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Date of download: 10/31/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. Combined Microstructure and Heat Transfer Modeling of Carbon Nanotube Thermal Interface Materials1 J. Heat Transfer. 2016;138(4): doi: / Figure Legend: Schematic representation of the modeling approach used to develop a microstructure-dependent heat transfer model of VACNT TIMs

2 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. Combined Microstructure and Heat Transfer Modeling of Carbon Nanotube Thermal Interface Materials1 J. Heat Transfer. 2016;138(4): doi: / Figure Legend: Schematic representation of the coarse-grain model

3 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. Combined Microstructure and Heat Transfer Modeling of Carbon Nanotube Thermal Interface Materials1 J. Heat Transfer. 2016;138(4): doi: / Figure Legend: Schematic of CNTs embedded in a filler matrix. One-dimensional discretization is performed along the length of the CNTs and three-dimensional rectangular cells are used in the discretization of the filler matrix.

4 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. Combined Microstructure and Heat Transfer Modeling of Carbon Nanotube Thermal Interface Materials1 J. Heat Transfer. 2016;138(4): doi: / Figure Legend: (a) Experimental load–displacement curve obtained from nanoindentation of a 10 μm tall CNT array. (b) Simulated stress–strain curves obtained from coarse-grain mechanics simulations.

5 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. Combined Microstructure and Heat Transfer Modeling of Carbon Nanotube Thermal Interface Materials1 J. Heat Transfer. 2016;138(4): doi: / Figure Legend: (a) Experimental load–displacement curve of a 10 μm tall array with unloading at indentation depths of 2 and 3 μm. (b) Unloading stress–strain curve obtained from coarse-grain simulations of 10 μm tall arrays (results averaged over four random realizations).

6 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. Combined Microstructure and Heat Transfer Modeling of Carbon Nanotube Thermal Interface Materials1 J. Heat Transfer. 2016;138(4): doi: / Figure Legend: Energy-relaxed configurations of a 5 μm tall CNT array containing 400 CNTs in the simulation box. (a) No load (point A in Fig. 4(b)), (b) strain = 0.014, load = 75 kPa (point B in Fig. 4(b)), (c) strain = 0.045, load = 160 kPa (point C in Fig. 4(b)), (d) strain = 0.11, load = 122 kPa (point D in Fig. 4(b)), and (e) strain = 0.14, load = 119 kPa (point E in Fig. 4(b)).

7 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. Combined Microstructure and Heat Transfer Modeling of Carbon Nanotube Thermal Interface Materials1 J. Heat Transfer. 2016;138(4): doi: / Figure Legend: Cumulative distribution of the number of consecutive bead–bead contacts among CNT pairs having at least one van der Waals contact

8 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. Combined Microstructure and Heat Transfer Modeling of Carbon Nanotube Thermal Interface Materials1 J. Heat Transfer. 2016;138(4): doi: / Figure Legend: Effect of paraffin wax on the total thermal resistance of a 10 μm tall CNT array

9 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. Combined Microstructure and Heat Transfer Modeling of Carbon Nanotube Thermal Interface Materials1 J. Heat Transfer. 2016;138(4): doi: / Figure Legend: Convergence of mechanics and thermal results of a 3 μm tall array with respect to simulation parameters ro and N. (a) Stress–strain curves. (b) Pressure dependence of total thermal resistance.

10 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. Combined Microstructure and Heat Transfer Modeling of Carbon Nanotube Thermal Interface Materials1 J. Heat Transfer. 2016;138(4): doi: / Figure Legend: Convergence of mechanics and thermal results of a 5 μm tall array with respect to simulation parameters ro and N. (a) Stress–strain curves. (b) Pressure dependence of total thermal resistance.

11 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. Combined Microstructure and Heat Transfer Modeling of Carbon Nanotube Thermal Interface Materials1 J. Heat Transfer. 2016;138(4): doi: / Figure Legend: (a) Variation of mean CNT tip inclination with applied load. (b) Fraction of CNTs in contact with the substrate as function of applied load. (c) Variation of CNT–substrate contact area with applied load. All the results in this figure are averaged over four random initial realizations of the CNT array.

12 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. Combined Microstructure and Heat Transfer Modeling of Carbon Nanotube Thermal Interface Materials1 J. Heat Transfer. 2016;138(4): doi: / Figure Legend: (a) Dependence of total thermal resistance of a 5 μm tall CNT array on the CNT–CNT contact conductance. (b) Sensitivity of total thermal interface resistance to CNT–CNT contact conductance (Gcc), CNT thermal conductivity (kc), and CNT–substrate contact conductance (Gcs).

13 Date of download: 10/31/2017 Copyright © ASME. All rights reserved. Combined Microstructure and Heat Transfer Modeling of Carbon Nanotube Thermal Interface Materials1 J. Heat Transfer. 2016;138(4): doi: / Figure Legend: (a) Total thermal resistance of 3, 5, and 10 μm tall CNT arrays compared with experimental measurements. (b) Diffusive thermal resistance of 3, 5, and 10 μm tall CNT arrays.


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