google Scholar