弹性半空间热冲击问题的广义热弹性解

王颖泽; 王谦; 刘栋; 宋新南

doi:10.3879/j.issn.1000-0887.2014.06.006

弹性半空间热冲击问题的广义热弹性解

doi: 10.3879/j.issn.1000-0887.2014.06.006

江苏大学能源与动力工程学院, 江苏镇江 212013

基金项目: 国家自然科学基金(11102073);中国博士后科学基金(2012M511207);江苏高校优势学科建设项目(PAPD)

详细信息

作者简介:
王颖泽（1981—），男，河北秦皇岛人，副教授，博士(通讯作者. E-mail: wyz3701320@ujs.edu.cn)

中图分类号: O343.6
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- 被引次数: 0
出版历程
- 收稿日期: 2013-10-07
- 修回日期: 2014-05-08
- 刊出日期: 2014-06-11

Generalized Thermoelastic Solutions to the Problems of Thermal Shock on Elastic Half Space

School of Energy and Power Engineering, Jiangsu University, Zhenjiang, Jiangsu 212013, P.R.China

Funds: The National Natural Science Foundation of China(11102073); China Postdoctoral Science Foundation(2012M511207)

摘要

摘要: 基于Laplace变换技术及其极限定理，推导了基于分数阶积分的不同广义热弹性理论模型下弹性半空间受热冲击作用的渐近解，该渐近解可以准确地揭示热量在弹性体内传播的波动特性，并可以捕捉到受热冲击作用在弹性波波前位置处产生的阶跃现象.通过对热冲击下弹性波的传播及热弹性响应的渐近求解及结果分析，比较了不同广义热弹性理论对于热冲击问题的预测能力，并揭示了热传输能力的不同对于热弹性行为的影响.
- 广义热弹性 /
- 分数阶积分 /
- 渐近解 /
- 热冲击
Abstract: Based on the Laplace transform technique and its limit theorem, the asymptotic solutions to the problems of thermal shock on elastic half space were derived according to different generalized thermoelasticity models with the fractional order calculus introduced. The wavelike properties of heat propagation in elastic media were revealed accurately by these asymptotic solutions, and the jumps at the elastic wave fronts induced by thermal shock were also captured. The elastic wave propagation and the thermoelastic responses of displacement, temperature and stress fields were studied. The predictive abilities of the different generalized thermoelasticity models for thermal behaviors under thermal shock were compared, and the influence of the fractional order parameter on thermal behaviors was also be analyzed. The results show that, the molecular diffusion of heat has notable influence on the heat wave propagation, the response zones of related physical fields and the jump peak values of the temperature and stress fields, but it has little effect on the thermoelastic wave propagation.
- generalized thermoelasticity /
- fractional calculus /
- asymptotic solutions /
- thermal shock

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参考文献(20)

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