Green-Lindsay广义热弹性波通过偶应力三明治固体的传播  

Propagation of Green-Lindsay Generalized Thermoelastic Waves Through Couple-Stress Sandwich Solids

作　　者：王长达 周洋 WANG Changda;ZHOU Yang(School of Civil Engineering,Institute of Disaster Prevention,Sanhe 065201,Hebei,China;Hebei Technology Innovation Center for Multi-Hazard Resilience and Emergency Handling of Engineering Structures,Sanhe 065201,Hebei,China;Langfang Key Laboratory of Anti-Seismic Collapse of Engineering Structures,Sanhe 065201,Hebei,China)

机构地区：[1]防灾科技学院土木工程学院,河北三河065201 [2]河北省工程结构多灾害韧性与应急处置技术创新中心,河北三河065201 [3]廊坊市工程结构抗倒塌重点实验室,河北三河065201

出　　处：《力学季刊》2025年第1期130-140,共11页Chinese Quarterly of Mechanics

基　　金：河北省工程结构多灾害韧性与应急处置技术创新中心开放基金(FZ246305);廊坊市科学技术研究与发展计划(2024011030)。

摘　　要：在急速传热等极端条件下,需要建立考虑有限热传播速度的非Fourier热传导模型,其中包含了双曲型热传导方程.本文基于修正偶应力弹性理论和Green-Lindsay广义热弹性理论,得到热力耦合理论的控制方程和四种色散波(CP波、CT波、SV波和SS波).采用波函数法,完好界面条件包含面力、位移、面力偶、微旋转、温度变化和热流,入射波确定后,反射透射波通过有限厚度三明治结构的振幅比可以通过相应线性代数方程组获得.本文重点研究SV波入射时,两个热弛豫时间对CT波反射透射系数、一个偶应力参数对SV波和SS波反射透射系数的影响,最后用各波的法向能流守恒来检验数值结果.Under some extreme conditions such as rapid heat transfer,it is necessary to build the non-Fourier heat conduction model considering the finite heat propagation velocity,which includes the hyperbolic heat conduction equation.Based on the modified couple-stress elasticity theory and Green-Lindsay generalized thermoelasticity theory,the governing equations of the thermal mechanical coupling theory and four dispersive waves(CP wave,CT wave,SV wave and SS wave)are obtained in this paper.Using the wave function method,the linear algebraic equations are derived based on the intact interface conditions including surface force,displacement,surface couple,micro-rotation,temperature change and heat flow so as to determine the amplitude ratio of the reflected transmission wave through the finite thickness sandwich structure relative to the incident wave.The influences of two thermal relaxation durations on the CT wave reflection transmission coefficient,as well as one couple stress parameter on the SV wave and SS wave reflection transmission coefficient are studied via investigating the incident SV wave.Finally,the accuracy of the numerical results is verified through examining the conservation of normal energy flow for each wave.

关 键 词：偶应力 热弹性 三明治固体 能量守恒 反射/透射 

分 类 号：O3471[理学—固体力学] O441[理学—力学]