×

Thermal contact conductance characterization via computational contact homogenization: a finite deformation theory framework. (English) Zbl 1193.74106

Summary: In order to predict the macroscopic thermal response of contact interfaces between rough surface topographies, a computational contact homogenization technique is developed at the finite deformation regime. The overall homogenization framework transfers macroscopic contact variables, such as surfacial stretch, pressure and heat flux, as boundary conditions on a test sample within a micromechanical interface testing procedure. An analysis of the thermal dissipation within the test sample reveals a thermodynamically consistent identification for the macroscopic thermal contact conductance parameter that enables the solution of a homogenized thermomechanical contact boundary value problem based on standard computational approaches. The homogenized contact response effectively predicts a temperature jump across the macroscale contact interface. The strong dependence of this homogenized response on macroscale solution variables of interest is demonstrated via representative three-dimensional numerical investigations. The proposed contact homogenization framework is suitable for the analysis of similar energy transport phenomena across heterogeneous contact interfaces where the investigation of the sources for energy dissipation is of concern.

MSC:

74M15 Contact in solid mechanics
74F05 Thermal effects in solid mechanics
74Q05 Homogenization in equilibrium problems of solid mechanics
PDF BibTeX XML Cite
Full Text: DOI

References:

[1] Prasher, Thermal interface materials: historical perspective, status and future directions, Proceedings of the IEEE 94 (8) pp 1571– (2006)
[2] Chung, Thermal interface materials, Journal of Materials Engineering and Performance 10 (1) pp 56– (2000)
[3] Madhusudana, Thermal Contact Conductance (1996)
[4] Zavarise, On the reliability of microscopical contact models, Wear 257 pp 229– (2004)
[5] Jackson, A multiscale model of thermal contact resistance between rough surfaces, Journal of Heat Transfer 130 (2008)
[6] Savija I, Culham JR, Yovanovich MM. Effective thermophysical properties of thermal interface materials: part I definitions and models. Proceedings of InterPACK2003: International Electronic Packaging Technical Conference and Exhibition, Maui, Hawaii, U.S.A., 6-11 July 2003.
[7] Savija I, Culham JR, Yovanovich MM. Effective thermophysical properties of thermal interface materials: part II experiments and data. Proceedings of InterPACK2003: International Electronic Packaging Technical Conference and Exhibition, Maui, Hawaii, U.S.A., 6-11 July 2003.
[8] Prasher, Thermal contact resistance of cured gel polymeric thermal interface material, IEEE Transactions on Components and Packaging Technologies 27 (4) pp 702– (2004)
[9] Chung, Factors that govern the performance of thermal interface materials, Journal of Electronic Materials 38 (1) pp 175– (2009)
[10] Ayers GH. Cylindrical thermal contact conductance. Master’s Thesis, Texas A&M University, College Station, TX, U.S.A., 2003.
[11] Gibbins J. Thermal contact resistance of polymer interfaces. Ph.D. Thesis, University of Waterloo, Waterloo, ON, Canada, 2006.
[12] Salti, 3-D numerical modeling of heat transfer between two sliding bodies: temperature and thermal contact resistance, International Journal of Heat and Mass Transfer 42 pp 2363– (1999) · Zbl 0984.74080
[13] Zhang, A new method for numerical simulation of thermal contact resistance in cylindrical coordinates, International Journal of Heat and Mass Transfer 47 pp 1091– (2004) · Zbl 1053.80002
[14] Thompson MK. A Multi-scale iterative approach for finite element modeling of thermal contact resistance. Ph.D. Thesis, Massachusetts Institute of Technology, Boston, MA, U.S.A., 2007.
[15] Sadowski, A model of thermal contact conductance at high real contact area fractions, Wear (2009)
[16] Orlik J. Homogenization for contact problems with periodically rough surfaces. Technical Report, Fraunhofer Institut Techno-und-Wirtschaftsmathematik, 2004. Available online via the institute website.
[17] Stupkiewicz, Micromechanics of Contact and Interface Layers (2007)
[18] Temizer, A multiscale contact homogenization technique for the modeling of third bodies in the contact interface, Computer Methods in Applied Mechanics and Engineering 198 pp 377– (2008) · Zbl 1228.74056
[19] Temizer, Inelastic analysis of granular interfaces via computational contact homogenization, International Journal for Numerical Methods in Engineering (2009) · Zbl 1202.74035
[20] Wriggers, Multi-scale approach for frictional contact of elastomers on rough rigid surfaces, Computer Methods in Applied Mechanics and Engineering 198 pp 1996– (2009)
[21] Klüppel, Rubber friction on self-affine road tracks, Rubber Chemistry and Technology 73 pp 578– (2000)
[22] Peillex, Homogenization in non-linear dynamics due to frictional contact, International Journal of Solids and Structures 45 pp 2451– (2008) · Zbl 1169.74531
[23] Temizer, On the computation of the macroscopic tangent for multiscale volumetric homogenization problems, Computer Methods in Applied Mechanics and Engineering 198 (3-4) pp 495– (2008) · Zbl 1228.74066
[24] Johnson, Contact Mechanics (1987)
[25] Zavarise, Real contact mechanisms and finite element formulation-a coupled thermomechanical approach, International Journal for Numerical Methods in Engineering 35 pp 767– (1992) · Zbl 0775.73305
[26] Song, Thermal gap conductance of conforming surfaces in contact, Journal of Heat Transfer 115 pp 533– (1993)
[27] Bahrami, Thermal joint resistance of polymer-metal rough interfaces, Journal of Electronic Packaging 128 pp 23– (2006)
[28] Wriggers, Computational Contact Mechanics (2006) · Zbl 1104.74002
[29] Temizer, An adaptive multiscale resolution strategy for the finite deformation analysis of microheterogeneous structures, Computer Methods in Applied Mechanics and Engineering (2009) · Zbl 1230.74157
[30] Bakolas, Numerical generation of arbitrarily oriented non-gaussian three-dimensional rough surfaces, Wear 254 pp 546– (2003)
[31] Başar Y, Krätzig WB. Theory of shell structures. Technical Report, Ruhr-Universität Bochum, 2000.
[32] Holzapfel, Nonlinear Solid Mechanics: A Continuum Approach for Engineering (2001)
[33] Chadwick, Thermo-mechanics of rubberlike materials, Philosophical Transactions of the Royal Society of London, Series A 276 pp 371– (1973) · Zbl 0287.73005
[34] Chadwick, Modified entropic elasticity of rubberlike materials, Journal of the Mechanics and Physics of Solids 32 (5) pp 337– (1984) · Zbl 0575.73010
[35] Miehe, Entropic thermoelasticity at finite strains: aspects of the formulation and numerical implementation, Computer Methods in Applied Mechanics and Engineering 120 pp 243– (1995) · Zbl 0851.73012
[36] Holzapfel, Entropy elasticity of isotropic rubber-like solids at finite strains, Computer Methods in Applied Mechanics and Engineering 132 pp 17– (1996) · Zbl 0890.73022
[37] Simo, Associative coupled thermoplasticity at finite strains: formulation, numerical analysis and implementation, Computer Methods in Applied Mechanics and Engineering 98 pp 41– (1992) · Zbl 0764.73088
[38] Liu, Continuum Mechanics (2002)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.