摘要
基于新近提出的分数阶广义热弹性理论,研究了含有球型空腔的无限大体受热冲击作用时的动态响应。该文给出分数阶广义热弹性理论下的控制方程,通过拉普拉斯积分变换及其数值反变换对控制方程进行了求解,得到了带有球型空腔无限大体中的无量纲温度、位移、径向应力和环向应力等物理量的分布规律。计算中重点研究了分数阶参数对各物理量的影响效应。结果表明:含有球腔的无限大体内由于热冲击而出现了热弹耦合效应;分数阶参数显著地影响各物理量的分布规律。
The dynamic response of an infinite body with a spherical cavity subjected to a thermal shock is investigated in the context of fractional order thermoelasticity theory proposed recently. The governing equations of the problem based on the fractional order thermoelasticity theory are formulated and solved by means of Laplace transform and its numerical inversion. The non-dimensional temperature, displacement, radial stress and hoop stress are thusly obtained and illustrated graphically. In the calculation, the emphasis is focused on investigating the effect of the fractional order theory on the variations of the physical variables considered. The results show that the thermoelastic coupling effect caused by the applied thermal shock occurs in the infinite body and the fractional order parameter significantly influences the distributions of the physical variables considered.
出处
《工程力学》
EI
CSCD
北大核心
2016年第7期31-38,共8页
Engineering Mechanics
基金
国家自然科学基金项目(11372123)
甘肃省自然科学基金项目(148RJZA007)
兰州理工大学红柳杰出人才计划项目(050454)
关键词
广义热弹性理论
热冲击
分数阶
拉普拉斯变换
球型腔体
theory of generalized thermoelasticity
thermal shock
fractional order
Laplace transform
spherical cavity
