基于非局部理论的一维广义热弹问题研究  

Study on One Dimensional Generalized Thermoelastic Problem Based on Non Local Theory

作　　者：马金涛 何天虎[1] Ma Jintao;He Tianhu(School of Science,Lanzhou University of Technology,Lanzhou 730050,China)

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《甘肃科学学报》2018年第5期4-9,共6页Journal of Gansu Sciences

基　　金：国家自然科学基金(11372123)

摘　　要：在Lord-Shulman理论和Eringen非局部理论的背景下,研究了材料特性与温度相关、受移动热源作用的两端固定杆的一维动态响应问题。建立了杆的非局部热弹耦合控制方程,运用拉普拉斯变换及其数值反变换求解控制方程,得到了无量纲温度、位移和应力的分布规律。详细讨论了材料特性参数、移动热源速度和非局部效应参数对所考虑变量分布的影响。结果表明:材料特性参数对各变量有显著影响;非局部效应参数对位移和应力影响较大,对温度影响不大;移动热源速度对各变量都有明显的影响,主要体现在其峰值的变化上。Under Lord-Shulman theory and Eringen non-local theory,we studied the problem that material property is related to temperature,one dimensional dynamic response of two fixed rods subjected to a moving heat source.Build non local thermoelastic coupling control equation of bar,use Laplasse transform and its numerical inverse transformation to solve the equation,getting distribution rule of dimensionless temperature,displacement and stress.Discuss the effect of material property,moving speed of heat source and non local effect parameter on the considered variable distribution.The result shows that material property has great influence on every variable,non local effect parameter has great influence on displacement and stress,little influence on temperature,moving speed of heat source has significant influence on every,especially for peak.

关 键 词：非局部效应 广义热弹性理论 材料特性参数 移动热源 

分 类 号：O343.6[理学—固体力学]