Size- and Temperature-Dependent Thermal Expansion Coefficient of a Nanofilm
ZHOU Li-Jun1, GUO Jian-Gang2, ZHAO Ya-Pu3
1Department of Mechanical Engineering, Tianjin University of Technology and Education, Tianjin 3002222Department of Mechanics, Tianjin University, Tianjin 3000723State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190
Size- and Temperature-Dependent Thermal Expansion Coefficient of a Nanofilm
ZHOU Li-Jun1, GUO Jian-Gang2, ZHAO Ya-Pu3
1Department of Mechanical Engineering, Tianjin University of Technology and Education, Tianjin 3002222Department of Mechanics, Tianjin University, Tianjin 3000723State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190
摘要The thermal expansion coefficient (TEC) of an ideal crystal is derived by using a method of Boltzmann statistics. The Morse potential energy function is adopted to show the dependence of the TEC on the temperature. By taking the effects of the surface relaxation and the surface energy into consideration, the dimensionless TEC of a nanofilm is derived. It is shown that with decreasing thickness, the TEC can increase or decrease, depending on the surface relaxation of the nanofilm.
Abstract：The thermal expansion coefficient (TEC) of an ideal crystal is derived by using a method of Boltzmann statistics. The Morse potential energy function is adopted to show the dependence of the TEC on the temperature. By taking the effects of the surface relaxation and the surface energy into consideration, the dimensionless TEC of a nanofilm is derived. It is shown that with decreasing thickness, the TEC can increase or decrease, depending on the surface relaxation of the nanofilm.
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2009, Vol. 26 
