有限厚度圆柱壳热冲击问题的广义热弹性解  

Generalized Solution to the Thermoelastic Problem of Finite-Thickness Hollow Cylinders Subjected to Thermal Shock

作　　者：王颖泽[1] 王谦[1] 刘栋[1] 顾利平[2] 

机构地区：[1]江苏大学能源与动力工程学院,江苏镇江212013 [2]江苏太湖锅炉股份有限公司,江苏无锡214187

出　　处：《应用数学和力学》2016年第6期644-654,共11页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(51206062);江苏省博士后基金(1501126B)~~

摘　　要：针对包含有界边界的轴对称结构受热冲击作用的广义热弹性问题进行了研究分析.基于Lord-Shulman广义热弹性理论(L-S理论),构建了热冲击下有限厚度圆柱壳热弹性响应的广义热弹性模型.借助Laplace(拉普拉斯)变换技术以及Bessel函数的渐进特性,推导了温变载荷作用下,圆柱壳内部位移、温度以及应力场的解析表达式.该表达式不仅可以清楚地揭示热冲击下热波、热弹性波在壳体内部的传播、反射以及叠加的作用过程,更可准确地捕捉到热波、热弹性波波前位置处的阶跃现象,并对热冲击诱发的动态热应力峰值进行有效预测.The thermoelastic problem of the bounded axisymmetric structures subjected to transient thermal shock was studied. The thermoelastic model for a thick hollowcylinder was built in the context of the generalized Lord-Shulman theory（ L-S theory） for thermoelasticity. The Laplace transform technique and the asymptotic properties of the Bessel functions were introduced to derive the analytical solutions of displacement,temperature and stress,which were induced by a sudden temperature rise. The propagation,reflection and superposition of 2 waves,namely the thermoelastic wave and the thermal wave,respectively,were revealed through these solutions,and the jumps generated in the positions of wavefronts were also obtained clearly.

关 键 词：广义热弹性 热冲击 解析解 有限厚度圆柱壳 L-S理论 

分 类 号：O343.6[理学—固体力学]