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分数阶热弹理论下重力场对二维纤维增强介质的影响

段晓宇 马永斌

段晓宇, 马永斌. 分数阶热弹理论下重力场对二维纤维增强介质的影响[J]. 应用数学和力学, 2021, 42(5): 452-459. doi: 10.21656/1000-0887.410125
引用本文: 段晓宇, 马永斌. 分数阶热弹理论下重力场对二维纤维增强介质的影响[J]. 应用数学和力学, 2021, 42(5): 452-459. doi: 10.21656/1000-0887.410125
DUAN Xiaoyu, MA Yongbin. Effects of the Gravity Field on 2D Fiber-Reinforced Media Under the Fractional Order Theory of Thermoelasticity[J]. Applied Mathematics and Mechanics, 2021, 42(5): 452-459. doi: 10.21656/1000-0887.410125
Citation: DUAN Xiaoyu, MA Yongbin. Effects of the Gravity Field on 2D Fiber-Reinforced Media Under the Fractional Order Theory of Thermoelasticity[J]. Applied Mathematics and Mechanics, 2021, 42(5): 452-459. doi: 10.21656/1000-0887.410125

分数阶热弹理论下重力场对二维纤维增强介质的影响

doi: 10.21656/1000-0887.410125
基金项目: 国家自然科学基金(地区科学基金)(12062011);国家自然科学基金(面上项目)(11972176)
详细信息
    作者简介:

    段晓宇 (1996—),女,硕士(E-mail: 437654495@qq.com);马永斌 (1974—),男,副教授,博士,硕士生导师(通讯作者. E-mail: myb_ssy@lut.cn).

  • 中图分类号: O343.6

Effects of the Gravity Field on 2D Fiber-Reinforced Media Under the Fractional Order Theory of Thermoelasticity

Funds: The National Natural Science Foundation of China(11972176)
  • 摘要: 基于Sherief等提出的分数阶广义热弹性耦合理论,研究了在热冲击作用下二维纤维增强弹性体的热弹性问题.考虑了重力对二维纤维增强线性热弹性各向同性介质的影响,建立了控制方程.运用正则模态法,经过数值计算,对控制方程进行求解,得到了不同分数阶参数和不同重力场下无量纲温度、位移和应力分量的表达式,以图形的方式展示了变量的分布规律并对结果展开了讨论.研究结果为:重力场和分数阶参数对纤维增强介质的位移及应力有着重要的影响,但对温度的影响有限.
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出版历程
  • 收稿日期:  2020-05-06
  • 修回日期:  2020-10-16
  • 刊出日期:  2021-05-01

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