急速热冲击作用下实心球体的热弹性响应分析  

Thermoelastic response of a solid sphere under transient thermal shock

作　　者：王颖泽[1] 张小兵[2] 葛风华[1] 

机构地区：[1]江苏大学能源与动力工程学院,江苏镇江212013 [2]南京理工大学能源与动力工程学院,江苏南京210094

出　　处：《江苏大学学报（自然科学版）》2012年第4期414-419,共6页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11102073);江苏省自然科学基金资助项目(BK2010325);江苏大学高级人才专项基金资助项目(10JDG055)

摘　　要：基于线性热弹性理论,将修正的非傅立叶导热方程与热弹性运动方程联立,构建了急速热冲击作用下计及运动加速效应和非傅立叶效应的热弹性动力学模型.采用Laplace变换和有限汉克尔变换,推导了各向同性球形结构热弹性响应的解析解,通过计算得到了温度场、应力场的分布规律以及非傅立叶效应对热弹性响应的影响.结果表明:非傅立叶效应将加剧材料变形加速诱发的动态冲击作用,形成较常规传热更大的应力峰值,且随着热松弛时间的增大,非傅立叶效应对应力场的影响更为显著.Based on linear thermoelastic theory,the equations of revised non-Fourier heat conduction and thermoelastic motion were combined to establish thermoelastic dynamic mode with consideration of deformation acceleration effect and non-Fourier effect under the condition of transient thermal shock.The analytical solution of isotropic spherical structure was derived by Laplace transform and Limit Hankel transform method.The numerical calculation was conducted to achieve the temperature and stress distributions and to obtain the influence of non-Fourier effect on thermoelastic response.The result shows that the dynamic shock effect induced by the deformation acceleration is enhanced by non-Fourier heat conduction with increased peak stress.The influence on the stress is increased with the increasing of thermal relaxation time.

关 键 词：热冲击 热弹性响应 非傅立叶效应 实心球体 解析解 

分 类 号：O347.4[理学—固体力学] O343.6[理学—力学]