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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

王颖泽, 王谦, 刘栋, 宋新南. 弹性半空间热冲击问题的广义热弹性解[J]. 应用数学和力学, 2014, 35(6): 640-651. doi: 10.3879/j.issn.1000-0887.2014.06.006
引用本文: 王颖泽, 王谦, 刘栋, 宋新南. 弹性半空间热冲击问题的广义热弹性解[J]. 应用数学和力学, 2014, 35(6): 640-651. doi: 10.3879/j.issn.1000-0887.2014.06.006
WANG Ying-ze, WANG Qian, LIU Dong, SONG Xin-nan. Generalized Thermoelastic Solutions to the Problems of Thermal Shock on Elastic Half Space[J]. Applied Mathematics and Mechanics, 2014, 35(6): 640-651. doi: 10.3879/j.issn.1000-0887.2014.06.006
Citation: WANG Ying-ze, WANG Qian, LIU Dong, SONG Xin-nan. Generalized Thermoelastic Solutions to the Problems of Thermal Shock on Elastic Half Space[J]. Applied Mathematics and Mechanics, 2014, 35(6): 640-651. 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
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

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

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

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