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2020 | OriginalPaper | Chapter

1. Heat Conduction and Moisture Diffusion Theories

Authors : Prof. Dr. Zengtao Chen, Dr. Abdolhamid Akbarzadeh

Published in: Advanced Thermal Stress Analysis of Smart Materials and Structures

Publisher: Springer International Publishing

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Abstract

The design of high performance micro/macro-scale composite structures working at high temperature and humidity environmental conditions needs an accurate heat and moisture transfer analysis through the solid structure.

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Literature
1.
go back to reference Sih GC, Michopoulos J, Chou S-C (1986) Hygrothermoelasticity. Springer, BerlinCrossRef Sih GC, Michopoulos J, Chou S-C (1986) Hygrothermoelasticity. Springer, BerlinCrossRef
2.
go back to reference Brischetto S (2013) Hygrothermoelastic analysis of multilayered composite and sandwich shells. J Sandwich Struct Mater 15(2):168–202CrossRef Brischetto S (2013) Hygrothermoelastic analysis of multilayered composite and sandwich shells. J Sandwich Struct Mater 15(2):168–202CrossRef
3.
go back to reference Carslaw HS, Jaeger JC (1959) Conduction of heat in solids. Oxord at the Clarendon Press, Great BritainMATH Carslaw HS, Jaeger JC (1959) Conduction of heat in solids. Oxord at the Clarendon Press, Great BritainMATH
4.
go back to reference Ozisik MN (1980) Heat conduction. Wiley, New York Ozisik MN (1980) Heat conduction. Wiley, New York
6.
go back to reference Wang L, Zhou X, Wei X (2008) Heat conduction: mathematical models and analytical solutions. Springer, Berlin, HeidelbergMATH Wang L, Zhou X, Wei X (2008) Heat conduction: mathematical models and analytical solutions. Springer, Berlin, HeidelbergMATH
7.
go back to reference Lienhard JH (2008) A heat transfer text book. Phlogiston Press, Cambridge, MA Lienhard JH (2008) A heat transfer text book. Phlogiston Press, Cambridge, MA
9.
go back to reference Cengel YA, Boles MA (2006) Thermodynamics: an engineering approach, 5th edn. McGraw-Hill, Boston Cengel YA, Boles MA (2006) Thermodynamics: an engineering approach, 5th edn. McGraw-Hill, Boston
10.
go back to reference Hetnarski RB, Eslami MR (2008) Thermal stresses-advanced theory and applications: advanced theory and applications, vol 158. Springer, BerlinMATH Hetnarski RB, Eslami MR (2008) Thermal stresses-advanced theory and applications: advanced theory and applications, vol 158. Springer, BerlinMATH
12.
go back to reference Bejan A (1988) Advanced engineering thermodynamics. Wiley, New York Bejan A (1988) Advanced engineering thermodynamics. Wiley, New York
13.
go back to reference Clausius R (1865) On different forms of the fundamental equations of the mechanical theory of heat and their convenience for application. Physics (Leipzig) 125:313 Clausius R (1865) On different forms of the fundamental equations of the mechanical theory of heat and their convenience for application. Physics (Leipzig) 125:313
14.
go back to reference Rankine WJM (1869) On the thermal energy of molecular vortices. Trans R Soc Edinburgh 25:557–566MATHCrossRef Rankine WJM (1869) On the thermal energy of molecular vortices. Trans R Soc Edinburgh 25:557–566MATHCrossRef
15.
go back to reference Tian Z, Lee S, Chen G (2014) A comprehensive review of heat transfer in thermoelectric materials and devices. Ann Rev Heat Transf 17:425–483CrossRef Tian Z, Lee S, Chen G (2014) A comprehensive review of heat transfer in thermoelectric materials and devices. Ann Rev Heat Transf 17:425–483CrossRef
16.
go back to reference Tzou DY (1996) Macro-to micro-scale heat transfer: the lagging behavior. CRC Press, Boca Raton Tzou DY (1996) Macro-to micro-scale heat transfer: the lagging behavior. CRC Press, Boca Raton
17.
18.
go back to reference Theodore L (2011) Heat transfer application for the practicing engineer. Wiley, Hoboken, NJCrossRef Theodore L (2011) Heat transfer application for the practicing engineer. Wiley, Hoboken, NJCrossRef
19.
go back to reference Corral M (2008) Vector calculus. Michael Corral Corral M (2008) Vector calculus. Michael Corral
20.
go back to reference Arpaci VS (1966) Conduction heat transfer. Addison-Wesley, ReadingMATH Arpaci VS (1966) Conduction heat transfer. Addison-Wesley, ReadingMATH
21.
go back to reference Baher HD, Stephan K (2006) Heat and mass transfer, 2nd edn. Springer, BerlinCrossRef Baher HD, Stephan K (2006) Heat and mass transfer, 2nd edn. Springer, BerlinCrossRef
22.
go back to reference Akbarzadeh AH, Pasini D (2014) Phase-lag heat conduction in multilayered cellular media with imperfect bonds. Int J Heat Mass Transf Akbarzadeh AH, Pasini D (2014) Phase-lag heat conduction in multilayered cellular media with imperfect bonds. Int J Heat Mass Transf
23.
go back to reference Chen T (2001) Thermal conduction of a circular inclusion with variable interface parameter. Int J Solids Struct 38(17):3081–3097MATHCrossRef Chen T (2001) Thermal conduction of a circular inclusion with variable interface parameter. Int J Solids Struct 38(17):3081–3097MATHCrossRef
24.
go back to reference Chandrasekharaiah D (1998) Hyperbolic thermoelasticity: a review of recent literature. Appl Mech Rev 51(12):705–729CrossRef Chandrasekharaiah D (1998) Hyperbolic thermoelasticity: a review of recent literature. Appl Mech Rev 51(12):705–729CrossRef
25.
go back to reference Akbarzadeh AH (2013) Multiphysical behaviour of functionally graded smart structures. Department of Mechanical Engineering, University of New Brunswick, Fredericton, NB, Canada Akbarzadeh AH (2013) Multiphysical behaviour of functionally graded smart structures. Department of Mechanical Engineering, University of New Brunswick, Fredericton, NB, Canada
26.
go back to reference Antaki P (1995) Key features of analytical solutions for hyperbolic heat conduction Antaki P (1995) Key features of analytical solutions for hyperbolic heat conduction
27.
go back to reference Babaei MH (2009) Multiphysics analysis of functionally graded piezoelectrics. University of New Brunswick, Canada Babaei MH (2009) Multiphysics analysis of functionally graded piezoelectrics. University of New Brunswick, Canada
28.
go back to reference Cattaneo C (2011) Sulla conduzione del calore. In: Some aspects of diffusion theory. Springer, Berlin, pp 485–485CrossRef Cattaneo C (2011) Sulla conduzione del calore. In: Some aspects of diffusion theory. Springer, Berlin, pp 485–485CrossRef
29.
go back to reference Vernotte P (1958) Les paradoxes de la theorie continue de l’equation de la chaleur. Comptes rendus de l’academie bulgare des sciences: sciences mathematiques et naturelles 246:3154–3155MATH Vernotte P (1958) Les paradoxes de la theorie continue de l’equation de la chaleur. Comptes rendus de l’academie bulgare des sciences: sciences mathematiques et naturelles 246:3154–3155MATH
30.
go back to reference Zhou L et al (2008) Electrical-thermal switching effect in high-density polyethylene/graphite nanosheets conducting composites. J Mater Sci 43(14):4886–4891CrossRef Zhou L et al (2008) Electrical-thermal switching effect in high-density polyethylene/graphite nanosheets conducting composites. J Mater Sci 43(14):4886–4891CrossRef
31.
32.
go back to reference Godoy S, García-Colín L (1997) Nonvalidity of the telegrapher’s diffusion equation in two and three dimensions for crystalline solids. Phys Rev E 55(3):2127CrossRef Godoy S, García-Colín L (1997) Nonvalidity of the telegrapher’s diffusion equation in two and three dimensions for crystalline solids. Phys Rev E 55(3):2127CrossRef
33.
go back to reference Körner C, Bergmann H (1998) The physical defects of the hyperbolic heat conduction equation. Appl Phys A 67(4):397–401CrossRef Körner C, Bergmann H (1998) The physical defects of the hyperbolic heat conduction equation. Appl Phys A 67(4):397–401CrossRef
34.
go back to reference Xu F, Seffen K, Lu T (2008) Non-Fourier analysis of skin biothermomechanics. Int J Heat Mass Transf 51(9):2237–2259MATHCrossRef Xu F, Seffen K, Lu T (2008) Non-Fourier analysis of skin biothermomechanics. Int J Heat Mass Transf 51(9):2237–2259MATHCrossRef
35.
go back to reference Tzou DY (1995) The generalized lagging response in small-scale and high-rate heating. Int J Heat Mass Transf 38(17):3231–3240CrossRef Tzou DY (1995) The generalized lagging response in small-scale and high-rate heating. Int J Heat Mass Transf 38(17):3231–3240CrossRef
36.
go back to reference Tzou D (1995) A unified field approach for heat conduction from macro-to micro-scales. J Heat Transfer 117(1):8–16CrossRef Tzou D (1995) A unified field approach for heat conduction from macro-to micro-scales. J Heat Transfer 117(1):8–16CrossRef
37.
go back to reference Tzou DY (1995) Experimental support for the lagging behavior in heat propagation. J Thermophys Heat Transfer 9(4):686–693CrossRef Tzou DY (1995) Experimental support for the lagging behavior in heat propagation. J Thermophys Heat Transfer 9(4):686–693CrossRef
38.
go back to reference Akbarzadeh A, Chen Z (2012) Heat conduction in one-dimensional functionally graded media based on the dual-phase-lag theory. Proc Inst Mech Eng, Part C: J Mech Eng Sci 227(4):744–759CrossRef Akbarzadeh A, Chen Z (2012) Heat conduction in one-dimensional functionally graded media based on the dual-phase-lag theory. Proc Inst Mech Eng, Part C: J Mech Eng Sci 227(4):744–759CrossRef
39.
go back to reference Qiu T, Tien C (1992) Short-pulse laser heating on metals. Int J Heat Mass Transf 35(3):719–726CrossRef Qiu T, Tien C (1992) Short-pulse laser heating on metals. Int J Heat Mass Transf 35(3):719–726CrossRef
40.
go back to reference Qiu T, Tien C (1993) Heat transfer mechanisms during short-pulse laser heating of metals. J Heat Transfer 115(4):835–841CrossRef Qiu T, Tien C (1993) Heat transfer mechanisms during short-pulse laser heating of metals. J Heat Transfer 115(4):835–841CrossRef
41.
go back to reference Akbarzadeh A, Pasini D (2014) Phase-lag heat conduction in multilayered cellular media with imperfect bonds. Int J Heat Mass Transf 75:656–667CrossRef Akbarzadeh A, Pasini D (2014) Phase-lag heat conduction in multilayered cellular media with imperfect bonds. Int J Heat Mass Transf 75:656–667CrossRef
42.
go back to reference Tzou DY, Dai W (2009) Thermal lagging in multi-carrier systems. Int J Heat Mass Transf 52(5):1206–1213MATHCrossRef Tzou DY, Dai W (2009) Thermal lagging in multi-carrier systems. Int J Heat Mass Transf 52(5):1206–1213MATHCrossRef
43.
go back to reference Lord HW, Shulman Y (1967) A generalized dynamical theory of thermoelasticity. J Mech Phys Solids 15(5):299–309MATHCrossRef Lord HW, Shulman Y (1967) A generalized dynamical theory of thermoelasticity. J Mech Phys Solids 15(5):299–309MATHCrossRef
46.
go back to reference Choudhuri SR (2007) On a thermoelastic three-phase-lag model. J Therm Stresses 30(3):231–238CrossRef Choudhuri SR (2007) On a thermoelastic three-phase-lag model. J Therm Stresses 30(3):231–238CrossRef
47.
go back to reference Ezzat MA, El-Bary AA, Fayik MA (2013) Fractional fourier law with three-phase lag of thermoelasticity. Mech Adv Mater Struct 20(8):593–602CrossRef Ezzat MA, El-Bary AA, Fayik MA (2013) Fractional fourier law with three-phase lag of thermoelasticity. Mech Adv Mater Struct 20(8):593–602CrossRef
48.
49.
go back to reference Green A, Naghdi P (1885) A re-examination of the basic postulates of thermomechanics. Proc R Soc London. Ser A: Math Phys Sci 432:171–194MathSciNetMATHCrossRef Green A, Naghdi P (1885) A re-examination of the basic postulates of thermomechanics. Proc R Soc London. Ser A: Math Phys Sci 432:171–194MathSciNetMATHCrossRef
50.
go back to reference Akbarzadeh A, Fu J, Chen Z (2014) Three-phase-lag heat conduction in a functionally graded hollow cylinder. Trans Can Soc Mech. Eng 38(1):155–171CrossRef Akbarzadeh A, Fu J, Chen Z (2014) Three-phase-lag heat conduction in a functionally graded hollow cylinder. Trans Can Soc Mech. Eng 38(1):155–171CrossRef
51.
go back to reference Dzieliński A, Sierociuk D, Sarwas G (2010) Some applications of fractional order calculus. Bull Polish Acad Sci: Tech Sci 58(4):583–592MATH Dzieliński A, Sierociuk D, Sarwas G (2010) Some applications of fractional order calculus. Bull Polish Acad Sci: Tech Sci 58(4):583–592MATH
52.
go back to reference Podlubny I (1998) Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications, vol 198. Academic press, New York Podlubny I (1998) Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications, vol 198. Academic press, New York
53.
go back to reference Stiassnie M (1979) On the application of fractional calculus for the formulation of viscoelastic models. Appl Math Model 3(4):300–302MATHCrossRef Stiassnie M (1979) On the application of fractional calculus for the formulation of viscoelastic models. Appl Math Model 3(4):300–302MATHCrossRef
54.
go back to reference Ezzat MA, El Karamany AS, Fayik MA (2012) Fractional order theory in thermoelastic solid with three-phase lag heat transfer. Arch Appl Mech 82(4):557–572MATHCrossRef Ezzat MA, El Karamany AS, Fayik MA (2012) Fractional order theory in thermoelastic solid with three-phase lag heat transfer. Arch Appl Mech 82(4):557–572MATHCrossRef
55.
go back to reference Jumarie G (2010) Derivation and solutions of some fractional Black–Scholes equations in coarse-grained space and time. Application to Merton’s optimal portfolio. Comput Math Appl 59(3):1142–1164MathSciNetMATHCrossRef Jumarie G (2010) Derivation and solutions of some fractional Black–Scholes equations in coarse-grained space and time. Application to Merton’s optimal portfolio. Comput Math Appl 59(3):1142–1164MathSciNetMATHCrossRef
56.
go back to reference Youssef HM (2010) Theory of fractional order generalized thermoelasticity. J Heat Transf 132(6):061301CrossRef Youssef HM (2010) Theory of fractional order generalized thermoelasticity. J Heat Transf 132(6):061301CrossRef
57.
go back to reference Kimmich R (2002) Strange kinetics, porous media, and NMR. Chem Phys 284(1):253–285CrossRef Kimmich R (2002) Strange kinetics, porous media, and NMR. Chem Phys 284(1):253–285CrossRef
58.
go back to reference Povstenko YZ (2004) Fractional heat conduction equation and associated thermal stress. J Therm Stresses 28(1):83–102MathSciNetCrossRef Povstenko YZ (2004) Fractional heat conduction equation and associated thermal stress. J Therm Stresses 28(1):83–102MathSciNetCrossRef
60.
go back to reference Tzou D, Guo Z-Y (2010) Nonlocal behavior in thermal lagging. Int J Therm Sci 49(7):1133–1137CrossRef Tzou D, Guo Z-Y (2010) Nonlocal behavior in thermal lagging. Int J Therm Sci 49(7):1133–1137CrossRef
61.
go back to reference Akbarzadeh AH, Cui Y, Chen ZT (2015) Non-local fractional phase-lag heat conduction: continuum to molecular dynamic simulation. Appl Phys Lett Akbarzadeh AH, Cui Y, Chen ZT (2015) Non-local fractional phase-lag heat conduction: continuum to molecular dynamic simulation. Appl Phys Lett
62.
go back to reference Reddy JN (2004) Mechanics of laminated composite plates and shells: theory and analysis. CRC Press, New YorkMATHCrossRef Reddy JN (2004) Mechanics of laminated composite plates and shells: theory and analysis. CRC Press, New YorkMATHCrossRef
63.
go back to reference Shirangi M, Michel B (2010) Mechanism of moisture diffusion, hygroscopic swelling, and adhesion degradation in epoxy molding compounds, in moisture sensitivity of plastic packages of IC devices. Springer, Berlin, pp 29–69CrossRef Shirangi M, Michel B (2010) Mechanism of moisture diffusion, hygroscopic swelling, and adhesion degradation in epoxy molding compounds, in moisture sensitivity of plastic packages of IC devices. Springer, Berlin, pp 29–69CrossRef
64.
go back to reference Fourier J (1822) Theorie analytique de la chaleur, par M. Fourier. Chez Firmin Didot, père et fils Fourier J (1822) Theorie analytique de la chaleur, par M. Fourier. Chez Firmin Didot, père et fils
66.
go back to reference Smittakorn W (2001) A theoretical and experimental study of adaptive wood composites. Colorado State University Smittakorn W (2001) A theoretical and experimental study of adaptive wood composites. Colorado State University
67.
go back to reference Heyliger WSPR (2000) A discrete-layer model of laminated hygrothermopiezoelectric plates. Mech Compos Mater Struct 7(1):79–104CrossRef Heyliger WSPR (2000) A discrete-layer model of laminated hygrothermopiezoelectric plates. Mech Compos Mater Struct 7(1):79–104CrossRef
68.
go back to reference Shen C-H, Springer GS (1976) Moisture absorption and desorption of composite materials. J Compos Mater 10(1):2–20CrossRef Shen C-H, Springer GS (1976) Moisture absorption and desorption of composite materials. J Compos Mater 10(1):2–20CrossRef
69.
go back to reference Augl J, Trabocco R (1975) Environmental degradation studies on carbon fiber reinforced epoxies. In: Workshop on durability of composite materials (held on September) Augl J, Trabocco R (1975) Environmental degradation studies on carbon fiber reinforced epoxies. In: Workshop on durability of composite materials (held on September)
70.
go back to reference Chen X, Zhao S, Zhai L (2005) Moisture absorption and diffusion characterization of molding compound. J Electron Packag 127(4):460–465CrossRef Chen X, Zhao S, Zhai L (2005) Moisture absorption and diffusion characterization of molding compound. J Electron Packag 127(4):460–465CrossRef
71.
go back to reference Celik E, Guven I, Madenci E (2009) Experimental and numerical characterization of non-Fickian moisture diffusion in electronic packages. IEEE Trans Adv Packag 32(3):666–674CrossRef Celik E, Guven I, Madenci E (2009) Experimental and numerical characterization of non-Fickian moisture diffusion in electronic packages. IEEE Trans Adv Packag 32(3):666–674CrossRef
72.
go back to reference Akbarzadeh A, Pasini D (2014) Multiphysics of multilayered and functionally graded cylinders under prescribed hygrothermomagnetoelectromechanical loading. J Appl Mech 81(4):041018CrossRef Akbarzadeh A, Pasini D (2014) Multiphysics of multilayered and functionally graded cylinders under prescribed hygrothermomagnetoelectromechanical loading. J Appl Mech 81(4):041018CrossRef
73.
go back to reference Chen H-T, Liu K-C (2001) Numerical analysis of non-Fickian diffusion problems in a potential field. Numer Heat Transf: Part B: Fundam 40(3):265–282CrossRef Chen H-T, Liu K-C (2001) Numerical analysis of non-Fickian diffusion problems in a potential field. Numer Heat Transf: Part B: Fundam 40(3):265–282CrossRef
74.
go back to reference Ding S, Petuskey WT (1998) Solutions to Fick’s second law of diffusion with a sinusoidal excitation. Solid State Ionics 109(1):101–110CrossRef Ding S, Petuskey WT (1998) Solutions to Fick’s second law of diffusion with a sinusoidal excitation. Solid State Ionics 109(1):101–110CrossRef
Metadata
Title
Heat Conduction and Moisture Diffusion Theories
Authors
Prof. Dr. Zengtao Chen
Dr. Abdolhamid Akbarzadeh
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-25201-4_1

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