激光脉冲加热的二维广义热弹性问题研究  

Study on Two-dimensional Generalized Thermoelastic Problem under Pulsed Laser Heating

作　　者：夏荣厚[1] 田晓耕[1] 沈亚鹏[1] 

机构地区：[1]西安交通大学强度与振动教育部重点实验室,西安710049

出　　处：《力学季刊》2008年第3期371-377,共7页Chinese Quarterly of Mechanics

摘　　要：基于L-S广义热弹性理论,研究了半无限大板局部受到激光脉冲加热时的广义热弹性问题。为避免常规积分变换方法求解带来的精度丢失,采用有限元法直接在时间域进行求解,得到了激光脉冲加热时板中的温度、位移及应力的变化规律。结果表明,直接求解方法可以准确描述热在介质中以有限的速度传播,同时发现,激光脉冲加热过后,结构的最高温度随着时间的推移逐渐降低,且最高温度的位置总在热波波前附近,此处的应力也明显高于其他区域。A generalized thermoelasticity problem for semi-infinite plane locally induced by pulsed laser heating was studied by adopting L-S generalized thermoelasticity. In order to avoid the toss of precision in general integral transformation method, the finite element control equations were solved directly in the time domain. The temperature distributions as well as displacement and stress distributions were obtained and represented graphically under pulsed laser heating in semi-infinite plane. The results show that the present method is an effective and exact numerical analysis method for the generalized thermoelasticity problem, and the maximum temperature on the structure always located near the thermal wave front and reduced gradually alone with time process, the stress near the thermal wave front is also higher than other region.

关 键 词：广义热弹性理论 有限元方法 热松弛时间 L-S理论 激光脉冲加热 

分 类 号：O343.6[理学—固体力学]