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磁-电-弹性半空间在轴对称热载荷作用下的三维问题研究

胡克强 高存法 仲政 Chen Zengtao

胡克强, 高存法, 仲政, Chen Zengtao. 磁-电-弹性半空间在轴对称热载荷作用下的三维问题研究[J]. 力学学报, 2020, 52(5): 1235-1244. doi: 10.6052/0459-1879-20-127
引用本文: 胡克强, 高存法, 仲政, Chen Zengtao. 磁-电-弹性半空间在轴对称热载荷作用下的三维问题研究[J]. 力学学报, 2020, 52(5): 1235-1244. doi: 10.6052/0459-1879-20-127
Hu Keqiang, Gao Cunfa, Zhong Zheng, Chen Zengtao. THREE-DIMENSIONAL ANALYSIS OF A MAGNETOELECTROELASTIC HALF-SPACE UNDER AXISYMMETRIC TEMPERATURE LOADING[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(5): 1235-1244. doi: 10.6052/0459-1879-20-127
Citation: Hu Keqiang, Gao Cunfa, Zhong Zheng, Chen Zengtao. THREE-DIMENSIONAL ANALYSIS OF A MAGNETOELECTROELASTIC HALF-SPACE UNDER AXISYMMETRIC TEMPERATURE LOADING[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(5): 1235-1244. doi: 10.6052/0459-1879-20-127

磁-电-弹性半空间在轴对称热载荷作用下的三维问题研究

doi: 10.6052/0459-1879-20-127
基金项目: 1)国家自然科学基金项目(11872203);创新研究群体项目(51921003)
详细信息
    通讯作者:

    胡克强

  • 中图分类号: O343.6

THREE-DIMENSIONAL ANALYSIS OF A MAGNETOELECTROELASTIC HALF-SPACE UNDER AXISYMMETRIC TEMPERATURE LOADING

  • 摘要: 考虑力-电-磁-热等多场耦合作用, 基于线性理论给出了磁-电-弹性半空间在表面轴对称温度载荷作用下的热-磁-电-弹性分析, 并得到了问题的解析解. 利用Hankel 积分变换法求解了磁-电-弹性材料中的热传导及控制方程, 讨论了在磁-电-弹性半空间在边界表面上作用局部热载荷时的混合边值问题, 利用积分变换和积分方程技术, 通过在边界表面上施加应力自由及磁-电开路条件, 推导得到了磁-电-弹性半空间中位移、电势及磁势的积分形式的表达式. 获得了磁-电-弹性半空间中温度场的解析表达式并且给出了应力, 电位移和磁通量的解析解. 数值计算结果表明温度载荷对磁-电-弹性场的分布有显著影响. 当温度载荷作用的圆域半径增大时, 最大正应力发生的位置会远离半无限大体的边界; 反之当温度载荷作用的圆域半径减小时, 最大应力发生的位置会靠近半无限大体的边界. 电场和磁场在温度载荷作用的圆域内在边界表面附近有明显的强化, 而磁-电-弹性场强化区域的强化程度跟温度载荷的大小和作用区域大小相关. 本研究的相关结果对智能材料和结构在热载荷作用下的设计和制造具有指导意义.

     

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出版历程
  • 收稿日期:  2020-04-20
  • 刊出日期:  2020-10-10

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