物理学报Issue(21)：229-236,8.DOI:10.7498/aps.62.214601
热惯性对热弹性行为影响的渐近分析
Asymptotic analysis for effect of thermal inertia on thermal behaviors
摘要
Abstract
The inertia effect induced by the motion of heat flow will have a significant impact on the heat transfer, when the heat pulse dura-tion or the device structure has micro-scale characteristics. Based on the thermomass theory, the thermal wave equation is introduced to describe the motion of thermomass, and the generalized thermoelastic dynamic model involved in the thermal inertia is established by combining the constitutive relation of isotropic material. By taking into account the micro-scale characteristics for the transient heat transfer, the one-dimensional problem for the semi-infinite solid with the boundary subject to thermal impact is investigated by an analytic method, where the asymptotic solutions for thermoelastic response are obtained. With these solutions, the propagation of the thermal wave and thermal elastic wave and the distribution of the temperature, displacement and stresses are studied. By comparison with the same predictions of the L-S generalized thermoelasticity, the effect of thermal inertia on the thermal behaviors is revealed. The results show that the spatial thermal inertia induced by the motion of heat flux has an impact on the thermal behaviors, except for the temporal thermal inertia. All the velocities and wavefront locations of thermal wave and thermal elastic wave, and the time of each physical field begin to establish, the peak values of jumps and the intervals of two jumps are influenced by the spatial thermal inertia.关键词
热惯性/热质运动/广义热弹性动力学模型/渐近分析Key words
thermal inertia/thermomass motion/generalized thermoelastic dynamic model/asymptotic analysis引用本文复制引用
王颖泽,宋新南,刘栋..热惯性对热弹性行为影响的渐近分析[J].物理学报,2013,(21):229-236,8.基金项目
国家自然科学基金(批准号:11102073)、中国博士后基金(批准号:2012M511207)、江苏大学高级人才启动基金(批准号:10JDG055)和江苏高校优势学科建设项目(PAPD)资助的课题.@@@@Project supported by the National Natural Science Foundation of China (Grant No.11102073), the National Science Foundation for Post-doctoral Scientists of China (Grant No.2012M511207), the Research Foundation of Advanced Talents of Jiangsu University, China (Grant No.10JDG055), and the Priority Academic Program Development of Jiangsu Higher Education Institutions, China （批准号:11102073）
